| Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
| 501 | 2^1750208+218371 | 526866 | Enzo Doria | 01/2024 |
| 502 | 2^1746355+58883 | 525706 | Enzo Doria | 08/2026 |
| 503 | 2^1743981+28997 | 524991 | Enzo Doria | 03/2024 |
| 504 | 2^1740587+40493 | 523969 | Enzo Doria | 02/2025 |
| 505 | 2^1737680+23161 | 523094 | Enzo Doria | 01/2024 |
| 506 | (73^280697+1)/74 | 523028 | Paul Bourdelais | 02/2022 |
| 507 | 2^1737207+218153 | 522952 | Enzo Doria | 05/2024 |
| 508 | 2^1736042+54859 | 522601 | Enzo Doria | 05/2026 |
| 509 | 2^1735354+227509 | 522394 | Enzo Doria | 11/2024 |
| 510 | 2^1734898+225529 | 522257 | Enzo Doria | 09/2024 |
| 511 | 2^1733867+231383 | 521946 | Enzo Doria | 03/2025 |
| 512 | (21^394579+1)/22 | 521719 | Paul Bourdelais | 10/2018 |
| 513 | 2^1732919+43553 | 521661 | Enzo Doria | 04/2025 |
| 514 | 2^1732565+226757 | 521555 | Enzo Doria | 12/2024 |
| 515 | 2^1732383+49343 | 521500 | Enzo Doria | 11/2025 |
| 516 | 2^1732284+53791 | 521470 | Enzo Doria | 12/2025 |
| 517 | 2^1732063+55463 | 521403 | Enzo Doria | 04/2026 |
| 518 | 2^1730246+384439 | 520856 | Enzo Doria | 09/2017 |
| 519 | 2^1729303+34313 | 520573 | Enzo Doria | 11/2024 |
| 520 | (55^299087+1)/56 | 520519 | Paul Bourdelais | 02/2022 |
| 521 | 2^1728446+41629 | 520315 | Enzo Doria | 02/2025 |
| 522 | 5^744171-3^744171-1 | 520154 | Jon Grantham | 08/2023 |
| 523 | 2^1727856+31951 | 520137 | Enzo Doria | 04/2024 |
| 524 | (18^414269-1)/17 | 520020 | Paul Bourdelais | 12/2014 |
| 525 | 2^1727029+228257 | 519888 | Enzo Doria | 12/2024 |
| 526 | 2^1726522+30859 | 519735 | Enzo Doria | 06/2024 |
| 527 | 2^1724695+228353 | 519185 | Enzo Doria | 01/2025 |
| 528 | 2^1719623+240773 | 517659 | Enzo Doria | 02/2026 |
| 529 | 2^1717949+30077 | 517155 | Enzo Doria | 08/2024 |
| 530 | 2^1717839+49313 | 517122 | Enzo Doria | 11/2025 |
| 531 | 2^1717612+31891 | 517053 | Enzo Doria | 04/2024 |
| 532 | (144171^100489-1)/(144171^317-1) | 516776 | Ryan Propper | 11/2023 |
| 533 | 2^1714462+217465 | 516105 | Enzo Doria | 01/2024 |
| 534 | 2^1714021+29777 | 515972 | Enzo Doria | 03/2024 |
| 535 | 2^1713855+220703 | 515922 | Enzo Doria | 03/2024 |
| 536 | 2^1712979+222143 | 515659 | Enzo Doria | 05/2024 |
| 537 | 20^396120-3 | 515365 | Paul Bourdelais | 01/2021 |
| 538 | 2^1709785+36557 | 514697 | Enzo Doria | 02/2025 |
| 539 | (136102^100489-1)/(136102^317-1) | 514270 | Ryan Propper | 11/2023 |
| 540 | 2^1708341+221897 | 514262 | Enzo Doria | 09/2024 |
| 541 | (7^608347-5^608347)/2 | 514113 | Jon Grantham | 08/2023 |
| 542 | (62^286483+1)/63 | 513488 | Paul Bourdelais | 02/2022 |
| 543 | 155630^1971+1971^155630 | 512753 | Henri Lifchitz | 11/2024 |
| 544 | 2^1702747+230873 | 512578 | Enzo Doria | 01/2025 |
| 545 | 2^1701757+47207 | 512280 | Enzo Doria | 06/2025 |
| 546 | 2^1701568+239851 | 512224 | Enzo Doria | 11/2025 |
| 547 | 2^1701350+48019 | 512158 | Enzo Doria | 08/2025 |
| 548 | (20^393257+1)/21 | 511638 | Paul Bourdelais | 12/2014 |
| 549 | 2^1699164+40141 | 511500 | Enzo Doria | 01/2025 |
| 550 | 2^1698083+24743 | 511174 | Enzo Doria | 11/2023 |
| 551 | 2^1696453+219257 | 510684 | Enzo Doria | 06/2024 |
| 552 | (124869^100489-1)/(124869^317-1) | 510523 | Ryan Propper | 11/2023 |
| 553 | (124292^100489-1)/(124292^317-1) | 510321 | Ryan Propper | 11/2023 |
| 554 | 2^1694005+250697 | 509947 | Enzo Doria | 10/2026 |
| 555 | 10^509546+3 | 509547 | Paul Bourdelais | 01/2021 |
| 556 | 101876^99207+99207^101876 | 509028 | Gabor Levai | 08/2023 |
| 557 | 2^1690808+237151 | 508984 | Enzo Doria | 08/2025 |
| 558 | 2^1690434+213589 | 508872 | Enzo Doria | 12/2023 |
| 559 | 2^1688450+221989 | 508275 | Enzo Doria | 07/2024 |
| 560 | 2^1688360+233581 | 508248 | Enzo Doria | 05/2025 |
| 561 | 2^1688111+217313 | 508173 | Enzo Doria | 04/2024 |
| 562 | (118270^100489-1)/(118270^317-1) | 508160 | Ryan Propper | 11/2023 |
| 563 | 2^1687922+40849 | 508116 | Enzo Doria | 01/2025 |
| 564 | 2^1687843+246893 | 508092 | Enzo Doria | 05/2026 |
| 565 | 2^1687521+230267 | 507995 | Enzo Doria | 01/2025 |
| 566 | 105196^67205+67205^105196 | 507824 | Miklos Levai | 09/2023 |
| 567 | 2^1686452+220681 | 507673 | Enzo Doria | 04/2024 |
| 568 | 2^1685708+27781 | 507449 | Enzo Doria | 01/2024 |
| 569 | 2^1685513+53597 | 507390 | Enzo Doria | 01/2026 |
| 570 | (72^273149-1)/71 | 507327 | Paul Bourdelais | 02/2022 |
| 571 | 2^1685092+227191 | 507264 | Enzo Doria | 12/2024 |
| 572 | 105154^66373+66373^105154 | 507052 | Miklos Levai | 09/2023 |
| 573 | 2^1683331+225413 | 506734 | Enzo Doria | 09/2024 |
| 574 | 107890^49423+49423^107890 | 506429 | Miklos Levai | 02/2022 |
| 575 | (14^441697-1)/13 | 506241 | Paul Bourdelais | 12/2014 |
| 576 | 2^1681560+244291 | 506200 | Enzo Doria | 04/2026 |
| 577 | 101645^94522+94522^101645 | 505739 | Gabor Levai | 02/2023 |
| 578 | 3^1059503-2^1059503 | 505512 | Mike Oakes | 04/2012 |
| 579 | 2^1678670+21529 | 505331 | Enzo Doria | 11/2023 |
| 580 | 2^1678509+56537 | 505282 | Enzo Doria | 08/2026 |
| 581 | 2^1677189+59447 | 504885 | Enzo Doria | 08/2026 |
| 582 | 101542^92885+92885^101542 | 504456 | Gabor Levai | 04/2022 |
| 583 | 2^1675306+227839 | 504318 | Enzo Doria | 12/2024 |
| 584 | 2^1674819+42683 | 504171 | Enzo Doria | 04/2025 |
| 585 | 2^1673623+42983 | 503811 | Enzo Doria | 03/2025 |
| 586 | 105273^60238+60238^105273 | 503192 | Miklos Levai | 09/2023 |
| 587 | 105098^61113+61113^105098 | 503014 | Miklos Levai | 09/2022 |
| 588 | 2^1670703+60293 | 502932 | Enzo Doria | 11/2017 |
| 589 | (2^1669219-2^834610+1)/5 | 502485 | Borys Jaworski | 01/2011 |
| 590 | 101311^90816+90816^101311 | 502317 | Gabor Levai | 12/2021 |
| 591 | 101643^87368+87368^101643 | 502254 | Gabor Levai | 11/2022 |
| 592 | (161502^96721-1)/(161502^311-1) | 502121 | Ryan Propper | 11/2023 |
| 593 | 101863^84922+84922^101863 | 502085 | Gabor Levai | 10/2022 |
| 594 | 2^1666440+212671 | 501649 | Enzo Doria | 09/2023 |
| 595 | 100291^100291+172^172 | 501582 | Serge Batalov | 04/2024 |
| 596 | 2^1666177+226697 | 501570 | Enzo Doria | 10/2024 |
| 597 | 2^1664940+53821 | 501197 | Enzo Doria | 04/2026 |
| 598 | 100207^99856+99856^100207 | 500973 | Gabor Levai | 11/2021 |
| 599 | 101839^83028+83028^101839 | 500969 | Gabor Levai | 11/2022 |
| 600 | 2^1663461+242357 | 500752 | Enzo Doria | 11/2025 |
| 601 | 100263^98600+98600^100263 | 500702 | Gabor Levai | 09/2021 |
| 602 | 2^1662045+37607 | 500326 | Enzo Doria | 11/2024 |
| 603 | 2^1661503+43553 | 500163 | Enzo Doria | 04/2025 |
| 604 | 101761^82168+82168^101761 | 500126 | Gabor Levai | 03/2022 |
| 605 | 2^1661176+336631 | 500064 | Tony Prest / Never Odd Or Even | 09/2019 |
| 606 | 8603^127088-127088^8603 | 500047 | Norbert Schneider | 06/2025 |
| 607 | 101070^88579+88579^101070 | 500027 | Gabor Levai | 01/2022 |
| 608 | (85^259159-1)/84 | 500025 | Paul Bourdelais | 11/2021 |
| 609 | 2^1660973+368139 | 500003 | Tony Prest / Never Odd Or Even | 08/2020 |
| 610 | 100000^100000+85707^85707 | 500001 | Henri Lifchitz | 01/2025 |
| 611 | 2^1660964-382425 | 500000 | Tony Prest / Never Odd Or Even | 05/2020 |
| 612 | 2^1660328+226951 | 499809 | Enzo Doria | 04/2025 |
| 613 | (87^257689-1)/86 | 499791 | Paul Bourdelais | 01/2021 |
| 614 | (64*10^499210+53)/9 | 499211 | Serge Batalov | 03/2015 |
| 615 | 2^1657814+247939 | 499052 | Enzo Doria | 07/2026 |
| 616 | 2^1656126+223227 | 498544 | Enzo Doria | 03/2025 |
| 617 | Tau(631^32370) | 498503 | Nik Lygeros / Olivier Rozier | 05/2015 |
| 618 | 2^1653321+49217 | 497700 | Enzo Doria | 09/2025 |
| 619 | 29^339887-28^339887 | 497051 | Jean-Louis Charton | 05/2019 |
| 620 | 2^1650975+185225 | 496993 | Stefano Morozzi | 09/2024 |
| 621 | 2^1650959+198513 | 496989 | Stefano Morozzi | 09/2024 |
| 622 | 2^1650942+181575 | 496984 | Stefano Morozzi | 09/2024 |
| 623 | 2^1650940+239581 | 496983 | Enzo Doria | 11/2025 |
| 624 | 2^1650905+193947 | 496972 | Stefano Morozzi | 09/2024 |
| 625 | 2^1650877+186537 | 496964 | Stefano Morozzi | 01/2025 |
| 626 | 2^1650867+192615 | 496961 | Stefano Morozzi | 09/2024 |
| 627 | 2^1650854+188973 | 496957 | Stefano Morozzi | 01/2025 |
| 628 | 2^1650837+199641 | 496952 | Stefano Morozzi | 01/2025 |
| 629 | 2^1650819+198315 | 496947 | Stefano Morozzi | 07/2024 |
| 630 | 2^1650788+185823 | 496937 | Stefano Morozzi | 09/2024 |
| 631 | 2^1650749+185235 | 496925 | Stefano Morozzi | 06/2024 |
| 632 | 2^1650695+183141 | 496909 | Stefano Morozzi | 04/2024 |
| 633 | 2^1650640+185311 | 496893 | Stefano Morozzi | 03/2024 |
| 634 | 2^1650593+187871 | 496879 | Stefano Morozzi | 03/2024 |
| 635 | 2^1650538+196863 | 496862 | Stefano Morozzi | 03/2024 |
| 636 | 2^1650484+181413 | 496846 | Stefano Morozzi | 03/2024 |
| 637 | 2^1650473+193151 | 496842 | Stefano Morozzi | 03/2024 |
| 638 | 2^1650443+193613 | 496833 | Stefano Morozzi | 01/2024 |
| 639 | 2^1650426+183543 | 496828 | Stefano Morozzi | 01/2024 |
| 640 | 2^1650388+189741 | 496817 | Stefano Morozzi | 10/2023 |
| 641 | 2^1650267+193743 | 496780 | Stefano Morozzi | 09/2023 |
| 642 | 2^1650196+191835 | 496759 | Stefano Morozzi | 07/2023 |
| 643 | 2^1650190+185733 | 496757 | Stefano Morozzi | 07/2023 |
| 644 | 2^1650141+189525 | 496742 | Stefano Morozzi | 07/2023 |
| 645 | 2^1650103+189519 | 496731 | Stefano Morozzi | 05/2023 |
| 646 | 2^1649412+58411 | 496523 | Enzo Doria | 09/2026 |
| 647 | 2^1648342+215029 | 496201 | Enzo Doria | 01/2024 |
| 648 | 2^1646078+36937 | 495519 | Enzo Doria | 10/2024 |
| 649 | 2^1645332+34951 | 495295 | Enzo Doria | 12/2024 |
| 650 | (136688^96721-1)/(136688^311-1) | 495136 | Ryan Propper | 11/2023 |
| 651 | 2^1643411+26213 | 494717 | Enzo Doria | 03/2024 |
| 652 | 2^1642987+238853 | 494589 | Enzo Doria | 09/2025 |
| 653 | 2^1642104+227491 | 494323 | Enzo Doria | 10/2024 |
| 654 | 2^1640056+216241 | 493707 | Enzo Doria | 02/2024 |
| 655 | 2^1639019+45113 | 493394 | Enzo Doria | 05/2025 |
| 656 | 2^1636027+25763 | 492494 | Enzo Doria | 01/2024 |
| 657 | 2^1636012+238741 | 492489 | Enzo Doria | 10/2025 |
| 658 | 2^1635235+227693 | 492255 | Enzo Doria | 10/2024 |
| 659 | 2^1632498+30397 | 491431 | Enzo Doria | 08/2024 |
| 660 | 2^1631030+73519 | 490989 | Enzo Doria | 08/2023 |
| 661 | 2^1629568+237541 | 490549 | Enzo Doria | 08/2025 |
| 662 | (2^1629469-1)/644908484660139264379223 | 490496 | Gord Palameta | 11/2017 |
| 663 | 2^1627834+225529 | 490027 | Enzo Doria | 08/2024 |
| 664 | 2^1626713+246077 | 489690 | Enzo Doria | 05/2026 |
| 665 | 2^1626709+30407 | 489689 | Enzo Doria | 07/2024 |
| 666 | 2^1626438+38557 | 489607 | Enzo Doria | 11/2024 |
| 667 | 2^1621040+39415 | 487982 | Enzo Doria | 11/2024 |
| 668 | 2^1619885+28229 | 487634 | Enzo Doria | 04/2024 |
| 669 | 10^487291+7 | 487292 | Alfred Reich | 06/2021 |
| 670 | 2^1617677+227927 | 486970 | Enzo Doria | 10/2024 |
| 671 | 2^1617579+1889543 | 486940 | Enzo Doria | 09/2017 |
| 672 | 97481^97481-70^70 | 486325 | Henri Lifchitz | 10/2024 |
| 673 | 2^1613665+237257 | 485762 | Enzo Doria | 07/2025 |
| 674 | 2^1613632+215011 | 485752 | Enzo Doria | 11/2023 |
| 675 | 2^1613048+60031 | 485576 | Enzo Doria | 10/2026 |
| 676 | 2^1612600+27331 | 485441 | Enzo Doria | 03/2024 |
| 677 | 2^1610146+24739 | 484703 | Enzo Doria | 11/2023 |
| 678 | 2^1609596+240481 | 484537 | Enzo Doria | 12/2025 |
| 679 | 2^1609360+43711 | 484466 | Enzo Doria | 03/2025 |
| 680 | L(2316773) | 484177 | Serge Batalov | 06/2017 |
| 681 | (57^275669-1)/56 | 484039 | Paul Bourdelais | 04/2021 |
| 682 | 2^1602171+40943 | 482302 | Enzo Doria | 01/2025 |
| 683 | 2^1601964+215491 | 482240 | Enzo Doria | 11/2023 |
| 684 | 10^482076+9 | 482077 | Boyan Hu | 06/2025 |
| 685 | 96672^96672-1825^1825 | 481939 | Henri Lifchitz | 12/2024 |
| 686 | 2^1600308+34051 | 481741 | Enzo Doria | 09/2024 |
| 687 | 2^1599674+43909 | 481550 | Enzo Doria | 04/2025 |
| 688 | 2^1599624+20011 | 481535 | Enzo Doria | 07/2023 |
| 689 | 2^1599281+237557 | 481432 | Enzo Doria | 08/2025 |
| 690 | 2^1599238+234559 | 481419 | Enzo Doria | 04/2025 |
| 691 | 2^1599205+27047 | 481409 | Enzo Doria | 03/2024 |
| 692 | 2^1599120-5 | 481384 | Stefano Morozzi | 12/2022 |
| 693 | 10^480684-3 | 480684 | Paul Bourdelais | 01/2021 |
| 694 | 2^1595483+184133 | 480289 | Enzo Doria | 07/2017 |
| 695 | 2^1594947+3 | 480127 | Paul Bourdelais | 07/2019 |
| 696 | 2^1594420+36781 | 479969 | Enzo Doria | 10/2024 |
| 697 | 2^1594135+225893 | 479883 | Enzo Doria | 10/2024 |
| 698 | 2^1594129+22697 | 479881 | Enzo Doria | 11/2023 |
| 699 | 2^1593922+213289 | 479819 | Enzo Doria | 10/2023 |
| 700 | 2^1592677+228257 | 479444 | Enzo Doria | 11/2024 |
| 701 | 2^1592625+234041 | 479428 | Enzo Doria | 04/2025 |
| 702 | 2^1592234+26809 | 479311 | Enzo Doria | 03/2024 |
| 703 | 2^1590797+34967 | 478878 | Enzo Doria | 10/2024 |
| 704 | 2^1590424+54061 | 478766 | Enzo Doria | 03/2026 |
| 705 | 2^1587398+249709 | 477855 | Enzo Doria | 07/2026 |
| 706 | 2^1587131+56243 | 477775 | Enzo Doria | 05/2026 |
| 707 | (94^241993-1)/93 | 477482 | Paul Bourdelais | 09/2020 |
| 708 | 2^1585195+1888373 | 477192 | Enzo Doria | 08/2017 |
| 709 | 2^1585021+43427 | 477139 | Enzo Doria | 03/2025 |
| 710 | 2^1583403+242513 | 476652 | Enzo Doria | 12/2025 |
| 711 | 2^1583251+244223 | 476607 | Enzo Doria | 03/2026 |
| 712 | (33^313553+1)/34 | 476134 | Paul Bourdelais | 02/2021 |
| 713 | 2^1581306+220309 | 476021 | Enzo Doria | 03/2024 |
| 714 | 2^1579739+50783 | 475549 | Enzo Doria | 10/2025 |
| 715 | 2^1578654+215029 | 475223 | Enzo Doria | 01/2024 |
| 716 | (84615^96721-1)/(84615^311-1) | 475056 | Ryan Propper | 11/2023 |
| 717 | 3^994536+16 | 474515 | Robert Price | 10/2020 |
| 718 | 2^1576219+233663 | 474490 | Enzo Doria | 03/2025 |
| 719 | 2^1575391+71483 | 474240 | Enzo Doria | 04/2018 |
| 720 | (2^1572882+5)/3 | 473485 | Serge Batalov | 08/2015 |
| 721 | 2^1572882+50239 | 473485 | Enzo Doria | 09/2025 |
| 722 | 2^1572813+240791 | 473464 | Enzo Doria | 11/2025 |
| 723 | 2^1572728+45421 | 473439 | Enzo Doria | 07/2025 |
| 724 | (6^608099-1)/5 | 473193 | Paul Bourdelais | 05/2010 |
| 725 | 2^1570431+41183 | 472747 | Enzo Doria | 02/2025 |
| 726 | 2^1570037+245357 | 472629 | Enzo Doria | 06/2026 |
| 727 | 2^1569708+20371 | 472530 | Enzo Doria | 09/2023 |
| 728 | 2^1569375+29153 | 472429 | Enzo Doria | 05/2024 |
| 729 | 3^989124+16 | 471933 | Robert Price | 10/2020 |
| 730 | 2^1567518+51289 | 471870 | Enzo Doria | 01/2026 |
| 731 | 2^1567006+1888099 | 471716 | Enzo Doria | 05/2017 |
| 732 | -E(107194)/47 | 471629 | Serge Batalov | 07/2025 |
| 733 | 2^1564510+45709 | 470965 | Enzo Doria | 06/2025 |
| 734 | 2^1563462+39919 | 470649 | Enzo Doria | 12/2024 |
| 735 | 2^1563067+1889813 | 470531 | Enzo Doria | 08/2017 |
| 736 | 2^1562428+215851 | 470338 | Enzo Doria | 02/2024 |
| 737 | 2^1562393+58337 | 470328 | Enzo Doria | 06/2026 |
| 738 | 2^1557036+226321 | 468715 | Enzo Doria | 09/2024 |
| 739 | 2^1556999+57083 | 468704 | Enzo Doria | 05/2026 |
| 740 | 2^1556730+222829 | 468623 | Enzo Doria | 07/2024 |
| 741 | 2^1554175+228353 | 467854 | Enzo Doria | 12/2024 |
| 742 | 2^1554078+53359 | 467825 | Enzo Doria | 12/2025 |
| 743 | 2^1552466+59023 | 467339 | Enzo Doria | 09/2026 |
| 744 | 2^1551415+215813 | 467023 | Enzo Doria | 02/2024 |
| 745 | 2^1551411+212933 | 467022 | Enzo Doria | 09/2023 |
| 746 | 2^1550887+36743 | 466864 | Enzo Doria | 11/2024 |
| 747 | 2^1550757+55907 | 466825 | Enzo Doria | 05/2026 |
| 748 | 2^1549797+60197 | 466536 | Enzo Doria | 02/2018 |
| 749 | 2^1549030+1887619 | 466305 | Enzo Doria | 05/2017 |
| 750 | 2^1545920+41467 | 465369 | Enzo Doria | 02/2025 |
