## PRP Records

### Probable Primes Top 10000

#### (295461 PRPs in the top)

What is a PRP ?

A PRP is a probable prime number, a number that nobody knows how to prove or disprove its primality.
Here are some criterions that can be used to recognize these numbers :

- N does not have any prime factor up to 2^32.
- N cannot be trivially written into a product.
- Take 3 square-free consecutive bases such that (b1/N)=(b2/N)=(b3/N)= -1. N should be such that b1^((N-1)/2)=b2^((N-1)/2)=b3^((N-1)/2)= -1 (mod N).
- Take a prime base such that (b/N)= -1 and b<>b1<>b2<>b3. N should pass the strong test in base b.
- or more (if someone has got an idea) !!!

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 1-250 251-500 501-750 751-1000 1001-1250 1251-1500 1501-1750 1751-2000 2001-2250 2251-2500 2501-2750 2751-3000 3001-3250 3251-3500 3501-3750 3751-4000 4001-4250 4251-4500 4501-4750 4751-5000 5001-5250 5251-5500 5501-5750 5751-6000 6001-6250 6251-6500 6501-6750 6751-7000 7001-7250 7251-7500 7501-7750 7751-8000 8001-8250 8251-8500 8501-8750 8751-9000 9001-9250 9251-9500 9501-9750 9751-10000

 Rank Probable prime Digits (> 50000) Who ? When ? 7501 2^338931-31555 102029 Stefano Morozzi 03/2022 7502 2^338933+64169 102029 Stefano Morozzi 05/2022 7503 2^338932-184965 102029 Stefano Morozzi 06/2022 7504 2^338932+66943 102029 Stefano Morozzi 09/2022 7505 2^338932+92995 102029 Stefano Morozzi 09/2022 7506 2^338931+97001 102029 Stefano Morozzi 11/2022 7507 2^338932-165453 102029 Stefano Morozzi 01/2023 7508 2^338933-40899 102029 Stefano Morozzi 01/2023 7509 2^338928+2367 102028 Stefano Morozzi 12/2021 7510 2^338927+52779 102028 Stefano Morozzi 01/2022 7511 2^338927-79539 102028 Stefano Morozzi 02/2022 7512 2^338929+60819 102028 Stefano Morozzi 03/2022 7513 2^338928-156959 102028 Stefano Morozzi 03/2022 7514 2^338927-63919 102028 Stefano Morozzi 12/2022 7515 2^338925+106631 102027 Stefano Morozzi 01/2022 7516 2^338926+80235 102027 Stefano Morozzi 01/2022 7517 2^338926+41607 102027 Stefano Morozzi 09/2022 7518 2^338925+195435 102027 Stefano Morozzi 11/2022 7519 2^338924-92885 102027 Stefano Morozzi 02/2023 7520 2^338922-27291 102026 Stefano Morozzi 12/2021 7521 2^338919-103849 102025 Stefano Morozzi 01/2022 7522 2^338919+130221 102025 Stefano Morozzi 01/2022 7523 2^338918-91967 102025 Stefano Morozzi 02/2023 7524 2^338917+561057 102025 Boyan Hu 03/2024 7525 2^338914-79121 102024 Stefano Morozzi 02/2022 7526 2^338916+134047 102024 Stefano Morozzi 03/2022 7527 2^338914-11315 102024 Stefano Morozzi 12/2022 7528 2^338910+81027 102023 Stefano Morozzi 01/2022 7529 2^338912+179821 102023 Stefano Morozzi 01/2022 7530 2^338909+100769 102022 Stefano Morozzi 11/2021 7531 2^338908-100839 102022 Stefano Morozzi 12/2021 7532 2^338909-25951 102022 Stefano Morozzi 12/2021 7533 2^338909+66845 102022 Stefano Morozzi 09/2022 7534 2^338907+73509 102022 Stefano Morozzi 11/2022 7535 2^338906-25823 102021 Stefano Morozzi 12/2021 7536 2^338904+75951 102021 Stefano Morozzi 12/2021 7537 2^338906+6685 102021 Stefano Morozzi 01/2022 7538 2^338905+160365 102021 Stefano Morozzi 03/2022 7539 2^338906+92617 102021 Stefano Morozzi 09/2022 7540 2^338904+47065 102021 Stefano Morozzi 11/2022 7541 2^338905+70427 102021 Stefano Morozzi 11/2022 7542 2^338905-163975 102021 Stefano Morozzi 12/2022 7543 2^338903+4155 102020 Stefano Morozzi 01/2022 7544 2^338901+55571 102020 Stefano Morozzi 01/2022 7545 2^338901-55479 102020 Stefano Morozzi 02/2022 7546 2^338903+33555 102020 Stefano Morozzi 03/2022 7547 2^338901+39777 102020 Stefano Morozzi 05/2022 7548 2^338903+165981 102020 Stefano Morozzi 06/2022 7549 2^338901-34863 102020 Stefano Morozzi 06/2022 7550 2^338899-150051 102019 Stefano Morozzi 12/2021 7551 2^338899+125951 102019 Stefano Morozzi 12/2021 7552 2^338898+179623 102019 Stefano Morozzi 01/2022 7553 2^338899-154467 102019 Stefano Morozzi 02/2022 7554 2^338898-60753 102019 Stefano Morozzi 06/2022 7555 2^338898+68635 102019 Stefano Morozzi 09/2022 7556 2^338897-85963 102019 Stefano Morozzi 12/2022 7557 2^338898+174129 102019 Stefano Morozzi 02/2023 7558 2^338894-133295 102018 Stefano Morozzi 04/2022 7559 2^338894+165573 102018 Stefano Morozzi 06/2022 7560 2^338894-60957 102018 Stefano Morozzi 06/2022 7561 2^338894-89463 102018 Stefano Morozzi 01/2023 7571 2^338891-18885 102017 Enzo Doria 05/2013 7562 2^338891+26499 102017 Stefano Morozzi 12/2021 7563 2^338891-2625 102017 Stefano Morozzi 12/2021 7564 2^338893+128727 102017 Stefano Morozzi 01/2022 7565 2^338890-52965 102017 Stefano Morozzi 01/2022 7566 2^338892-55467 102017 Stefano Morozzi 02/2022 7567 2^338892-83393 102017 Stefano Morozzi 04/2022 7568 2^338893+13649 102017 Stefano Morozzi 05/2022 7569 2^338892+117957 102017 Stefano Morozzi 09/2022 7570 2^338892-14643 102017 Stefano Morozzi 01/2023 7572 2^338887+154029 102016 Stefano Morozzi 01/2022 7573 2^338889-104293 102016 Stefano Morozzi 02/2022 7574 2^338887+147741 102016 Stefano Morozzi 11/2022 7575 2^338889+195975 102016 Stefano Morozzi 11/2022 7576 2^338889-117873 102016 Stefano Morozzi 02/2023 7577 2^338886+177159 102015 Stefano Morozzi 12/2021 7578 2^338885+40425 102015 Stefano Morozzi 06/2022 7579 2^338884-13053 102015 Stefano Morozzi 12/2022 7580 2^338885-112569 102015 Stefano Morozzi 12/2022 7581 2^338880+11341 102014 Stefano Morozzi 03/2022 7582 2^338880-160383 102014 Stefano Morozzi 06/2022 7583 2^338880-161627 102014 Stefano Morozzi 12/2022 7584 2^338879-1059 102013 Stefano Morozzi 12/2021 7585 2^338879-54525 102013 Stefano Morozzi 02/2022 7586 2^338877-82813 102013 Stefano Morozzi 03/2022 7587 2^338878-185883 102013 Stefano Morozzi 06/2022 7588 2^338879-60355 102013 Stefano Morozzi 06/2022 7589 2^338878+43719 102013 Stefano Morozzi 09/2022 7590 2^338879+122049 102013 Stefano Morozzi 11/2022 7591 2^338874-15063 102012 Stefano Morozzi 01/2023 7592 2^338874+148993 102012 Stefano Morozzi 02/2023 7593 2^338871+7679 102011 Stefano Morozzi 02/2022 7594 2^338872+61141 102011 Stefano Morozzi 03/2022 7595 2^338872-183923 102011 Stefano Morozzi 04/2022 7596 2^338873+19527 102011 Stefano Morozzi 09/2022 7597 2^338870+70719 102011 Stefano Morozzi 11/2022 7598 (19*10^102011+287)/9/3 102011 Alfred Reich 11/2022 7599 2^338870-37571 102011 Stefano Morozzi 12/2022 7600 2^338872-138573 102011 Stefano Morozzi 12/2022 7601 2^338873-63843 102011 Stefano Morozzi 12/2022 7602 2^338868-5985 102010 Stefano Morozzi 02/2022 7603 2^338867+38079 102010 Stefano Morozzi 05/2022 7604 2^338868+140437 102010 Stefano Morozzi 06/2022 7605 2^338868-110175 102010 Stefano Morozzi 06/2022 7606 2^338868+123337 102010 Stefano Morozzi 11/2022 7607 2^338867-13327 102010 Stefano Morozzi 12/2022 7608 2^338868-11279 102010 Stefano Morozzi 12/2022 7609 2^338868-115685 102010 Stefano Morozzi 01/2023 7610 2^338864+158191 102009 Stefano Morozzi 02/2022 7611 2^338865-39699 102009 Stefano Morozzi 01/2023 7612 2^338865-40789 102009 Stefano Morozzi 01/2023 7613 2^338862+60433 102008 Stefano Morozzi 03/2022 7614 2^338861-9453 102008 Stefano Morozzi 04/2022 7615 2^338861+98067 102008 Stefano Morozzi 11/2022 7616 2^338862+146545 102008 Stefano Morozzi 11/2022 7617 2^338863-186207 102008 Stefano Morozzi 12/2022 7618 2^338860-41429 102008 Stefano Morozzi 01/2023 7619 2^338862-115833 102008 Stefano Morozzi 01/2023 7620 2^338863+74259 102008 Stefano Morozzi 02/2023 7621 2^338863-193017 102008 Stefano Morozzi 02/2023 7622 2^338858-190185 102007 Stefano Morozzi 01/2023 7623 2^338855+102141 102006 Stefano Morozzi 12/2021 7624 2^338856-27173 102006 Stefano Morozzi 12/2021 7625 2^338856-102839 102006 Stefano Morozzi 01/2022 7626 2^338855+79629 102006 Stefano Morozzi 01/2022 7627 2^338856+47755 102006 Stefano Morozzi 11/2022 7628 2^338850+27987 102005 Stefano Morozzi 01/2022 7629 2^338853+111791 102005 Stefano Morozzi 04/2022 7630 2^338852+145797 102005 Stefano Morozzi 11/2022 7631 2^338852-88497 102005 Stefano Morozzi 12/2022 7632 2^338850+124843 102005 Stefano Morozzi 02/2023 7633 2^338853-167695 102005 Stefano Morozzi 02/2023 7634 2^338847+176013 102004 Stefano Morozzi 12/2021 7635 2^338847-2365 102004 Stefano Morozzi 12/2021 7636 2^338848+158941 102004 Stefano Morozzi 03/2022 7637 2^338848+16671 102004 Stefano Morozzi 06/2022 7638 2^338847-35061 102004 Stefano Morozzi 06/2022 7639 2^338848+145063 102004 Stefano Morozzi 11/2022 7640 2^338847-61885 102004 Stefano Morozzi 12/2022 7641 2^338845+135831 102003 Stefano Morozzi 03/2022 7642 2^338846+85695 102003 Stefano Morozzi 03/2022 7643 2^338845+186525 102003 Stefano Morozzi 04/2022 7644 2^338846-163473 102003 Stefano Morozzi 12/2022 7645 2^338844-16077 102003 Stefano Morozzi 01/2023 7646 2^338844-165143 102003 Stefano Morozzi 01/2023 7647 2^338843-127261 102002 Stefano Morozzi 12/2021 7648 2^338843+107205 102002 Stefano Morozzi 02/2022 7649 2^338842-33185 102002 Stefano Morozzi 04/2022 7650 2^338842+14227 102002 Stefano Morozzi 05/2022 7651 2^338842+147973 102002 Stefano Morozzi 11/2022 7659 8*10^102000+51 102001 Robert Price 08/2019 7652 2^338838+150837 102001 Stefano Morozzi 11/2021 7653 2^338838+141397 102001 Stefano Morozzi 06/2022 7654 2^338839+194363 102001 Stefano Morozzi 09/2022 7655 2^338838+95637 102001 Stefano Morozzi 11/2022 7656 2^338839+171545 102001 Stefano Morozzi 11/2022 7657 2^338837-40071 102001 Stefano Morozzi 01/2023 7658 2^338838-90251 102001 Stefano Morozzi 01/2023 7660 2^338835-150625 102000 Stefano Morozzi 12/2021 7661 2^338834-32877 102000 Stefano Morozzi 04/2022 7665 (2^338832+642)/2 101999 Stefano Morozzi 09/2020 7662 2^338833-100905 101999 Stefano Morozzi 12/2021 7663 2^338831+54419 101999 Stefano Morozzi 01/2022 7664 2^338831-63687 101999 Stefano Morozzi 12/2022 7673 2^338829-113239 101998 Enzo Doria 07/2014 7674 2^338828-113297 101998 Enzo Doria 07/2014 7666 2^338830+25017 101998 Stefano Morozzi 11/2021 7667 2^338831+321 101998 Stefano Morozzi 11/2021 7668 2^338827-26197 101998 Stefano Morozzi 12/2021 7669 2^338829+52727 101998 Stefano Morozzi 01/2022 7670 2^338827-55461 101998 Stefano Morozzi 02/2022 7671 2^338828-65859 101998 Stefano Morozzi 01/2023 7672 2^338829+99365 101998 Stefano Morozzi 02/2023 7675 2^338825-27453 101997 Stefano Morozzi 12/2021 7676 2^338824+89355 101997 Stefano Morozzi 05/2022 7677 2^338825-10995 101997 Stefano Morozzi 06/2022 7678 2^338824+149865 101997 Stefano Morozzi 02/2023 7679 2^338822+111175 101996 Stefano Morozzi 03/2022 7680 2^338822+187819 101996 Stefano Morozzi 04/2022 7681 2^338823+139545 101996 Stefano Morozzi 05/2022 7682 2^338823-184905 101996 Stefano Morozzi 06/2022 7683 2^338821-38919 101996 Stefano Morozzi 12/2022 7684 2^338820+41317 101995 Stefano Morozzi 06/2022 7685 2^338817+46019 101995 Stefano Morozzi 11/2022 7686 2^338820+148083 101995 Stefano Morozzi 11/2022 7687 2^338817-163251 101995 Stefano Morozzi 12/2022 7688 2^338819-63705 101995 Stefano Morozzi 12/2022 7689 2^338817-92509 101995 Stefano Morozzi 02/2023 7690 2^338815+151175 101994 Stefano Morozzi 12/2021 7691 2^338814-30011 101994 Stefano Morozzi 02/2022 7692 2^338814+12309 101994 Stefano Morozzi 04/2022 7693 2^338816-60647 101994 Stefano Morozzi 06/2022 7694 2^338816+171043 101994 Stefano Morozzi 11/2022 7695 2^338814-11513 101994 Stefano Morozzi 12/2022 7696 2^338811-126999 101993 Stefano Morozzi 12/2021 7697 2^338811+131621 101993 Stefano Morozzi 02/2022 7698 2^338812-107637 101993 Stefano Morozzi 03/2022 7699 2^338813+192725 101993 Stefano Morozzi 09/2022 7700 2^338812+94731 101993 Stefano Morozzi 11/2022 7701 2^338813+49205 101993 Stefano Morozzi 02/2023 7702 2^338809-152755 101992 Stefano Morozzi 01/2022 7703 2^338808+156531 101992 Stefano Morozzi 01/2022 7704 2^338808+7885 101992 Stefano Morozzi 02/2022 7705 2^338808-105797 101992 Stefano Morozzi 02/2022 7706 2^338807-35899 101992 Stefano Morozzi 06/2022 7707 2^338808-89175 101992 Stefano Morozzi 01/2023 7708 2^338808-91475 101992 Stefano Morozzi 01/2023 7709 2^338805+29879 101991 Stefano Morozzi 01/2022 7710 2^338805+157925 101991 Stefano Morozzi 02/2022 7711 2^338804-6809 101991 Stefano Morozzi 03/2022 7712 2^338806-157095 101991 Stefano Morozzi 03/2022 7713 2^338804-133173 101991 Stefano Morozzi 04/2022 7714 2^338805-115189 101991 Stefano Morozzi 01/2023 7715 2^338802+150403 101990 Stefano Morozzi 11/2021 7716 2^338801+154587 101990 Stefano Morozzi 01/2022 7717 2^338802-180603 101990 Stefano Morozzi 02/2022 7718 2^338803-31921 101990 Stefano Morozzi 03/2022 7719 2^338803-81735 101990 Stefano Morozzi 03/2022 7720 2^338803+195141 101990 Stefano Morozzi 11/2022 7721 2^338800+160141 101989 Stefano Morozzi 03/2022 7722 2^338797-82489 101989 Stefano Morozzi 03/2022 7727 2^338796+93 101988 Donovan Johnson 06/2008 7723 2^338795+455 101988 Stefano Morozzi 11/2021 7724 2^338795-102075 101988 Stefano Morozzi 12/2021 7725 2^338794-3483 101988 Stefano Morozzi 01/2022 7726 2^338796+179641 101988 Stefano Morozzi 01/2022 7728 2^338793-5155 101987 Stefano Morozzi 02/2022 7729 2^338793+111107 101987 Stefano Morozzi 03/2022 7730 2^338791+112083 101987 Stefano Morozzi 04/2022 7731 2^338792-85097 101987 Stefano Morozzi 06/2022 7732 (61*10^101986+47)/9 101987 Robert Price 07/2022 7733 2^338787+53309 101986 Stefano Morozzi 01/2022 7734 2^338787-153817 101986 Stefano Morozzi 01/2022 7735 2^338789+56229 101986 Stefano Morozzi 01/2022 7736 2^338790+6429 101986 Stefano Morozzi 01/2022 7737 2^338788+131701 101986 Stefano Morozzi 02/2022 7738 2^338785+104639 101985 Stefano Morozzi 01/2022 7739 2^338784+37591 101985 Stefano Morozzi 04/2022 7740 2^338786-9831 101985 Stefano Morozzi 04/2022 7741 2^338783+109065 101984 Stefano Morozzi 03/2022 7742 2^338779+86711 101983 Stefano Morozzi 04/2022 7743 2^338778+113589 101983 Stefano Morozzi 05/2022 7744 2^338775-30369 101982 Stefano Morozzi 02/2022 7745 2^338774+159135 101982 Stefano Morozzi 03/2022 7746 2^338776+113001 101982 Stefano Morozzi 04/2022 7747 2^338774+117039 101982 Stefano Morozzi 09/2022 7748 2^338775+167109 101982 Stefano Morozzi 09/2022 7749 2^338774+147595 101982 Stefano Morozzi 11/2022 7750 2^338772+42733 101981 Stefano Morozzi 09/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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