Lista över primtal: Skillnad mellan sidversioner
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Ett [[primtal]] är ett naturligt tal som är större än 1 och inte är [[delbarhet|delbart]] med något annat heltal än 1 och sig självt. Det finns oändligt många primtal, se [[Euklides sats]]. De 500 första primtalen visas i tabellen nedan. |
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| image1 = Primencomposite0100.png |
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| image2 = PDensity.JPG |
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| image3 = Primes3D.gif |
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| image4 = A 150x150 Ulam spiral of dots with varying widths.svg |
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| footer = Medurs från övre vänstra bilden: [[De naturliga talen]] från 0 till 100 där primtalen är i <span style="color: #ff0000;">rött</span>, de sammansatta talen är i <span style="color: #7fff00;">grönt</span> samt [[0 (tal)|0]] och [[1 (tal)|1]] är i <span style="color: #ffffff;">vitt</span>. En [[graf]] över det totala antalet primtal som följer varandra mellan [[Kvadrattal|kvadrattalen]] mot [[Kvadratrot|kvadratroten]] på det nedre kvadrattalet. [[Ulams spiral]] av storleken 150x150 prickar med varierande storlek på prickarna. Animering över fördelningen av primtalen i tre dimensioner.}} |
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Detta är en '''lista över primtal''' som ordnas [[Ordinaltal|ordinalt]] men även efter [[Lista över primtalsklasser|olika klasser av primtal]]. Ett [[primtal]] är ett [[naturligt tal]], som är större än [[1 (tal)|1]] och som inte har några andra positiva [[Delbarhet|delare]] än 1 och sig självt.<ref>{{Bokref|titel=The Mathematical Olympiad Handbook: An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965–1996|url=https://archive.org/details/mathematicalolym1997gard/page/26|utgivare=[[Oxford University Press]]|datum=1997|hämtdatum=13 augusti 2020|isbn=0-19-850105-6|oclc=37024771|efternamn=Gardiner|förnamn=Tony|sid=26|författarlänk=Tony Gardiner|språk=engelska|libris=4628496|utgivningsort=New York}}</ref> Enligt [[Euklides sats]] finns det oändligt många primtal.<ref>{{Bokref|titel=Number Theory and Its History.|url=https://books.google.se/books?id=Sl_6BPp7S0AC&printsec=frontcover&hl=sv&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false|utgivare=[[Dover Publications]]|hämtdatum=13 augusti 2020|isbn=0-486-65620-9|oclc=868561429|efternamn=Ore|förnamn=Øystein|år=1988|sid=65|origår=1948|språk=engelska|utgivningsort=New York|libris=4993438|upplaga=2|författarlänk=Øystein Ore}}</ref> De första {{Nowrap|1 000}} primtalen visas i den första tabellen, följt av listor med anmärkningsvärda typer av primtal i alfabetisk ordning. Notera att 1 varken är ett primtal eller ett [[sammansatt tal]].{{Anmärkning|1 är varken ett primtal eller ett sammansatt tal enligt konvention, utan kategoriseras som en [[Enhet (ringteori)|enhet]]. Vid första anblick verkar 1 uppfylla den naiva definitionen av ett primtal; delar jämt med 1 och sig självt (som är 1). Matematiker har så sent som i mitten av 1900-talet ansett 1 som ett primtal, men har sedan dess uteslutits det som primtal av olika skäl (ger komplikationer för [[aritmetikens fundamentalsats]] exempelvis).<ref>{{Webbref|url=https://www.youtube.com/watch?v=IQofiPqhJ_s|titel=1 and Prime Numbers|hämtdatum=13 augusti 2020|datum=3 februari 2012|utgivare=[[YouTube]]|språk=engelska|format=videofil|efternamn=Grime|förnamn=James|författarlänk=James Grime|verk=[[Numberphile]]|arkivurl=https://archive.vn/LANPn|arkivdatum=7 augusti 2017}}</ref>}} |
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== De 500 första primtalen == |
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== De 1 000 första primtalen == |
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{| class="wikitable" |
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! |
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Ett primtal är ett naturligt tal som är större än [[1 (tal)|1]] och som inte är en [[Produkt (matematik)|produkt]] av två andra mindre naturliga tal.<ref>{{Bokref|titel=List of prime numbers from 1 to 10,006,721.|url=http://worldcat.org/oclc/859805174|utgivare=Hafner|datum=1956|hämtdatum=13 augusti 2020|oclc=859805174|efternamn=Lehmer|förnamn=Derrick Norman|språk=engelska|utgivningsort=New York|författarlänk=Derrick Norman Lehmer|libris=2768728|id=[[Open Library|OL]] [https://openlibrary.org/books/OL6203229M/List_of_prime_numbers_from_1_to_10_006_721. 6203229M].|år=|sid=}}</ref> |
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! 1 !! 2 !! 3 !! 4 !! 5 !! 6 !! 7 !! 8 !! 9 !! 10 !! 11 !! 12 !! 13 !! 14 !! 15 !! 16 !! 17 !! 18 !! 19 !! 20 |
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|- align=center |
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{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
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! 1–20 |
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! colspan="21" | Tabell över de 1 000 första primtalen {{Ej fet|{{OEIS|A000040}}}} |
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|[[2 (tal)|2]]||[[3 (tal)|3]] || [[5 (tal)|5]] || [[7 (tal)|7]] || [[11 (tal)|11]] || [[13 (tal)|13]] ||[[17 (tal)|17]] || [[19 (tal)|19]] || [[23 (tal)|23]] || [[29 (tal)|29]] || [[31 (tal)|31]] || [[37 (tal)|37]] || [[41 (tal)|41]] || [[43 (tal)|43]] || [[47 (tal)|47]] || [[53 (tal)|53]] || [[59 (tal)|59]] || [[61 (tal)|61]] || [[67 (tal)|67]] || [[71 (tal)|71]] |
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|- |
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|- align=center |
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! {{Nowrap|1 – 20}} |
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! 21–40 |
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| [[2 (tal)|2]] |
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| [[73 (tal)|73]] || [[79 (tal)|79]] || [[83 (tal)|83]] || [[89 (tal)|89]] || [[97 (tal)|97]] || [[101 (tal)|101]]|| [[103 (tal)|103]] || [[107 (tal)|107]] || [[109 (tal)|109]] || [[113 (tal)|113]]|| [[127 (tal)|127]] || [[131 (tal)|131]] || [[137 (tal)|137]] || [[139 (tal)|139]] || [[149 (tal)|149]] || [[151 (tal)|151]] || [[157 (tal)|157]] || [[163 (tal)|163]] || [[167 (tal)|167]] || [[173 (tal)|173]] |
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| [[3 (tal)|3]] |
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|- align=center |
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| [[5 (tal)|5]] |
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! 41–60 |
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| [[7 (tal)|7]] |
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| [[179 (tal)|179]] || [[181 (tal)|181]] || [[191 (tal)|191]] || [[193 (tal)|193]] || [[197 (tal)|197]] || [[199 (tal)|199]] || [[211 (tal)|211]] || [[223 (tal)|223]] || [[227 (tal)|227]] || [[229 (tal)|229]]|| [[233 (tal)|233]] || [[239 (tal)|239]] || [[241 (tal)|241]] || [[251 (tal)|251]] || [[257 (tal)|257]] || [[263 (tal)|263]] || [[269 (tal)|269]] || [[271 (tal)|271]] || [[277 (tal)|277]] || [[281 (tal)|281]] |
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| [[11 (tal)|11]] |
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|- align=center |
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| [[13 (tal)|13]] |
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! 61–80 |
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| [[17 (tal)|17]] |
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| [[283 (tal)|283]] || [[293 (tal)|293]] || [[307 (tal)|307]] || [[311 (tal)|311]] || [[313 (tal)|313]] || [[317 (tal)|317]] || [[331 (tal)|331]] || [[337 (tal)|337]] || [[347 (tal)|347]] || [[349 (tal)|349]]|| [[353 (tal)|353]] || [[359 (tal)|359]] || [[367 (tal)|367]] || [[373 (tal)|373]] || [[379 (tal)|379]] || [[383 (tal)|383]] || [[389 (tal)|389]] || [[397 (tal)|397]] || [[401 (tal)|401]] || [[409 (tal)|409]] |
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| [[19 (tal)|19]] |
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|- align=center |
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| [[23 (tal)|23]] |
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! 81–100 |
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| [[29 (tal)|29]] |
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| [[419 (tal)|419]] || [[421 (tal)|421]] || [[431 (tal)|431]] || [[433 (tal)|433]] || [[439 (tal)|439]] || [[443 (tal)|443]] || [[449 (tal)|449]] || [[457 (tal)|457]] || [[461 (tal)|461]] || [[463 (tal)|463]]|| [[467 (tal)|467]] || [[479 (tal)|479]] || [[487 (tal)|487]] || [[491 (tal)|491]] || [[499 (tal)|499]] || [[503 (tal)|503]] || [[509 (tal)|509]] || [[521 (tal)|521]] || [[523 (tal)|523]] || [[541 (tal)|541]] |
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| [[31 (tal)|31]] |
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|- align=center |
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| [[37 (tal)|37]] |
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! 101–120 |
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| [[41 (tal)|41]] |
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| [[547 (tal)|547]] || [[557 (tal)|557]] || [[563 (tal)|563]] || [[569 (tal)|569]] || [[571 (tal)|571]] || [[577 (tal)|577]] || [[587 (tal)|587]] || [[593 (tal)|593]] || [[599 (tal)|599]] || [[601 (tal)|601]]|| [[607 (tal)|607]] || [[613 (tal)|613]] || [[617 (tal)|617]] || [[619 (tal)|619]] || [[631 (tal)|631]] || [[641 (tal)|641]] || [[643 (tal)|643]] || [[647 (tal)|647]] |
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| [[43 (tal)|43]] |
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| [[47 (tal)|47]] |
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| [[53 (tal)|53]] |
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|- align=center |
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| [[59 (tal)|59]] |
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! 121–140 |
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| [[61 (tal)|61]] |
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| [[661 (tal)|661]] || [[673 (tal)|673]] || [[677 (tal)|677]] || [[683 (tal)|683]] || [[691 (tal)|691]] || [[701 (tal)|701]] || [[709 (tal)|709]] || [[719 (tal)|719]] || [[727 (tal)|727]] || [[733 (tal)|733]]|| [[739 (tal)|739]] || [[743 (tal)|743]] || [[751 (tal)|751]] || [[757 (tal)|757]] || [[761 (tal)|761]] || [[769 (tal)|769]] || [[773 (tal)|773]] || [[787 (tal)|787]] || [[797 (tal)|797]] || [[809 (tal)|809]] |
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| [[67 (tal)|67]] |
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|- align=center |
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| [[71 (tal)|71]] |
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! 141–160 |
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|- |
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| [[811 (tal)|811]] || [[821 (tal)|821]] || [[823 (tal)|823]] || [[827 (tal)|827]] || [[829 (tal)|829]] || [[839 (tal)|839]] || [[853 (tal)|853]] || [[857 (tal)|857]] || [[859 (tal)|859]] || [[863 (tal)|863]]|| [[877 (tal)|877]] || [[881 (tal)|881]] || [[883 (tal)|883]] || [[887 (tal)|887]] || [[907 (tal)|907]] || [[911 (tal)|911]] || [[919 (tal)|919]] || [[929 (tal)|929]] || [[937 (tal)|937]] || [[941 (tal)|941]] |
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! {{Nowrap|21 – 40}} |
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|- align=center |
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| [[73 (tal)|73]] |
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! 161–180 |
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| [[79 (tal)|79]] |
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| [[947 (tal)|947]] || [[953 (tal)|953]] || [[967 (tal)|967]] || [[971 (tal)|971]] || [[977 (tal)|977]] || [[983 (tal)|983]] || [[991 (tal)|991]] || [[997 (tal)|997]] || [[1009 (tal)|1009]] || [[1013 (tal)|1013]]|| [[1019 (tal)|1019]] || [[1021 (tal)|1021]] || [[1031 (tal)|1031]] || [[1033 (tal)|1033]] || [[1039 (tal)|1039]] || [[1049 (tal)|1049]] || [[1051 (tal)|1051]] || [[1061 (tal)|1061]] || [[1063 (tal)|1063]] || [[1069 (tal)|1069]] |
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| [[83 (tal)|83]] |
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|- align=center |
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| [[89 (tal)|89]] |
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! 181–200 |
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| [[97 (tal)|97]] |
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| [[1087 (tal)|1087]] || [[1091 (tal)|1091]] || [[1093 (tal)|1093]] || [[1097 (tal)|1097]] || [[1103 (tal)|1103]] || [[1109 (tal)|1109]] || [[1117 (tal)|1117]] || [[1123 (tal)|1123]] || [[1129 (tal)|1129]] || [[1151 (tal)|1151]]|| [[1153 (tal)|1153]] || [[1163 (tal)|1163]] || [[1171 (tal)|1171]] || [[1181 (tal)|1181]] || [[1187 (tal)|1187]] || [[1193 (tal)|1193]] || [[1201 (tal)|1201]] || [[1213 (tal)|1213]] || [[1217 (tal)|1217]] || [[1223 (tal)|1223]] |
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| [[101 (tal)|101]] |
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|- align=center |
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| [[103 (tal)|103]] |
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! 201–220 |
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| [[107 (tal)|107]] |
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| [[1229 (tal)|1229]] || [[1231 (tal)|1231]] || [[1237 (tal)|1237]] || [[1249 (tal)|1249]] || [[1259 (tal)|1259]] || [[1277 (tal)|1277]] || [[1279 (tal)|1279]] || [[1283 (tal)|1283]] || [[1289 (tal)|1289]] || [[1291 (tal)|1291]]|| [[1297 (tal)|1297]] || [[1301 (tal)|1301]] || [[1303 (tal)|1303]] || [[1307 (tal)|1307]] || [[1319 (tal)|1319]] || [[1321 (tal)|1321]] || [[1327 (tal)|1327]] || [[1361 (tal)|1361]] || [[1367 (tal)|1367]] || [[1373 (tal)|1373]] |
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| [[109 (tal)|109]] |
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|- align=center |
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| [[113 (tal)|113]] |
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! 221–240 |
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| [[127 (tal)|127]] |
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| [[1381 (tal)|1381]] || [[1399 (tal)|1399]] || [[1409 (tal)|1409]] || [[1423 (tal)|1423]] || [[1427 (tal)|1427]] || [[1429 (tal)|1429]] || [[1433 (tal)|1433]] || [[1439 (tal)|1439]] || [[1447 (tal)|1447]] || [[1451 (tal)|1451]]|| [[1453 (tal)|1453]] || [[1459 (tal)|1459]] || [[1471 (tal)|1471]] || [[1481 (tal)|1481]] || [[1483 (tal)|1483]] || [[1487 (tal)|1487]] || [[1489 (tal)|1489]] || [[1493 (tal)|1493]] || [[1499 (tal)|1499]] || [[1511 (tal)|1511]] |
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| [[131 (tal)|131]] |
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|- align=center |
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| [[137 (tal)|137]] |
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! 241–260 |
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| [[139 (tal)|139]] |
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| [[1523 (tal)|1523]] || [[1531 (tal)|1531]] || [[1543 (tal)|1543]] || [[1549 (tal)|1549]] || [[1553 (tal)|1553]] || [[1559 (tal)|1559]] || [[1567 (tal)|1567]] || [[1571 (tal)|1571]] || [[1579 (tal)|1579]] || [[1583 (tal)|1583]]|| [[1597 (tal)|1597]] || [[1601 (tal)|1601]] || [[1607 (tal)|1607]] || [[1609 (tal)|1609]] || [[1613 (tal)|1613]] || [[1619 (tal)|1619]] || [[1621 (tal)|1621]] || [[1627 (tal)|1627]] || [[1637 (tal)|1637]] || [[1657 (tal)|1657]] |
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| [[149 (tal)|149]] |
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|- align=center |
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| [[151 (tal)|151]] |
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! 261–280 |
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| [[157 (tal)|157]] |
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| [[1663 (tal)|1663]] || [[1667 (tal)|1667]] || [[1669 (tal)|1669]] || [[1693 (tal)|1693]] || [[1697 (tal)|1697]] || [[1699 (tal)|1699]] || [[1709 (tal)|1709]] || [[1721 (tal)|1721]] || [[1723 (tal)|1723]] || [[1733 (tal)|1733]]|| [[1741 (tal)|1741]] || [[1747 (tal)|1747]] || [[1753 (tal)|1753]] || [[1759 (tal)|1759]] || [[1777 (tal)|1777]] || [[1783 (tal)|1783]] || [[1787 (tal)|1787]] || [[1789 (tal)|1789]] || [[1801 (tal)|1801]] || [[1811 (tal)|1811]] |
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| [[163 (tal)|163]] |
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|- align=center |
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| [[167 (tal)|167]] |
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! 281–300 |
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| [[173 (tal)|173]] |
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| [[1823 (tal)|1823]] || [[1831 (tal)|1831]] || [[1847 (tal)|1847]] || [[1861 (tal)|1861]] || [[1867 (tal)|1867]] || [[1871 (tal)|1871]] || [[1873 (tal)|1873]] || [[1877 (tal)|1877]] || [[1879 (tal)|1879]] || [[1889 (tal)|1889]]|| [[1901 (tal)|1901]] || [[1907 (tal)|1907]] || [[1913 (tal)|1913]] || [[1931 (tal)|1931]] || [[1933 (tal)|1933]] || [[1949 (tal)|1949]] || [[1951 (tal)|1951]] || [[1973 (tal)|1973]] || [[1979 (tal)|1979]] || [[1987 (tal)|1987]] |
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|- |
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|- align=center |
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! 41 – 60 |
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! 301–320 |
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| [[179 (tal)|179]] |
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| [[1993 (tal)|1993]] || [[1997 (tal)|1997]] || [[1999 (tal)|1999]] || [[2003 (tal)|2003]] || [[2011 (tal)|2011]] || [[2017 (tal)|2017]] || [[2027 (tal)|2027]] || [[2029 (tal)|2029]] || [[2039 (tal)|2039]] || [[2053 (tal)|2053]]|| [[2063 (tal)|2063]] || [[2069 (tal)|2069]] || [[2081 (tal)|2081]] || [[2083 (tal)|2083]] || [[2087 (tal)|2087]] || [[2089 (tal)|2089]] || [[2099 (tal)|2099]] || [[2111 (tal)|2111]] || [[2113 (tal)|2113]] || [[2129 (tal)|2129]] |
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| [[181 (tal)|181]] |
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|- align=center |
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| [[191 (tal)|191]] |
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! 321–340 |
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| [[193 (tal)|193]] |
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| [[2131 (tal)|2131]] || [[2137 (tal)|2137]] || [[2141 (tal)|2141]] || [[2143 (tal)|2143]] || [[2153 (tal)|2153]] || [[2161 (tal)|2161]] || [[2179 (tal)|2179]] || [[2203 (tal)|2203]] || [[2207 (tal)|2207]] || [[2213 (tal)|2213]]|| [[2221 (tal)|2221]] || [[2237 (tal)|2237]] || [[2239 (tal)|2239]] || [[2243 (tal)|2243]] || [[2251 (tal)|2251]] || [[2267 (tal)|2267]] || [[2269 (tal)|2269]] || [[2273 (tal)|2273]] || [[2281 (tal)|2281]] || [[2287 (tal)|2287]] |
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| [[197 (tal)|197]] |
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|- align=center |
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| [[199 (tal)|199]] |
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! 341–360 |
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| [[211 (tal)|211]] |
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| [[2293 (tal)|2293]] || [[2297 (tal)|2297]] || [[2309 (tal)|2309]] || [[2311 (tal)|2311]] || [[2333 (tal)|2333]] || [[2339 (tal)|2339]] || [[2341 (tal)|2341]] || [[2347 (tal)|2347]] || [[2351 (tal)|2351]] || [[2357 (tal)|2357]]|| [[2371 (tal)|2371]] || [[2377 (tal)|2377]] || [[2381 (tal)|2381]] || [[2383 (tal)|2383]] || [[2389 (tal)|2389]] || [[2393 (tal)|2393]] || [[2399 (tal)|2399]] || [[2411 (tal)|2411]] || [[2417 (tal)|2417]] || [[2423 (tal)|2423]] |
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| [[223 (tal)|223]] |
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|- align=center |
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| [[227 (tal)|227]] |
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! 361–380 |
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| [[229 (tal)|229]] |
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| [[2437 (tal)|2437]] || [[2441 (tal)|2441]] || [[2447 (tal)|2447]] || [[2459 (tal)|2459]] || [[2467 (tal)|2467]] || [[2473 (tal)|2473]] || [[2477 (tal)|2477]] || [[2503 (tal)|2503]] || [[2521 (tal)|2521]] || [[2531 (tal)|2531]]|| [[2539 (tal)|2539]] || [[2543 (tal)|2543]] || [[2549 (tal)|2549]] || [[2551 (tal)|2551]] || [[2557 (tal)|2557]] || [[2579 (tal)|2579]] || [[2591 (tal)|2591]] || [[2593 (tal)|2593]] || [[2609 (tal)|2609]] || [[2617 (tal)|2617]] |
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| [[233 (tal)|233]] |
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|- align=center |
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| [[239 (tal)|239]] |
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! 381–400 |
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| [[241 (tal)|241]] |
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| [[2621 (tal)|2621]] || [[2633 (tal)|2633]] || [[2647 (tal)|2647]] || [[2657 (tal)|2657]] || [[2659 (tal)|2659]] || [[2663 (tal)|2663]] || [[2671 (tal)|2671]] || [[2677 (tal)|2677]] || [[2683 (tal)|2683]] || [[2687 (tal)|2687]]|| [[2689 (tal)|2689]] || [[2693 (tal)|2693]] || [[2699 (tal)|2699]] || [[2707 (tal)|2707]] || [[2711 (tal)|2711]] || [[2713 (tal)|2713]] || [[2719 (tal)|2719]] || [[2729 (tal)|2729]] || [[2731 (tal)|2731]] || [[2741 (tal)|2741]] |
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| [[251 (tal)|251]] |
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|- align=center |
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| [[257 (tal)|257]] |
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! 401–420 |
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| [[263 (tal)|263]] |
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| [[2749 (tal)|2749]] || [[2753 (tal)|2753]] || [[2767 (tal)|2767]] || [[2777 (tal)|2777]] || [[2789 (tal)|2789]] || [[2791 (tal)|2791]] || [[2797 (tal)|2797]] || [[2801 (tal)|2801]] || [[2803 (tal)|2803]] || [[2819 (tal)|2819]]|| [[2833 (tal)|2833]] || [[2837 (tal)|2837]] || [[2843 (tal)|2843]] || [[2851 (tal)|2851]] || [[2857 (tal)|2857]] || [[2861 (tal)|2861]] || [[2879 (tal)|2879]] || [[2887 (tal)|2887]] || [[2897 (tal)|2897]] || [[2903 (tal)|2903]] |
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| [[269 (tal)|269]] |
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|- align=center |
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| [[271 (tal)|271]] |
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! 421–440 |
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| [[277 (tal)|277]] |
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| [[2909 (tal)|2909]] || [[2917 (tal)|2917]] || [[2927 (tal)|2927]] || [[2939 (tal)|2939]] || [[2953 (tal)|2953]] || [[2957 (tal)|2957]] || [[2963 (tal)|2963]] || [[2969 (tal)|2969]] || [[2971 (tal)|2971]] || [[2999 (tal)|2999]]|| [[3001 (tal)|3001]] || [[3011 (tal)|3011]] || [[3019 (tal)|3019]] || [[3023 (tal)|3023]] || [[3037 (tal)|3037]] || [[3041 (tal)|3041]] || [[3049 (tal)|3049]] || [[3061 (tal)|3061]] || [[3067 (tal)|3067]] || [[3079 (tal)|3079]] |
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| [[281 (tal)|281]] |
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|- align=center |
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|- |
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! 441–460 |
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! 61 – 80 |
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| [[3083 (tal)|3083]] || [[3089 (tal)|3089]] || [[3109 (tal)|3109]] || [[3119 (tal)|3119]] || [[3121 (tal)|3121]] || [[3137 (tal)|3137]] || [[3163 (tal)|3163]] || [[3167 (tal)|3167]] || [[3169 (tal)|3169]] || [[3181 (tal)|3181]]|| [[3187 (tal)|3187]] || [[3191 (tal)|3191]] || [[3203 (tal)|3203]] || [[3209 (tal)|3209]] || [[3217 (tal)|3217]] || [[3221 (tal)|3221]] || [[3229 (tal)|3229]] || [[3251 (tal)|3251]] || [[3253 (tal)|3253]] || [[3257 (tal)|3257]] |
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| [[283 (tal)|283]] |
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|- align=center |
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| [[293 (tal)|293]] |
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! 461–480 |
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| [[307 (tal)|307]] |
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| [[3259 (tal)|3259]] || [[3271 (tal)|3271]] || [[3299 (tal)|3299]] || [[3301 (tal)|3301]] || [[3307 (tal)|3307]] || [[3313 (tal)|3313]] || [[3319 (tal)|3319]] || [[3323 (tal)|3323]] || [[3329 (tal)|3329]] || [[3331 (tal)|3331]]|| [[3343 (tal)|3343]] || [[3347 (tal)|3347]] || [[3359 (tal)|3359]] || [[3361 (tal)|3361]] || [[3371 (tal)|3371]] || [[3373 (tal)|3373]] || [[3389 (tal)|3389]] || [[3391 (tal)|3391]] || [[3407 (tal)|3407]] || [[3413 (tal)|3413]] |
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| [[311 (tal)|311]] |
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|- align=center |
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| [[313 (tal)|313]] |
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! 481–500 |
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| [[317 (tal)|317]] |
|||
| [[3433 (tal)|3433]] || [[3449 (tal)|3449]] || [[3457 (tal)|3457]]|| [[3461 (tal)|3461]] || [[3463 (tal)|3463]] || [[3467 (tal)|3467]] || [[3469 (tal)|3469]] || [[3491 (tal)|3491]] || [[3499 (tal)|3499]] || [[3511 (tal)|3511]]|| [[3517 (tal)|3517]] || [[3527 (tal)|3527]] || [[3529 (tal)|3529]] || [[3533 (tal)|3533]] || [[3539 (tal)|3539]] || [[3541 (tal)|3541]] || [[3547 (tal)|3547]] || [[3557 (tal)|3557]] || [[3559 (tal)|3559]] || [[3571 (tal)|3571]] |
|||
| [[331 (tal)|331]] |
|||
| [[337 (tal)|337]] |
|||
| [[347 (tal)|347]] |
|||
| [[349 (tal)|349]] |
|||
| [[353 (tal)|353]] |
|||
| [[359 (tal)|359]] |
|||
| [[367 (tal)|367]] |
|||
| [[373 (tal)|373]] |
|||
| [[379 (tal)|379]] |
|||
| [[383 (tal)|383]] |
|||
| [[389 (tal)|389]] |
|||
| [[397 (tal)|397]] |
|||
| [[401 (tal)|401]] |
|||
| [[409 (tal)|409]] |
|||
|- |
|||
! 81 – 100 |
|||
| [[419 (tal)|419]] |
|||
| [[421 (tal)|421]] |
|||
| [[431 (tal)|431]] |
|||
| [[433 (tal)|433]] |
|||
| [[439 (tal)|439]] |
|||
| [[443 (tal)|443]] |
|||
| [[449 (tal)|449]] |
|||
| [[457 (tal)|457]] |
|||
| [[461 (tal)|461]] |
|||
| [[463 (tal)|463]] |
|||
| [[467 (tal)|467]] |
|||
| [[479 (tal)|479]] |
|||
| [[487 (tal)|487]] |
|||
| [[491 (tal)|491]] |
|||
| [[499 (tal)|499]] |
|||
| [[503 (tal)|503]] |
|||
| [[509 (tal)|509]] |
|||
| [[521 (tal)|521]] |
|||
| [[523 (tal)|523]] |
|||
| [[541 (tal)|541]] |
|||
|- |
|||
! 101 – 120 |
|||
| [[547 (tal)|547]] |
|||
| [[557 (tal)|557]] |
|||
| [[563 (tal)|563]] |
|||
| [[569 (tal)|569]] |
|||
| [[571 (tal)|571]] |
|||
| [[577 (tal)|577]] |
|||
| [[587 (tal)|587]] |
|||
| [[593 (tal)|593]] |
|||
| [[599 (tal)|599]] |
|||
| [[601 (tal)|601]] |
|||
| [[607 (tal)|607]] |
|||
| [[613 (tal)|613]] |
|||
| [[617 (tal)|617]] |
|||
| [[619 (tal)|619]] |
|||
| [[631 (tal)|631]] |
|||
| [[641 (tal)|641]] |
|||
| [[643 (tal)|643]] |
|||
| [[647 (tal)|647]] |
|||
| [[653 (tal)|653]] |
|||
| [[659 (tal)|659]] |
|||
|- |
|||
! 121 – 140 |
|||
| [[661 (tal)|661]] |
|||
| [[673 (tal)|673]] |
|||
| [[677 (tal)|677]] |
|||
| [[683 (tal)|683]] |
|||
| [[691 (tal)|691]] |
|||
| [[701 (tal)|701]] |
|||
| [[709 (tal)|709]] |
|||
| [[719 (tal)|719]] |
|||
| [[727 (tal)|727]] |
|||
| [[733 (tal)|733]] |
|||
| [[739 (tal)|739]] |
|||
| [[743 (tal)|743]] |
|||
| [[751 (tal)|751]] |
|||
| [[757 (tal)|757]] |
|||
| [[761 (tal)|761]] |
|||
| [[769 (tal)|769]] |
|||
| [[773 (tal)|773]] |
|||
| [[787 (tal)|787]] |
|||
| [[797 (tal)|797]] |
|||
| [[809 (tal)|809]] |
|||
|- |
|||
! 141 – 160 |
|||
| [[811 (tal)|811]] |
|||
| [[821 (tal)|821]] |
|||
| [[823 (tal)|823]] |
|||
| [[827 (tal)|827]] |
|||
| [[829 (tal)|829]] |
|||
| [[839 (tal)|839]] |
|||
| [[853 (tal)|853]] |
|||
| [[857 (tal)|857]] |
|||
| [[859 (tal)|859]] |
|||
| [[863 (tal)|863]] |
|||
| [[877 (tal)|877]] |
|||
| [[881 (tal)|881]] |
|||
| [[883 (tal)|883]] |
|||
| [[887 (tal)|887]] |
|||
| [[907 (tal)|907]] |
|||
| [[911 (tal)|911]] |
|||
| [[919 (tal)|919]] |
|||
| [[929 (tal)|929]] |
|||
| [[937 (tal)|937]] |
|||
| [[941 (tal)|941]] |
|||
|- |
|||
! 161 – 180 |
|||
| [[947 (tal)|947]] |
|||
| [[953 (tal)|953]] |
|||
| [[967 (tal)|967]] |
|||
| [[971 (tal)|971]] |
|||
| [[977 (tal)|977]] |
|||
| [[983 (tal)|983]] |
|||
| [[991 (tal)|991]] |
|||
| [[997 (tal)|997]] |
|||
| [[1009 (tal)|1009]] |
|||
| [[1013 (tal)|1013]] |
|||
| [[1019 (tal)|1019]] |
|||
| [[1021 (tal)|1021]] |
|||
| [[1031 (tal)|1031]] |
|||
| [[1033 (tal)|1033]] |
|||
| [[1039 (tal)|1039]] |
|||
| [[1049 (tal)|1049]] |
|||
| [[1051 (tal)|1051]] |
|||
| [[1061 (tal)|1061]] |
|||
| [[1063 (tal)|1063]] |
|||
| [[1069 (tal)|1069]] |
|||
|- |
|||
! 181 – 200 |
|||
| [[1087 (tal)|1087]] |
|||
| [[1091 (tal)|1091]] |
|||
| [[1093 (tal)|1093]] |
|||
| [[1097 (tal)|1097]] |
|||
| [[1103 (tal)|1103]] |
|||
| [[1109 (tal)|1109]] |
|||
| [[1117 (tal)|1117]] |
|||
| [[1123 (tal)|1123]] |
|||
| [[1129 (tal)|1129]] |
|||
| [[1151 (tal)|1151]] |
|||
| [[1153 (tal)|1153]] |
|||
| [[1163 (tal)|1163]] |
|||
| [[1171 (tal)|1171]] |
|||
| [[1181 (tal)|1181]] |
|||
| [[1187 (tal)|1187]] |
|||
| [[1193 (tal)|1193]] |
|||
| [[1201 (tal)|1201]] |
|||
| [[1213 (tal)|1213]] |
|||
| [[1217 (tal)|1217]] |
|||
| [[1223 (tal)|1223]] |
|||
|- |
|||
! 201 – 220 |
|||
| [[1229 (tal)|1229]] |
|||
| [[1231 (tal)|1231]] |
|||
| [[1237 (tal)|1237]] |
|||
| [[1249 (tal)|1249]] |
|||
| [[1259 (tal)|1259]] |
|||
| [[1277 (tal)|1277]] |
|||
| [[1279 (tal)|1279]] |
|||
| [[1283 (tal)|1283]] |
|||
| [[1289 (tal)|1289]] |
|||
| [[1291 (tal)|1291]] |
|||
| [[1297 (tal)|1297]] |
|||
| [[1301 (tal)|1301]] |
|||
| [[1303 (tal)|1303]] |
|||
| [[1307 (tal)|1307]] |
|||
| [[1319 (tal)|1319]] |
|||
| [[1321 (tal)|1321]] |
|||
| [[1327 (tal)|1327]] |
|||
| [[1361 (tal)|1361]] |
|||
| [[1367 (tal)|1367]] |
|||
| [[1373 (tal)|1373]] |
|||
|- |
|||
! 221 – 240 |
|||
| [[1381 (tal)|1381]] |
|||
| [[1399 (tal)|1399]] |
|||
| [[1409 (tal)|1409]] |
|||
| [[1423 (tal)|1423]] |
|||
| [[1427 (tal)|1427]] |
|||
| [[1429 (tal)|1429]] |
|||
| [[1433 (tal)|1433]] |
|||
| [[1439 (tal)|1439]] |
|||
| [[1447 (tal)|1447]] |
|||
| [[1451 (tal)|1451]] |
|||
| [[1453 (tal)|1453]] |
|||
| [[1459 (tal)|1459]] |
|||
| [[1471 (tal)|1471]] |
|||
| [[1481 (tal)|1481]] |
|||
| [[1483 (tal)|1483]] |
|||
| [[1487 (tal)|1487]] |
|||
| [[1489 (tal)|1489]] |
|||
| [[1493 (tal)|1493]] |
|||
| [[1499 (tal)|1499]] |
|||
| [[1511 (tal)|1511]] |
|||
|- |
|||
! 241 – 260 |
|||
| [[1523 (tal)|1523]] |
|||
| [[1531 (tal)|1531]] |
|||
| [[1543 (tal)|1543]] |
|||
| [[1549 (tal)|1549]] |
|||
| [[1553 (tal)|1553]] |
|||
| [[1559 (tal)|1559]] |
|||
| [[1567 (tal)|1567]] |
|||
| [[1571 (tal)|1571]] |
|||
| [[1579 (tal)|1579]] |
|||
| [[1583 (tal)|1583]] |
|||
| [[1597 (tal)|1597]] |
|||
| [[1601 (tal)|1601]] |
|||
| [[1607 (tal)|1607]] |
|||
| [[1609 (tal)|1609]] |
|||
| [[1613 (tal)|1613]] |
|||
| [[1619 (tal)|1619]] |
|||
| [[1621 (tal)|1621]] |
|||
| [[1627 (tal)|1627]] |
|||
| [[1637 (tal)|1637]] |
|||
| [[1657 (tal)|1657]] |
|||
|- |
|||
! 261 – 280 |
|||
| [[1663 (tal)|1663]] |
|||
| [[1667 (tal)|1667]] |
|||
| [[1669 (tal)|1669]] |
|||
| [[1693 (tal)|1693]] |
|||
| [[1697 (tal)|1697]] |
|||
| [[1699 (tal)|1699]] |
|||
| [[1709 (tal)|1709]] |
|||
| [[1721 (tal)|1721]] |
|||
| [[1723 (tal)|1723]] |
|||
| [[1733 (tal)|1733]] |
|||
| [[1741 (tal)|1741]] |
|||
| [[1747 (tal)|1747]] |
|||
| [[1753 (tal)|1753]] |
|||
| [[1759 (tal)|1759]] |
|||
| [[1777 (tal)|1777]] |
|||
| [[1783 (tal)|1783]] |
|||
| [[1787 (tal)|1787]] |
|||
| [[1789 (tal)|1789]] |
|||
| [[1801 (tal)|1801]] |
|||
| [[1811 (tal)|1811]] |
|||
|- |
|||
! 281 – 300 |
|||
| [[1823 (tal)|1823]] |
|||
| [[1831 (tal)|1831]] |
|||
| [[1847 (tal)|1847]] |
|||
| [[1861 (tal)|1861]] |
|||
| [[1867 (tal)|1867]] |
|||
| [[1871 (tal)|1871]] |
|||
| [[1873 (tal)|1873]] |
|||
| [[1877 (tal)|1877]] |
|||
| [[1879 (tal)|1879]] |
|||
| [[1889 (tal)|1889]] |
|||
| [[1901 (tal)|1901]] |
|||
| [[1907 (tal)|1907]] |
|||
| [[1913 (tal)|1913]] |
|||
| [[1931 (tal)|1931]] |
|||
| [[1933 (tal)|1933]] |
|||
| [[1949 (tal)|1949]] |
|||
| [[1951 (tal)|1951]] |
|||
| [[1973 (tal)|1973]] |
|||
| [[1979 (tal)|1979]] |
|||
| [[1987 (tal)|1987]] |
|||
|- |
|||
! 301 – 320 |
|||
| [[1993 (tal)|1993]] |
|||
| [[1997 (tal)|1997]] |
|||
| [[1999 (tal)|1999]] |
|||
| [[2003 (tal)|2003]] |
|||
| [[2011 (tal)|2011]] |
|||
| [[2017 (tal)|2017]] |
|||
| [[2027 (tal)|2027]] |
|||
| [[2029 (tal)|2029]] |
|||
| [[2039 (tal)|2039]] |
|||
| [[2053 (tal)|2053]] |
|||
| [[2063 (tal)|2063]] |
|||
| [[2069 (tal)|2069]] |
|||
| [[2081 (tal)|2081]] |
|||
| [[2083 (tal)|2083]] |
|||
| [[2087 (tal)|2087]] |
|||
| [[2089 (tal)|2089]] |
|||
| [[2099 (tal)|2099]] |
|||
| [[2111 (tal)|2111]] |
|||
| [[2113 (tal)|2113]] |
|||
| [[2129 (tal)|2129]] |
|||
|- |
|||
! 321 – 340 |
|||
| [[2131 (tal)|2131]] |
|||
| [[2137 (tal)|2137]] |
|||
| [[2141 (tal)|2141]] |
|||
| [[2143 (tal)|2143]] |
|||
| [[2153 (tal)|2153]] |
|||
| [[2161 (tal)|2161]] |
|||
| [[2179 (tal)|2179]] |
|||
| [[2203 (tal)|2203]] |
|||
| [[2207 (tal)|2207]] |
|||
| [[2213 (tal)|2213]] |
|||
| [[2221 (tal)|2221]] |
|||
| [[2237 (tal)|2237]] |
|||
| [[2239 (tal)|2239]] |
|||
| [[2243 (tal)|2243]] |
|||
| [[2251 (tal)|2251]] |
|||
| [[2267 (tal)|2267]] |
|||
| [[2269 (tal)|2269]] |
|||
| [[2273 (tal)|2273]] |
|||
| [[2281 (tal)|2281]] |
|||
| [[2287 (tal)|2287]] |
|||
|- |
|||
! 341 – 360 |
|||
| [[2293 (tal)|2293]] |
|||
| [[2297 (tal)|2297]] |
|||
| [[2309 (tal)|2309]] |
|||
| [[2311 (tal)|2311]] |
|||
| [[2333 (tal)|2333]] |
|||
| [[2339 (tal)|2339]] |
|||
| [[2341 (tal)|2341]] |
|||
| [[2347 (tal)|2347]] |
|||
| [[2351 (tal)|2351]] |
|||
| [[2357 (tal)|2357]] |
|||
| [[2371 (tal)|2371]] |
|||
| [[2377 (tal)|2377]] |
|||
| [[2381 (tal)|2381]] |
|||
| [[2383 (tal)|2383]] |
|||
| [[2389 (tal)|2389]] |
|||
| [[2393 (tal)|2393]] |
|||
| [[2399 (tal)|2399]] |
|||
| [[2411 (tal)|2411]] |
|||
| [[2417 (tal)|2417]] |
|||
| [[2423 (tal)|2423]] |
|||
|- |
|||
! 361 – 380 |
|||
| [[2437 (tal)|2437]] |
|||
| [[2441 (tal)|2441]] |
|||
| [[2447 (tal)|2447]] |
|||
| [[2459 (tal)|2459]] |
|||
| [[2467 (tal)|2467]] |
|||
| [[2473 (tal)|2473]] |
|||
| [[2477 (tal)|2477]] |
|||
| [[2503 (tal)|2503]] |
|||
| [[2521 (tal)|2521]] |
|||
| [[2531 (tal)|2531]] |
|||
| [[2539 (tal)|2539]] |
|||
| [[2543 (tal)|2543]] |
|||
| [[2549 (tal)|2549]] |
|||
| [[2551 (tal)|2551]] |
|||
| [[2557 (tal)|2557]] |
|||
| [[2579 (tal)|2579]] |
|||
| [[2591 (tal)|2591]] |
|||
| [[2593 (tal)|2593]] |
|||
| [[2609 (tal)|2609]] |
|||
| [[2617 (tal)|2617]] |
|||
|- |
|||
! 381 – 400 |
|||
| [[2621 (tal)|2621]] |
|||
| [[2633 (tal)|2633]] |
|||
| [[2647 (tal)|2647]] |
|||
| [[2657 (tal)|2657]] |
|||
| [[2659 (tal)|2659]] |
|||
| [[2663 (tal)|2663]] |
|||
| [[2671 (tal)|2671]] |
|||
| [[2677 (tal)|2677]] |
|||
| [[2683 (tal)|2683]] |
|||
| [[2687 (tal)|2687]] |
|||
| [[2689 (tal)|2689]] |
|||
| [[2693 (tal)|2693]] |
|||
| [[2699 (tal)|2699]] |
|||
| [[2707 (tal)|2707]] |
|||
| [[2711 (tal)|2711]] |
|||
| [[2713 (tal)|2713]] |
|||
| [[2719 (tal)|2719]] |
|||
| [[2729 (tal)|2729]] |
|||
| [[2731 (tal)|2731]] |
|||
| [[2741 (tal)|2741]] |
|||
|- |
|||
! 401 – 420 |
|||
| [[2749 (tal)|2749]] |
|||
| [[2753 (tal)|2753]] |
|||
| [[2767 (tal)|2767]] |
|||
| [[2777 (tal)|2777]] |
|||
| [[2789 (tal)|2789]] |
|||
| [[2791 (tal)|2791]] |
|||
| [[2797 (tal)|2797]] |
|||
| [[2801 (tal)|2801]] |
|||
| [[2803 (tal)|2803]] |
|||
| [[2819 (tal)|2819]] |
|||
| [[2833 (tal)|2833]] |
|||
| [[2837 (tal)|2837]] |
|||
| [[2843 (tal)|2843]] |
|||
| [[2851 (tal)|2851]] |
|||
| [[2857 (tal)|2857]] |
|||
| [[2861 (tal)|2861]] |
|||
| [[2879 (tal)|2879]] |
|||
| [[2887 (tal)|2887]] |
|||
| [[2897 (tal)|2897]] |
|||
| [[2903 (tal)|2903]] |
|||
|- |
|||
! 421 – 440 |
|||
| [[2909 (tal)|2909]] |
|||
| [[2917 (tal)|2917]] |
|||
| [[2927 (tal)|2927]] |
|||
| [[2939 (tal)|2939]] |
|||
| [[2953 (tal)|2953]] |
|||
| [[2957 (tal)|2957]] |
|||
| [[2963 (tal)|2963]] |
|||
| [[2969 (tal)|2969]] |
|||
| [[2971 (tal)|2971]] |
|||
| [[2999 (tal)|2999]] |
|||
| [[3001 (tal)|3001]] |
|||
| [[3011 (tal)|3011]] |
|||
| [[3019 (tal)|3019]] |
|||
| [[3023 (tal)|3023]] |
|||
| [[3037 (tal)|3037]] |
|||
| [[3041 (tal)|3041]] |
|||
| [[3049 (tal)|3049]] |
|||
| [[3061 (tal)|3061]] |
|||
| [[3067 (tal)|3067]] |
|||
| [[3079 (tal)|3079]] |
|||
|- |
|||
! 441 – 460 |
|||
| [[3083 (tal)|3083]] |
|||
| [[3089 (tal)|3089]] |
|||
| [[3109 (tal)|3109]] |
|||
| [[3119 (tal)|3119]] |
|||
| [[3121 (tal)|3121]] |
|||
| [[3137 (tal)|3137]] |
|||
| [[3163 (tal)|3163]] |
|||
| [[3167 (tal)|3167]] |
|||
| [[3169 (tal)|3169]] |
|||
| [[3181 (tal)|3181]] |
|||
| [[3187 (tal)|3187]] |
|||
| [[3191 (tal)|3191]] |
|||
| [[3203 (tal)|3203]] |
|||
| [[3209 (tal)|3209]] |
|||
| [[3217 (tal)|3217]] |
|||
| [[3221 (tal)|3221]] |
|||
| [[3229 (tal)|3229]] |
|||
| [[3251 (tal)|3251]] |
|||
| [[3253 (tal)|3253]] |
|||
| [[3257 (tal)|3257]] |
|||
|- |
|||
! 461 – 480 |
|||
| [[3259 (tal)|3259]] |
|||
| [[3271 (tal)|3271]] |
|||
| [[3299 (tal)|3299]] |
|||
| [[3301 (tal)|3301]] |
|||
| [[3307 (tal)|3307]] |
|||
| [[3313 (tal)|3313]] |
|||
| [[3319 (tal)|3319]] |
|||
| [[3323 (tal)|3323]] |
|||
| [[3329 (tal)|3329]] |
|||
| [[3331 (tal)|3331]] |
|||
| [[3343 (tal)|3343]] |
|||
| [[3347 (tal)|3347]] |
|||
| [[3359 (tal)|3359]] |
|||
| [[3361 (tal)|3361]] |
|||
| [[3371 (tal)|3371]] |
|||
| [[3373 (tal)|3373]] |
|||
| [[3389 (tal)|3389]] |
|||
| [[3391 (tal)|3391]] |
|||
| [[3407 (tal)|3407]] |
|||
| [[3413 (tal)|3413]] |
|||
|- |
|||
! 481 – 500 |
|||
| [[3433 (tal)|3433]] |
|||
| [[3449 (tal)|3449]] |
|||
| [[3457 (tal)|3457]] |
|||
| [[3461 (tal)|3461]] |
|||
| [[3463 (tal)|3463]] |
|||
| [[3467 (tal)|3467]] |
|||
| [[3469 (tal)|3469]] |
|||
| [[3491 (tal)|3491]] |
|||
| [[3499 (tal)|3499]] |
|||
| [[3511 (tal)|3511]] |
|||
| [[3517 (tal)|3517]] |
|||
| [[3527 (tal)|3527]] |
|||
| [[3529 (tal)|3529]] |
|||
| [[3533 (tal)|3533]] |
|||
| [[3539 (tal)|3539]] |
|||
| [[3541 (tal)|3541]] |
|||
| [[3547 (tal)|3547]] |
|||
| [[3557 (tal)|3557]] |
|||
| [[3559 (tal)|3559]] |
|||
| [[3571 (tal)|3571]] |
|||
|- |
|||
! 501 – 520 |
|||
| [[3581 (tal)|3581]] |
|||
| [[3583 (tal)|3583]] |
|||
| [[3593 (tal)|3593]] |
|||
| [[3607 (tal)|3607]] |
|||
| [[3613 (tal)|3613]] |
|||
| [[3617 (tal)|3617]] |
|||
| [[3623 (tal)|3623]] |
|||
| [[3631 (tal)|3631]] |
|||
| [[3637 (tal)|3637]] |
|||
| [[3643 (tal)|3643]] |
|||
| [[3659 (tal)|3659]] |
|||
| [[3671 (tal)|3671]] |
|||
| [[3673 (tal)|3673]] |
|||
| [[3677 (tal)|3677]] |
|||
| [[3691 (tal)|3691]] |
|||
| [[3697 (tal)|3697]] |
|||
| [[3701 (tal)|3701]] |
|||
| [[3709 (tal)|3709]] |
|||
| [[3719 (tal)|3719]] |
|||
| [[3727 (tal)|3727]] |
|||
|- |
|||
! 521 – 540 |
|||
| [[3733 (tal)|3733]] |
|||
| [[3739 (tal)|3739]] |
|||
| [[3761 (tal)|3761]] |
|||
| [[3767 (tal)|3767]] |
|||
| [[3769 (tal)|3769]] |
|||
| [[3779 (tal)|3779]] |
|||
| [[3793 (tal)|3793]] |
|||
| [[3797 (tal)|3797]] |
|||
| [[3803 (tal)|3803]] |
|||
| [[3821 (tal)|3821]] |
|||
| [[3823 (tal)|3823]] |
|||
| [[3833 (tal)|3833]] |
|||
| [[3847 (tal)|3847]] |
|||
| [[3851 (tal)|3851]] |
|||
| [[3853 (tal)|3853]] |
|||
| [[3863 (tal)|3863]] |
|||
| [[3877 (tal)|3877]] |
|||
| [[3881 (tal)|3881]] |
|||
| [[3889 (tal)|3889]] |
|||
| [[3907 (tal)|3907]] |
|||
|- |
|||
! 541 – 560 |
|||
| [[3911 (tal)|3911]] |
|||
| [[3917 (tal)|3917]] |
|||
| [[3919 (tal)|3919]] |
|||
| [[3923 (tal)|3923]] |
|||
| [[3929 (tal)|3929]] |
|||
| [[3931 (tal)|3931]] |
|||
| [[3943 (tal)|3943]] |
|||
| [[3947 (tal)|3947]] |
|||
| [[3967 (tal)|3967]] |
|||
| [[3989 (tal)|3989]] |
|||
| [[4001 (tal)|4001]] |
|||
| [[4003 (tal)|4003]] |
|||
| [[4007 (tal)|4007]] |
|||
| [[4013 (tal)|4013]] |
|||
| [[4019 (tal)|4019]] |
|||
| [[4021 (tal)|4021]] |
|||
| [[4027 (tal)|4027]] |
|||
| [[4049 (tal)|4049]] |
|||
| [[4051 (tal)|4051]] |
|||
| [[4057 (tal)|4057]] |
|||
|- |
|||
! 561 – 580 |
|||
| [[4073 (tal)|4073]] |
|||
| [[4079 (tal)|4079]] |
|||
| [[4091 (tal)|4091]] |
|||
| [[4093 (tal)|4093]] |
|||
| [[4099 (tal)|4099]] |
|||
| [[4111 (tal)|4111]] |
|||
| [[4127 (tal)|4127]] |
|||
| [[4129 (tal)|4129]] |
|||
| [[4133 (tal)|4133]] |
|||
| [[4139 (tal)|4139]] |
|||
| [[4153 (tal)|4153]] |
|||
| [[4157 (tal)|4157]] |
|||
| [[4159 (tal)|4159]] |
|||
| [[4177 (tal)|4177]] |
|||
| [[4201 (tal)|4201]] |
|||
| [[4211 (tal)|4211]] |
|||
| [[4217 (tal)|4217]] |
|||
| [[4219 (tal)|4219]] |
|||
| [[4229 (tal)|4229]] |
|||
| [[4231 (tal)|4231]] |
|||
|- |
|||
! 581 – 600 |
|||
| [[4241 (tal)|4241]] |
|||
| [[4243 (tal)|4243]] |
|||
| [[4253 (tal)|4253]] |
|||
| [[4259 (tal)|4259]] |
|||
| [[4261 (tal)|4261]] |
|||
| [[4271 (tal)|4271]] |
|||
| [[4273 (tal)|4273]] |
|||
| [[4283 (tal)|4283]] |
|||
| [[4289 (tal)|4289]] |
|||
| [[4297 (tal)|4297]] |
|||
| [[4327 (tal)|4327]] |
|||
| [[4337 (tal)|4337]] |
|||
| [[4339 (tal)|4339]] |
|||
| [[4349 (tal)|4349]] |
|||
| [[4357 (tal)|4357]] |
|||
| [[4363 (tal)|4363]] |
|||
| [[4373 (tal)|4373]] |
|||
| [[4391 (tal)|4391]] |
|||
| [[4397 (tal)|4397]] |
|||
| [[4209 (tal)|4409]] |
|||
|- |
|||
! 601 – 620 |
|||
| [[4421 (tal)|4421]] |
|||
| [[4423 (tal)|4423]] |
|||
| [[4441 (tal)|4441]] |
|||
| [[4447 (tal)|4447]] |
|||
| [[4451 (tal)|4451]] |
|||
| [[4457 (tal)|4457]] |
|||
| [[4463 (tal)|4463]] |
|||
| [[4481 (tal)|4481]] |
|||
| [[4483 (tal)|4483]] |
|||
| [[4493 (tal)|4493]] |
|||
| [[4507 (tal)|4507]] |
|||
| [[4513 (tal)|4513]] |
|||
| [[4517 (tal)|4517]] |
|||
| [[4519 (tal)|4519]] |
|||
| [[4523 (tal)|4523]] |
|||
| [[4547 (tal)|4547]] |
|||
| [[4549 (tal)|4549]] |
|||
| [[4561 (tal)|4561]] |
|||
| [[4567 (tal)|4567]] |
|||
| [[4583 (tal)|4583]] |
|||
|- |
|||
! 621 – 640 |
|||
| [[4591 (tal)|4591]] |
|||
| [[4597 (tal)|4597]] |
|||
| [[4603 (tal)|4603]] |
|||
| [[4621 (tal)|4621]] |
|||
| [[4637 (tal)|4637]] |
|||
| [[4639 (tal)|4639]] |
|||
| [[4643 (tal)|4643]] |
|||
| [[4649 (tal)|4649]] |
|||
| [[4651 (tal)|4651]] |
|||
| [[4657 (tal)|4657]] |
|||
| [[4663 (tal)|4663]] |
|||
| [[4673 (tal)|4673]] |
|||
| [[4679 (tal)|4679]] |
|||
| [[4691 (tal)|4691]] |
|||
| [[4703 (tal)|4703]] |
|||
| [[4721 (tal)|4721]] |
|||
| [[4723 (tal)|4723]] |
|||
| [[4729 (tal)|4729]] |
|||
| [[4733 (tal)|4733]] |
|||
| [[4751 (tal)|4751]] |
|||
|- |
|||
! 641 – 660 |
|||
| [[4759 (tal)|4759]] |
|||
| [[4783 (tal)|4783]] |
|||
| [[4787 (tal)|4787]] |
|||
| [[4789 (tal)|4789]] |
|||
| [[4793 (tal)|4793]] |
|||
| [[4799 (tal)|4799]] |
|||
| [[4801 (tal)|4801]] |
|||
| [[4813 (tal)|4813]] |
|||
| [[4817 (tal)|4817]] |
|||
| [[4831 (tal)|4831]] |
|||
| [[4861 (tal)|4861]] |
|||
| [[4871 (tal)|4871]] |
|||
| [[4877 (tal)|4877]] |
|||
| [[4889 (tal)|4889]] |
|||
| [[4903 (tal)|4903]] |
|||
| [[4909 (tal)|4909]] |
|||
| [[4919 (tal)|4919]] |
|||
| [[4931 (tal)|4931]] |
|||
| [[4933 (tal)|4933]] |
|||
| [[4937 (tal)|4937]] |
|||
|- |
|||
! 661 – 680 |
|||
| [[4943 (tal)|4943]] |
|||
| [[4951 (tal)|4951]] |
|||
| [[4957 (tal)|4957]] |
|||
| [[4967 (tal)|4967]] |
|||
| [[4969 (tal)|4969]] |
|||
| [[4973 (tal)|4973]] |
|||
| [[4987 (tal)|4987]] |
|||
| [[4993 (tal)|4993]] |
|||
| [[4999 (tal)|4999]] |
|||
| [[5003 (tal)|5003]] |
|||
| [[5009 (tal)|5009]] |
|||
| [[5011 (tal)|5011]] |
|||
| [[5021 (tal)|5021]] |
|||
| [[5023 (tal)|5023]] |
|||
| [[5039 (tal)|5039]] |
|||
| [[5051 (tal)|5051]] |
|||
| [[5059 (tal)|5059]] |
|||
| [[5077 (tal)|5077]] |
|||
| [[5081 (tal)|5081]] |
|||
| [[5087 (tal)|5087]] |
|||
|- |
|||
! 681 – 700 |
|||
| [[5099 (tal)|5099]] |
|||
| [[5101 (tal)|5101]] |
|||
| [[5107 (tal)|5107]] |
|||
| [[5113 (tal)|5113]] |
|||
| [[5119 (tal)|5119]] |
|||
| [[5147 (tal)|5147]] |
|||
| [[5153 (tal)|5153]] |
|||
| [[5167 (tal)|5167]] |
|||
| [[5171 (tal)|5171]] |
|||
| [[5179 (tal)|5179]] |
|||
| [[5189 (tal)|5189]] |
|||
| [[5197 (tal)|5197]] |
|||
| [[5209 (tal)|5209]] |
|||
| [[5227 (tal)|5227]] |
|||
| [[5231 (tal)|5231]] |
|||
| [[5233 (tal)|5233]] |
|||
| [[5237 (tal)|5237]] |
|||
| [[5261 (tal)|5261]] |
|||
| [[5273 (tal)|5273]] |
|||
| [[5279 (tal)|5279]] |
|||
|- |
|||
! 701 – 720 |
|||
| [[5281 (tal)|5281]] |
|||
| [[5297 (tal)|5297]] |
|||
| [[5303 (tal)|5303]] |
|||
| [[5309 (tal)|5309]] |
|||
| [[5323 (tal)|5323]] |
|||
| [[5333 (tal)|5333]] |
|||
| [[5347 (tal)|5347]] |
|||
| [[5351 (tal)|5351]] |
|||
| [[5381 (tal)|5381]] |
|||
| [[5387 (tal)|5387]] |
|||
| [[5393 (tal)|5393]] |
|||
| [[5399 (tal)|5399]] |
|||
| [[5407 (tal)|5407]] |
|||
| [[5413 (tal)|5413]] |
|||
| [[5417 (tal)|5417]] |
|||
| [[5419 (tal)|5419]] |
|||
| [[5431 (tal)|5431]] |
|||
| [[5437 (tal)|5437]] |
|||
| [[5441 (tal)|5441]] |
|||
| [[5443 (tal)|5443]] |
|||
|- |
|||
! 721 – 740 |
|||
| [[5449 (tal)|5449]] |
|||
| [[5471 (tal)|5471]] |
|||
| [[5477 (tal)|5477]] |
|||
| [[5479 (tal)|5479]] |
|||
| [[5483 (tal)|5483]] |
|||
| [[5501 (tal)|5501]] |
|||
| [[5503 (tal)|5503]] |
|||
| [[5507 (tal)|5507]] |
|||
| [[5519 (tal)|5519]] |
|||
| [[5521 (tal)|5521]] |
|||
| [[5527 (tal)|5527]] |
|||
| [[5531 (tal)|5531]] |
|||
| [[5557 (tal)|5557]] |
|||
| [[5563 (tal)|5563]] |
|||
| [[5569 (tal)|5569]] |
|||
| [[5573 (tal)|5573]] |
|||
| [[5581 (tal)|5581]] |
|||
| [[5591 (tal)|5591]] |
|||
| [[5623 (tal)|5623]] |
|||
| [[5639 (tal)|5639]] |
|||
|- |
|||
! 741 – 760 |
|||
| [[5641 (tal)|5641]] |
|||
| [[5647 (tal)|5647]] |
|||
| [[5651 (tal)|5651]] |
|||
| [[5653 (tal)|5653]] |
|||
| [[5657 (tal)|5657]] |
|||
| [[5659 (tal)|5659]] |
|||
| [[5669 (tal)|5669]] |
|||
| [[5683 (tal)|5683]] |
|||
| [[5689 (tal)|5689]] |
|||
| [[5693 (tal)|5693]] |
|||
| [[5701 (tal)|5701]] |
|||
| [[5711 (tal)|5711]] |
|||
| [[5717 (tal)|5717]] |
|||
| [[5737 (tal)|5737]] |
|||
| [[5741 (tal)|5741]] |
|||
| [[5743 (tal)|5743]] |
|||
| [[5749 (tal)|5749]] |
|||
| [[5779 (tal)|5779]] |
|||
| [[5783 (tal)|5783]] |
|||
| [[5791 (tal)|5791]] |
|||
|- |
|||
! 761 – 780 |
|||
| [[5801 (tal)|5801]] |
|||
| [[5807 (tal)|5807]] |
|||
| [[5813 (tal)|5813]] |
|||
| [[5821 (tal)|5821]] |
|||
| [[5827 (tal)|5827]] |
|||
| [[5839 (tal)|5839]] |
|||
| [[5843 (tal)|5843]] |
|||
| [[5949 (tal)|5849]] |
|||
| [[5851 (tal)|5851]] |
|||
| [[5857 (tal)|5857]] |
|||
| [[5861 (tal)|5861]] |
|||
| [[5867 (tal)|5867]] |
|||
| [[5869 (tal)|5869]] |
|||
| [[5879 (tal)|5879]] |
|||
| [[5881 (tal)|5881]] |
|||
| [[5897 (tal)|5897]] |
|||
| [[5903 (tal)|5903]] |
|||
| [[5923 (tal)|5923]] |
|||
| [[5927 (tal)|5927]] |
|||
| [[5939 (tal)|5939]] |
|||
|- |
|||
! {{Nowrap|781 – 800}} |
|||
| [[5953 (tal)|5953]] |
|||
| [[5981 (tal)|5981]] |
|||
| [[5987 (tal)|5987]] |
|||
| [[6007 (tal)|6007]] |
|||
| [[6011 (tal)|6011]] |
|||
| [[6029 (tal)|6029]] |
|||
| [[6037 (tal)|6037]] |
|||
| [[6043 (tal)|6043]] |
|||
| [[6047 (tal)|6047]] |
|||
| [[6053 (tal)|6053]] |
|||
| [[6067 (tal)|6067]] |
|||
| [[6073 (tal)|6073]] |
|||
| [[6079 (tal)|6079]] |
|||
| [[6089 (tal)|6089]] |
|||
| [[6091 (tal)|6091]] |
|||
| [[6101 (tal)|6101]] |
|||
| [[6113 (tal)|6113]] |
|||
| [[6121 (tal)|6121]] |
|||
| [[6131 (tal)|6131]] |
|||
| [[6133 (tal)|6133]] |
|||
|- |
|||
! {{Nowrap|801 – 820}} |
|||
| [[6143 (tal)|6143]] |
|||
| [[6151 (tal)|6151]] |
|||
| [[6163 (tal)|6163]] |
|||
| [[6173 (tal)|6173]] |
|||
| [[6197 (tal)|6197]] |
|||
| [[6199 (tal)|6199]] |
|||
| [[6203 (tal)|6203]] |
|||
| [[6211 (tal)|6211]] |
|||
| [[6217 (tal)|6217]] |
|||
| [[6221 (tal)|6221]] |
|||
| [[6229 (tal)|6229]] |
|||
| [[6247 (tal)|6247]] |
|||
| [[6257 (tal)|6257]] |
|||
| [[6263 (tal)|6263]] |
|||
| [[6269 (tal)|6269]] |
|||
| [[6271 (tal)|6271]] |
|||
| [[6277 (tal)|6277]] |
|||
| [[6287 (tal)|6287]] |
|||
| [[6299 (tal)|6299]] |
|||
| [[6301 (tal)|6301]] |
|||
|- |
|||
! {{Nowrap|821 – 840}} |
|||
| [[6311 (tal)|6311]] |
|||
| [[6317 (tal)|6317]] |
|||
| [[6323 (tal)|6323]] |
|||
| [[6329 (tal)|6329]] |
|||
| [[6337 (tal)|6337]] |
|||
| [[6343 (tal)|6343]] |
|||
| [[6353 (tal)|6353]] |
|||
| [[6359 (tal)|6359]] |
|||
| [[6361 (tal)|6361]] |
|||
| [[6367 (tal)|6367]] |
|||
| [[6373 (tal)|6373]] |
|||
| [[6379 (tal)|6379]] |
|||
| [[6389 (tal)|6389]] |
|||
| [[6397 (tal)|6397]] |
|||
| [[6421 (tal)|6421]] |
|||
| [[6427 (tal)|6427]] |
|||
| [[6449 (tal)|6449]] |
|||
| [[6451 (tal)|6451]] |
|||
| [[6469 (tal)|6469]] |
|||
| [[6473 (tal)|6473]] |
|||
|- |
|||
! {{Nowrap|841 – 860}} |
|||
| [[6481 (tal)|6481]] |
|||
| [[6491 (tal)|6491]] |
|||
| [[6521 (tal)|6521]] |
|||
| [[6529 (tal)|6529]] |
|||
| [[6547 (tal)|6547]] |
|||
| [[6551 (tal)|6551]] |
|||
| [[6553 (tal)|6553]] |
|||
| [[6563 (tal)|6563]] |
|||
| [[6569 (tal)|6569]] |
|||
| [[6571 (tal)|6571]] |
|||
| [[6577 (tal)|6577]] |
|||
| [[6581 (tal)|6581]] |
|||
| [[6599 (tal)|6599]] |
|||
| [[6607 (tal)|6607]] |
|||
| [[6619 (tal)|6619]] |
|||
| [[6637 (tal)|6637]] |
|||
| [[6653 (tal)|6653]] |
|||
| [[6659 (tal)|6659]] |
|||
| [[6661 (tal)|6661]] |
|||
| [[6673 (tal)|6673]] |
|||
|- |
|||
! {{Nowrap|861 – 880}} |
|||
| [[6679 (tal)|6679]] |
|||
| [[6689 (tal)|6689]] |
|||
| [[6691 (tal)|6691]] |
|||
| [[6701 (tal)|6701]] |
|||
| [[6703 (tal)|6703]] |
|||
| [[6709 (tal)|6709]] |
|||
| [[6719 (tal)|6719]] |
|||
| [[6733 (tal)|6733]] |
|||
| [[6737 (tal)|6737]] |
|||
| [[6761 (tal)|6761]] |
|||
| [[6763 (tal)|6763]] |
|||
| [[6779 (tal)|6779]] |
|||
| [[6781 (tal)|6781]] |
|||
| [[6791 (tal)|6791]] |
|||
| [[6793 (tal)|6793]] |
|||
| [[6803 (tal)|6803]] |
|||
| [[6823 (tal)|6823]] |
|||
| [[6827 (tal)|6827]] |
|||
| [[6829 (tal)|6829]] |
|||
| [[6833 (tal)|6833]] |
|||
|- |
|||
! {{Nowrap|881 – 900}} |
|||
| [[6841 (tal)|6841]] |
|||
| [[6857 (tal)|6857]] |
|||
| [[6863 (tal)|6863]] |
|||
| [[6869 (tal)|6869]] |
|||
| [[6871 (tal)|6871]] |
|||
| [[6883 (tal)|6883]] |
|||
| [[6899 (tal)|6899]] |
|||
| [[6907 (tal)|6907]] |
|||
| [[6911 (tal)|6911]] |
|||
| [[6917 (tal)|6917]] |
|||
| [[6947 (tal)|6947]] |
|||
| [[6949 (tal)|6949]] |
|||
| [[6959 (tal)|6959]] |
|||
| [[6961 (tal)|6961]] |
|||
| [[6967 (tal)|6967]] |
|||
| [[6971 (tal)|6971]] |
|||
| [[6977 (tal)|6977]] |
|||
| [[6983 (tal)|6983]] |
|||
| [[6991 (tal)|6991]] |
|||
| [[6997 (tal)|6997]] |
|||
|- |
|||
! {{Nowrap|901 – 920}} |
|||
| [[7001 (tal)|7001]] |
|||
| [[7013 (tal)|7013]] |
|||
| [[7019 (tal)|7019]] |
|||
| [[7027 (tal)|7027]] |
|||
| [[7039 (tal)|7039]] |
|||
| [[7043 (tal)|7043]] |
|||
| [[7057 (tal)|7057]] |
|||
| [[7069 (tal)|7069]] |
|||
| [[7079 (tal)|7079]] |
|||
| [[7103 (tal)|7103]] |
|||
| [[7109 (tal)|7109]] |
|||
| [[7121 (tal)|7121]] |
|||
| [[7127 (tal)|7127]] |
|||
| [[7129 (tal)|7129]] |
|||
| [[7151 (tal)|7151]] |
|||
| [[7159 (tal)|7159]] |
|||
| [[7177 (tal)|7177]] |
|||
| [[7187 (tal)|7187]] |
|||
| [[7193 (tal)|7193]] |
|||
| [[7207 (tal)|7207]] |
|||
|- |
|||
! {{Nowrap|921 – 940}} |
|||
| [[7211 (tal)|7211]] |
|||
| [[7213 (tal)|7213]] |
|||
| [[7219 (tal)|7219]] |
|||
| [[7229 (tal)|7229]] |
|||
| [[7237 (tal)|7237]] |
|||
| [[7243 (tal)|7243]] |
|||
| [[7247 (tal)|7247]] |
|||
| [[7253 (tal)|7253]] |
|||
| [[7283 (tal)|7283]] |
|||
| [[7297 (tal)|7297]] |
|||
| [[7307 (tal)|7307]] |
|||
| [[7309 (tal)|7309]] |
|||
| [[7321 (tal)|7321]] |
|||
| [[7331 (tal)|7331]] |
|||
| [[7333 (tal)|7333]] |
|||
| [[7349 (tal)|7349]] |
|||
| [[7351 (tal)|7351]] |
|||
| [[7369 (tal)|7369]] |
|||
| [[7393 (tal)|7393]] |
|||
| [[7411 (tal)|7411]] |
|||
|- |
|||
! {{Nowrap|941 – 960}} |
|||
| [[7417 (tal)|7417]] |
|||
| [[7433 (tal)|7433]] |
|||
| [[7451 (tal)|7451]] |
|||
| [[7557 (tal)|7457]] |
|||
| [[7459 (tal)|7459]] |
|||
| [[7477 (tal)|7477]] |
|||
| [[7481 (tal)|7481]] |
|||
| [[7487 (tal)|7487]] |
|||
| [[7489 (tal)|7489]] |
|||
| [[7499 (tal)|7499]] |
|||
| [[7507 (tal)|7507]] |
|||
| [[7517 (tal)|7517]] |
|||
| [[7523 (tal)|7523]] |
|||
| [[7529 (tal)|7529]] |
|||
| [[7537 (tal)|7537]] |
|||
| [[7541 (tal)|7541]] |
|||
| [[7547 (tal)|7547]] |
|||
| [[7549 (tal)|7549]] |
|||
| [[7559 (tal)|7559]] |
|||
| [[7561 (tal)|7561]] |
|||
|- |
|||
! {{Nowrap|961 – 980}} |
|||
| [[7573 (tal)|7573]] |
|||
| [[7577 (tal)|7577]] |
|||
| [[7583 (tal)|7583]] |
|||
| [[7589 (tal)|7589]] |
|||
| [[7591 (tal)|7591]] |
|||
| [[7603 (tal)|7603]] |
|||
| [[7607 (tal)|7607]] |
|||
| [[7621 (tal)|7621]] |
|||
| [[7639 (tal)|7639]] |
|||
| [[7643 (tal)|7643]] |
|||
| [[7649 (tal)|7649]] |
|||
| [[7669 (tal)|7669]] |
|||
| [[7673 (tal)|7673]] |
|||
| [[7681 (tal)|7681]] |
|||
| [[7687 (tal)|7687]] |
|||
| [[7691 (tal)|7691]] |
|||
| [[7699 (tal)|7699]] |
|||
| [[7703 (tal)|7703]] |
|||
| [[7717 (tal)|7717]] |
|||
| [[7723 (tal)|7723]] |
|||
|- |
|||
! {{Nowrap|981 – 1 000}} |
|||
| [[7727 (tal)|7727]] |
|||
| [[7741 (tal)|7741]] |
|||
| [[7753 (tal)|7753]] |
|||
| [[7757 (tal)|7757]] |
|||
| [[7759 (tal)|7759]] |
|||
| [[7789 (tal)|7789]] |
|||
| [[7793 (tal)|7793]] |
|||
| [[7817 (tal)|7817]] |
|||
| [[7823 (tal)|7823]] |
|||
| [[7829 (tal)|7829]] |
|||
| [[7841 (tal)|7841]] |
|||
| [[7853 (tal)|7853]] |
|||
| [[7867 (tal)|7867]] |
|||
| [[7873 (tal)|7873]] |
|||
| [[7877 (tal)|7877]] |
|||
| [[7879 (tal)|7879]] |
|||
| [[7883 (tal)|7883]] |
|||
| [[7901 (tal)|7901]] |
|||
| [[7907 (tal)|7907]] |
|||
| [[7919 (tal)|7919]] |
|||
|} |
|} |
||
Verifieringsprojektet av [[Goldbachs hypotes]] rapporterar att de har beräknat alla primtal under 4 × 10<sup>18</sup>,<ref>{{Webbref|titel=Goldbach conjecture verification|url=http://sweet.ua.pt/tos/goldbach.html|hämtdatum=14 augusti 2020|datum=30 december 2015|utgivare=[[Universitetet i Aveiro]]|efternamn=Oliveira e Silva|förnamn=Tomás|verk=Goldbach conjecture verification|språk=engelska|arkivurl=https://archive.vn/l6AuN|arkivdatum=14 augusti 2020|författarlänk=Tomás Oliveira e Silva}}</ref> det vill säga {{Nowrap|95 676 260 903 887 607}} stycken. Dessa har dock inte lagrats i någon databas. Med [[primtalsfunktionen]] kan antalet primtal under ett visst värde uppskattas snabbare än vad det gör att faktiskt beräkna de med en dator. Den har används för att beräkna att det finns {{Nowrap|1 925 320 391 606 803 968 923}} primtal under 10<sup>23</sup>. En annan beräkning fann att det finns {{Nowrap|18 435 599 767 349 200 867 866}} primtal under 10<sup>24</sup>, om [[Riemannhypotesen]] stämmer.<ref>{{Webbref|url=https://primes.utm.edu/notes/pi(10to24).html|titel=Conditional Calculation of π(10²⁴)|hämtdatum=14 augusti 2020|datum=|utgivare=PrimePages|språk=engelska|arkivurl=https://archive.vn/xcUwa|arkivdatum=14 augusti 2020|efternamn=Caldwell|förnamn=Chris|författarlänk=Chris K. Caldwell}}</ref> |
|||
{{OEIS|A000040}}. |
|||
== Listor över primtalsklasser == |
|||
Nedan listas några klasser av primtal. Se i respektive artikel för mer information om varje klass. I varje form av primtal är <math display="inline">n\in \N_0</math> i definitionen. |
|||
=== Balanserat primtal === |
|||
{{Huvudartikel|Balanserat primtal}} |
|||
Balanserade primtal är ett primtal på formen <math display="inline">p_n = {{p_{n - 1} + p_{n + 1}} \over 2}</math>, alltså att det [[Aritmetiskt medelvärde|aritmetiska medelvärdet]] av de närmaste primtalen före och efter, är lika med varandra. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över de balanserande primtalen {{Ej fet|{{OEIS|A006562}}}} |
|||
|- |
|||
! {{Nowrap|1 – 20}} |
|||
| [[5 (tal)|5]] |
|||
| [[53 (tal)|53]] |
|||
| [[157 (tal)|157]] |
|||
| [[173 (tal)|173]] |
|||
| [[211 (tal)|211]] |
|||
| [[257 (tal)|257]] |
|||
| [[263 (tal)|263]] |
|||
| [[373 (tal)|373]] |
|||
| [[563 (tal)|563]] |
|||
| [[593 (tal)|593]] |
|||
| [[607 (tal)|607]] |
|||
| [[653 (tal)|653]] |
|||
| [[733 (tal)|733]] |
|||
| [[947 (tal)|947]] |
|||
| [[977 (tal)|977]] |
|||
| [[1103 (tal)|1103]] |
|||
| [[1123 (tal)|1123]] |
|||
| [[1187 (tal)|1187]] |
|||
| [[1223 (tal)|1223]] |
|||
| [[1367 (tal)|1367]] |
|||
|- |
|||
! {{Nowrap|21 – 40}} |
|||
| [[1511 (tal)|1511]] |
|||
| [[1747 (tal)|1747]] |
|||
| [[1753 (tal)|1753]] |
|||
| [[1907 (tal)|1907]] |
|||
| [[2287 (tal)|2287]] |
|||
| [[2417 (tal)|2417]] |
|||
| [[2677 (tal)|2677]] |
|||
| [[2903 (tal)|2903]] |
|||
| [[2963 (tal)|2963]] |
|||
| [[3307 (tal)|3307]] |
|||
| [[3313 (tal)|3313]] |
|||
| [[3637 (tal)|3637]] |
|||
| [[3733 (tal)|3733]] |
|||
| [[4013 (tal)|4013]] |
|||
| [[4409 (tal)|4409]] |
|||
| [[4457 (tal)|4457]] |
|||
| [[4597 (tal)|4597]] |
|||
| [[4657 (tal)|4657]] |
|||
| [[4691 (tal)|4691]] |
|||
| [[4993 (tal)|4993]] |
|||
|} |
|||
=== Carolprimtal === |
|||
{{Huvudartikel|Carolprimtal}} |
|||
Ett carolprimtal är ett [[caroltal]] som även är ett primtal och är på formen <math display="inline">p_n=(2^n - 1)^2 - 2</math>. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över carolprimtalen {{Ej fet|{{OEIS|A091516}}}} |
|||
|- |
|||
! {{Nowrap|1 – 14}} |
|||
| [[7 (tal)|7]] |
|||
| [[47 (tal)|47]] |
|||
| [[223 (tal)|223]] |
|||
| [[3967 (tal)|3967]] |
|||
| [[16127 (tal)|16127]] |
|||
| [[1046527 (tal)|1046527]] |
|||
| [[16769023 (tal)|16769023]] |
|||
| [[1073676287 (tal)|1073676287]] |
|||
| [[68718952447 (tal)|68718952447]] |
|||
| [[274876858367 (tal)|274876858367]] |
|||
| [[4398042316799 (tal)|4398042316799]] |
|||
| [[1125899839733759 (tal)|1125899839733759]] |
|||
| [[18014398241046527 (tal)|18014398241046527]] |
|||
| [[1298074214633706835075030044377087 (tal)|1298074214633706835075030044377087]] |
|||
|} |
|||
=== Chenprimtal === |
|||
{{Huvudartikel|Chenprimtal}} |
|||
Chenprimtal är ett primtal <math display="inline">p</math> där <math display="inline">p + 2</math> är antigen ett primtal eller ett [[semiprimtal]]. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över chenprimtalen {{Ej fet|{{OEIS|A068652}}}} |
|||
|- |
|||
! {{Nowrap|1 – 20}} |
|||
| [[2 (tal)|2]] |
|||
| [[3 (tal)|3]] |
|||
| [[5 (tal)|5]] |
|||
| [[7 (tal)|7]] |
|||
| [[11 (tal)|11]] |
|||
| [[13 (tal)|13]] |
|||
| [[17 (tal)|17]] |
|||
| [[19 (tal)|19]] |
|||
| [[23 (tal)|23]] |
|||
| [[29 (tal)|29]] |
|||
| [[31 (tal)|31]] |
|||
| [[37 (tal)|37]] |
|||
| [[41 (tal)|41]] |
|||
| [[47 (tal)|47]] |
|||
| [[53 (tal)|53]] |
|||
| [[59 (tal)|59]] |
|||
| [[67 (tal)|67]] |
|||
| [[71 (tal)|71]] |
|||
| [[83 (tal)|89]] |
|||
| [[101 (tal)|101]] |
|||
|- |
|||
! {{Nowrap|21 – 40}} |
|||
| [[107 (tal)|107]] |
|||
| [[109 (tal)|109]] |
|||
| [[113 (tal)|113]] |
|||
| [[127 (tal)|127]] |
|||
| [[131 (tal)|131]] |
|||
| [[137 (tal)|137]] |
|||
| [[139 (tal)|139]] |
|||
| [[149 (tal)|149]] |
|||
| [[157 (tal)|157]] |
|||
| [[167 (tal)|167]] |
|||
| [[179 (tal)|179]] |
|||
| [[181 (tal)|181]] |
|||
| [[191 (tal)|191]] |
|||
| [[197 (tal)|197]] |
|||
| [[199 (tal)|199]] |
|||
| [[211 (tal)|211]] |
|||
| [[227 (tal)|227]] |
|||
| [[233 (tal)|233]] |
|||
| [[239 (tal)|239]] |
|||
| [[251 (tal)|251]] |
|||
|- |
|||
! {{Nowrap|41 – 57}} |
|||
| [[257 (tal)|257]] |
|||
| [[263 (tal)|263]] |
|||
| [[269 (tal)|269]] |
|||
| [[281 (tal)|281]] |
|||
| [[293 (tal)|293]] |
|||
| [[307 (tal)|307]] |
|||
| [[311 (tal)|311]] |
|||
| [[317 (tal)|317]] |
|||
| [[337 (tal)|337]] |
|||
| [[347 (tal)|347]] |
|||
| [[353 (tal)|353]] |
|||
| [[359 (tal)|359]] |
|||
| [[379 (tal)|379]] |
|||
| [[389 (tal)|389]] |
|||
| [[401 (tal)|401]] |
|||
| [[409 (tal)|409]] |
|||
| <!-- FYLL GÄRNA I DE SAKNADE PRIMTALEN --> |
|||
| <!-- FYLL GÄRNA I DE SAKNADE PRIMTALEN --> |
|||
| <!-- FYLL GÄRNA I DE SAKNADE PRIMTALEN --> |
|||
| <!-- FYLL GÄRNA I DE SAKNADE PRIMTALEN --> |
|||
|} |
|||
=== Fermatprimtal === |
|||
{{Huvudartikel|Fermatprimtal}} |
|||
Ett fermatprimtal är ett [[fermattal]] som även är ett primtal på formen <math display="inline">F_{n} = 2^{2^n} + 1</math>. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över fermatprimtalen {{Ej fet|{{OEIS|A019434}}}} |
|||
|- |
|||
! {{Nowrap|1 – 5}} |
|||
| [[3 (tal)|3]] |
|||
| [[5 (tal)|5]] |
|||
| [[17 (tal)|17]] |
|||
| [[257 (tal)|257]] |
|||
| [[65537 (tal)|65537]] |
|||
|} |
|||
I tabellen ovan anges dem enda kända fermatprimtalen. Sannolikheten för att det finns fler fermatprimtal är mindre än en av en miljard.<ref>{{Tidskriftsref|rubrik=Expect at Most One Billionth of a New Fermat Prime!|efternamn=Boklan|författarlänk2=John Horton Conway|utgivningsort=New York|oclc=6925778794|id=[[arXiv]]:[https://arxiv.org/abs/1605.01371 1605.01371]|utgivare=[[Springer Journals]]|datum=11 januari 2017|efternamn2=Conway|förnamn2=John|förnamn=Kent|url=https://arxiv.org/pdf/1605.01371.pdf|språk=engelska|doi=10.1007/s00283-016-9644-3|nummer=1|volym=39|sid=3–5|issn=0343-6993|hämtdatum=15 augusti 2020|tidskrift=[[The Mathematical Intelligencer]]|författarlänk=Kent Boklan}}</ref> |
|||
=== Mersenneprimtal === |
|||
{{Huvudartikel|Mersenneprimtal}} |
|||
Ett mersenneprimtal är ett [[mersennetal]] som även är ett primtal på formen <math display="inline">p_{n} = {2^n} - 1</math>. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över mersenneprimtalen {{Ej fet|{{OEIS|A000668}}}} |
|||
|- |
|||
! {{Nowrap|1 – 12}} |
|||
| [[3 (tal)|3]] |
|||
| [[7 (tal)|7]] |
|||
| [[31 (tal)|31]] |
|||
| [[127 (tal)|127]] |
|||
| [[8191 (tal)|8191]] |
|||
| [[131071 (tal)|131071]] |
|||
| [[524287 (tal)|524287]] |
|||
| [[2147483647 (tal)|2147483647]] |
|||
| [[2305843009213693951 (tal)|2305843009213693951]] |
|||
| [[618970019642690137449562111 (tal)|618970019642690137449562111]] |
|||
| [[162259276829213363391578010288127 (tal)|162259276829213363391578010288127]] |
|||
| [[170141183460469231731687303715884105727 (tal)|170141183460469231731687303715884105727]] |
|||
|} |
|||
Det finns endast 51 stycken kända mersenneprimtal. Det [[Stora primtal|största kända primtalet]] är ett primtal av denna form och innehåller {{Nowrap|24 862 048}} siffror.<ref>{{Webbref|titel=51st Known Mersenne Prime Discovered|url=https://www.mersenne.org/primes/press/M82589933.html|hämtdatum=15 augusti 2020|datum=21 december 2018|utgivare=Mersenne Research|språk=engelska|arkivurl=https://archive.vn/fGEx8|arkivdatum=15 augusti 2020|verk=[[GIMPS]]}}</ref> |
|||
=== Mills primtal === |
|||
{{Huvudartikel|Mills primtal}} |
|||
Mills primtal är ett primtal på formen <math display="inline">\lfloor \theta^{3^{n}} \rfloor</math> där <math display="inline">\theta</math> är [[Mills konstant]]. Det gäller för alla positiva [[heltal]] <math display="inline">n</math>. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över Mills primtal {{Ej fet|{{OEIS|A051254}}}} |
|||
|- |
|||
! {{Nowrap|1 – 5}} |
|||
| [[2 (tal)|2]] |
|||
| [[11 (tal)|11]] |
|||
| [[1361 (tal)|1361]] |
|||
| [[2521008887 (tal)|2521008887]] |
|||
| [[16022236204009818131831320183 (tal)|16022236204009818131831320183]] |
|||
|} |
|||
=== Palindromprimtal === |
|||
{{Huvudartikel|Palindromprimtal}} |
|||
Palindromprimtal är ett [[palindromtal]] som även är ett primtal. |
|||
{| class="wikitable mw-collapsible mw-collapsed" style="text-align: center; width: 100%;" |
|||
! colspan="21" | Tabell över palindromprimtalen {{Ej fet|{{OEIS|A002385}}}} |
|||
|- |
|||
! {{Nowrap|1 – 20}} |
|||
| [[2 (tal)|2]] |
|||
| [[3 (tal)|3]] |
|||
| [[5 (tal)|5]] |
|||
| [[7 (tal)|7]] |
|||
| [[11 (tal)|11]] |
|||
| [[101 (tal)|101]] |
|||
| [[131 (tal)|131]] |
|||
| [[151 (tal)|151]] |
|||
| [[181 (tal)|181]] |
|||
| [[191 (tal)|191]] |
|||
| [[313 (tal)|313]] |
|||
| [[353 (tal)|353]] |
|||
| [[373 (tal)|373]] |
|||
| [[383 (tal)|383]] |
|||
| [[727 (tal)|727]] |
|||
| [[757 (tal)|757]] |
|||
| [[787 (tal)|787]] |
|||
| [[797 (tal)|797]] |
|||
| [[919 (tal)|919]] |
|||
| [[929 (tal)|929]] |
|||
|- |
|||
! {{Nowrap|21 – 40}} |
|||
| [[10301 (tal)|10301]] |
|||
| [[10501 (tal)|10501]] |
|||
| [[10601 (tal)|10601]] |
|||
| [[11311 (tal)|11311]] |
|||
| [[11411 (tal)|11411]] |
|||
| [[12421 (tal)|12421]] |
|||
| [[12721 (tal)|12721]] |
|||
| [[12821 (tal)|12821]] |
|||
| [[13331 (tal)|13331]] |
|||
| [[13831 (tal)|13831]] |
|||
| [[13931 (tal)|13931]] |
|||
| [[14341 (tal)|14341]] |
|||
| [[14741 (tal)|14741]] |
|||
| [[15451 (tal)|15451]] |
|||
| [[15551 (tal)|15551]] |
|||
| [[16061 (tal)|16061]] |
|||
| [[16361 (tal)|16361]] |
|||
| [[16561 (tal)|16561]] |
|||
| [[16661 (tal)|16661]] |
|||
| [[17471 (tal)|17471]] |
|||
|} |
|||
== Se även == |
|||
{{Portal|Matematik}} |
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* [[Stora primtal]] |
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* [[Lista över tal]] |
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* [[Primtalssatsen]] |
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* [[Pseudoprimtal]] |
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== Referenser == |
== Referenser == |
||
* {{Enwp|url=//en.wikipedia.org/w/index.php?title=List_of_prime_numbers&oldid=599048532|artikel=List of prime numbers|datum=17 mars 2014}} |
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=== Anmärkningar === |
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{{Anmärkningslista}} |
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=== Källor === |
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<references/> |
|||
== Externa länkar == |
|||
* [https://primes.utm.edu/lists/ Listor över primtal] på PrimePages |
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* [http://www.prime-numbers.org/ Full lista över primtalen] under {{Nowrap|10 000 000 000}} på Prime-Numbers.org |
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* [https://mathworld.wolfram.com/topics/PrimeNumberSequences.html Primtalsföljder] på [[MathWorld]] av [[Eric W. Weisstein]] |
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* [http://oeis.org/wiki/Index_to_OEIS:_Section_Pri Utvalda primtalsföjder] på [[OEIS]] |
|||
* [https://www.youtube.com/playlist?list=PL0D0BD149128BB06F Spellista om primtal] på [[YouTube]] av [[Numberphile]] |
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{{Primtal}} |
{{Primtal}} |
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[[Kategori:Primtal]] |
[[Kategori:Primtal]] |
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[[Kategori:Primtalsklasser|Primtal]] |
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[[Kategori:Listor med anknytning till matematik|Primtal]] |
[[Kategori:Listor med anknytning till matematik|Primtal]] |
Versionen från 15 augusti 2020 kl. 20.50
- Den här listan är ofullständig, du kan hjälpa till genom att utöka den.
Detta är en lista över primtal som ordnas ordinalt men även efter olika klasser av primtal. Ett primtal är ett naturligt tal, som är större än 1 och som inte har några andra positiva delare än 1 och sig självt.[1] Enligt Euklides sats finns det oändligt många primtal.[2] De första 1 000 primtalen visas i den första tabellen, följt av listor med anmärkningsvärda typer av primtal i alfabetisk ordning. Notera att 1 varken är ett primtal eller ett sammansatt tal.[a]
De 1 000 första primtalen
Ett primtal är ett naturligt tal som är större än 1 och som inte är en produkt av två andra mindre naturliga tal.[4]
Verifieringsprojektet av Goldbachs hypotes rapporterar att de har beräknat alla primtal under 4 × 1018,[5] det vill säga 95 676 260 903 887 607 stycken. Dessa har dock inte lagrats i någon databas. Med primtalsfunktionen kan antalet primtal under ett visst värde uppskattas snabbare än vad det gör att faktiskt beräkna de med en dator. Den har används för att beräkna att det finns 1 925 320 391 606 803 968 923 primtal under 1023. En annan beräkning fann att det finns 18 435 599 767 349 200 867 866 primtal under 1024, om Riemannhypotesen stämmer.[6]
Listor över primtalsklasser
Nedan listas några klasser av primtal. Se i respektive artikel för mer information om varje klass. I varje form av primtal är i definitionen.
Balanserat primtal
Balanserade primtal är ett primtal på formen , alltså att det aritmetiska medelvärdet av de närmaste primtalen före och efter, är lika med varandra.
Tabell över de balanserande primtalen (talföljd A006562 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 20 | 5 | 53 | 157 | 173 | 211 | 257 | 263 | 373 | 563 | 593 | 607 | 653 | 733 | 947 | 977 | 1103 | 1123 | 1187 | 1223 | 1367 |
21 – 40 | 1511 | 1747 | 1753 | 1907 | 2287 | 2417 | 2677 | 2903 | 2963 | 3307 | 3313 | 3637 | 3733 | 4013 | 4409 | 4457 | 4597 | 4657 | 4691 | 4993 |
Carolprimtal
Ett carolprimtal är ett caroltal som även är ett primtal och är på formen .
Tabell över carolprimtalen (talföljd A091516 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 14 | 7 | 47 | 223 | 3967 | 16127 | 1046527 | 16769023 | 1073676287 | 68718952447 | 274876858367 | 4398042316799 | 1125899839733759 | 18014398241046527 | 1298074214633706835075030044377087 |
Chenprimtal
Chenprimtal är ett primtal där är antigen ett primtal eller ett semiprimtal.
Tabell över chenprimtalen (talföljd A068652 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 20 | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | 37 | 41 | 47 | 53 | 59 | 67 | 71 | 89 | 101 |
21 – 40 | 107 | 109 | 113 | 127 | 131 | 137 | 139 | 149 | 157 | 167 | 179 | 181 | 191 | 197 | 199 | 211 | 227 | 233 | 239 | 251 |
41 – 57 | 257 | 263 | 269 | 281 | 293 | 307 | 311 | 317 | 337 | 347 | 353 | 359 | 379 | 389 | 401 | 409 |
Fermatprimtal
Ett fermatprimtal är ett fermattal som även är ett primtal på formen .
Tabell över fermatprimtalen (talföljd A019434 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 5 | 3 | 5 | 17 | 257 | 65537 |
I tabellen ovan anges dem enda kända fermatprimtalen. Sannolikheten för att det finns fler fermatprimtal är mindre än en av en miljard.[7]
Mersenneprimtal
Ett mersenneprimtal är ett mersennetal som även är ett primtal på formen .
Tabell över mersenneprimtalen (talföljd A000668 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 12 | 3 | 7 | 31 | 127 | 8191 | 131071 | 524287 | 2147483647 | 2305843009213693951 | 618970019642690137449562111 | 162259276829213363391578010288127 | 170141183460469231731687303715884105727 |
Det finns endast 51 stycken kända mersenneprimtal. Det största kända primtalet är ett primtal av denna form och innehåller 24 862 048 siffror.[8]
Mills primtal
Mills primtal är ett primtal på formen där är Mills konstant. Det gäller för alla positiva heltal .
Tabell över Mills primtal (talföljd A051254 i OEIS) | ||||||||||||||||||||
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1 – 5 | 2 | 11 | 1361 | 2521008887 | 16022236204009818131831320183 |
Palindromprimtal
Palindromprimtal är ett palindromtal som även är ett primtal.
Tabell över palindromprimtalen (talföljd A002385 i OEIS) | ||||||||||||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1 – 20 | 2 | 3 | 5 | 7 | 11 | 101 | 131 | 151 | 181 | 191 | 313 | 353 | 373 | 383 | 727 | 757 | 787 | 797 | 919 | 929 |
21 – 40 | 10301 | 10501 | 10601 | 11311 | 11411 | 12421 | 12721 | 12821 | 13331 | 13831 | 13931 | 14341 | 14741 | 15451 | 15551 | 16061 | 16361 | 16561 | 16661 | 17471 |
Se även
Referenser
Anmärkningar
- ^ 1 är varken ett primtal eller ett sammansatt tal enligt konvention, utan kategoriseras som en enhet. Vid första anblick verkar 1 uppfylla den naiva definitionen av ett primtal; delar jämt med 1 och sig självt (som är 1). Matematiker har så sent som i mitten av 1900-talet ansett 1 som ett primtal, men har sedan dess uteslutits det som primtal av olika skäl (ger komplikationer för aritmetikens fundamentalsats exempelvis).[3]
Källor
- ^ Gardiner, Tony (1997) (på engelska). The Mathematical Olympiad Handbook: An Introduction to Problem Solving Based on the First 32 British Mathematical Olympiads 1965–1996. New York: Oxford University Press. sid. 26. Libris 4628496. ISBN 0-19-850105-6. OCLC 37024771. https://archive.org/details/mathematicalolym1997gard/page/26. Läst 13 augusti 2020
- ^ Ore, Øystein (1988) [1948] (på engelska). Number Theory and Its History. (2). New York: Dover Publications. sid. 65. Libris 4993438. ISBN 0-486-65620-9. OCLC 868561429. https://books.google.se/books?id=Sl_6BPp7S0AC&printsec=frontcover&hl=sv&source=gbs_ge_summary_r&cad=0#v=onepage&q&f=false. Läst 13 augusti 2020
- ^ Grime, James (3 februari 2012). ”1 and Prime Numbers” (på engelska) (videofil). Numberphile. YouTube. Arkiverad från originalet den 7 augusti 2017. https://archive.vn/LANPn. Läst 13 augusti 2020.
- ^ Lehmer, Derrick Norman (1956) (på engelska). List of prime numbers from 1 to 10,006,721.. New York: Hafner. OL 6203229M. Libris 2768728. OCLC 859805174. http://worldcat.org/oclc/859805174. Läst 13 augusti 2020
- ^ Oliveira e Silva, Tomás (30 december 2015). ”Goldbach conjecture verification” (på engelska). Goldbach conjecture verification. Universitetet i Aveiro. Arkiverad från originalet den 14 augusti 2020. https://archive.vn/l6AuN. Läst 14 augusti 2020.
- ^ Caldwell, Chris. ”Conditional Calculation of π(10²⁴)” (på engelska). PrimePages. Arkiverad från originalet den 14 augusti 2020. https://archive.vn/xcUwa. Läst 14 augusti 2020.
- ^ Boklan, Kent; Conway, John (11 januari 2017). ”Expect at Most One Billionth of a New Fermat Prime!” (på engelska). The Mathematical Intelligencer (New York: Springer Journals) 39 (1): sid. 3–5. doi: . arXiv:1605.01371. ISSN 0343-6993. OCLC 6925778794. https://arxiv.org/pdf/1605.01371.pdf. Läst 15 augusti 2020.
- ^ ”51st Known Mersenne Prime Discovered” (på engelska). GIMPS. Mersenne Research. 21 december 2018. Arkiverad från originalet den 15 augusti 2020. https://archive.vn/fGEx8. Läst 15 augusti 2020.
Externa länkar
- Listor över primtal på PrimePages
- Full lista över primtalen under 10 000 000 000 på Prime-Numbers.org
- Primtalsföljder på MathWorld av Eric W. Weisstein
- Utvalda primtalsföjder på OEIS
- Spellista om primtal på YouTube av Numberphile
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