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) !!!
Submit your PRPs
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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
6501 | 2^338808+7885 | 101992 | Stefano Morozzi | 02/2022 |
6502 | 2^338808-105797 | 101992 | Stefano Morozzi | 02/2022 |
6503 | 2^338807-35899 | 101992 | Stefano Morozzi | 06/2022 |
6504 | 2^338808-89175 | 101992 | Stefano Morozzi | 01/2023 |
6505 | 2^338808-91475 | 101992 | Stefano Morozzi | 01/2023 |
6506 | 2^338805+29879 | 101991 | Stefano Morozzi | 01/2022 |
6507 | 2^338805+157925 | 101991 | Stefano Morozzi | 02/2022 |
6508 | 2^338804-6809 | 101991 | Stefano Morozzi | 03/2022 |
6509 | 2^338806-157095 | 101991 | Stefano Morozzi | 03/2022 |
6510 | 2^338804-133173 | 101991 | Stefano Morozzi | 04/2022 |
6511 | 2^338805-115189 | 101991 | Stefano Morozzi | 01/2023 |
6512 | 2^338802+150403 | 101990 | Stefano Morozzi | 11/2021 |
6513 | 2^338801+154587 | 101990 | Stefano Morozzi | 01/2022 |
6514 | 2^338802-180603 | 101990 | Stefano Morozzi | 02/2022 |
6515 | 2^338803-31921 | 101990 | Stefano Morozzi | 03/2022 |
6516 | 2^338803-81735 | 101990 | Stefano Morozzi | 03/2022 |
6517 | 2^338803+195141 | 101990 | Stefano Morozzi | 11/2022 |
6518 | 2^338800+160141 | 101989 | Stefano Morozzi | 03/2022 |
6519 | 2^338797-82489 | 101989 | Stefano Morozzi | 03/2022 |
6524 | 2^338796+93 | 101988 | Donovan Johnson | 06/2008 |
6520 | 2^338795+455 | 101988 | Stefano Morozzi | 11/2021 |
6521 | 2^338795-102075 | 101988 | Stefano Morozzi | 12/2021 |
6522 | 2^338794-3483 | 101988 | Stefano Morozzi | 01/2022 |
6523 | 2^338796+179641 | 101988 | Stefano Morozzi | 01/2022 |
6525 | 2^338793-5155 | 101987 | Stefano Morozzi | 02/2022 |
6526 | 2^338793+111107 | 101987 | Stefano Morozzi | 03/2022 |
6527 | 2^338791+112083 | 101987 | Stefano Morozzi | 04/2022 |
6528 | 2^338792-85097 | 101987 | Stefano Morozzi | 06/2022 |
6529 | (61*10^101986+47)/9 | 101987 | Robert Price | 07/2022 |
6530 | 2^338787+53309 | 101986 | Stefano Morozzi | 01/2022 |
6531 | 2^338787-153817 | 101986 | Stefano Morozzi | 01/2022 |
6532 | 2^338789+56229 | 101986 | Stefano Morozzi | 01/2022 |
6533 | 2^338790+6429 | 101986 | Stefano Morozzi | 01/2022 |
6534 | 2^338788+131701 | 101986 | Stefano Morozzi | 02/2022 |
6535 | 2^338785+104639 | 101985 | Stefano Morozzi | 01/2022 |
6536 | 2^338784+37591 | 101985 | Stefano Morozzi | 04/2022 |
6537 | 2^338786-9831 | 101985 | Stefano Morozzi | 04/2022 |
6538 | 2^338783+109065 | 101984 | Stefano Morozzi | 03/2022 |
6539 | 2^338779+86711 | 101983 | Stefano Morozzi | 04/2022 |
6540 | 2^338778+113589 | 101983 | Stefano Morozzi | 05/2022 |
6541 | 2^338775-30369 | 101982 | Stefano Morozzi | 02/2022 |
6542 | 2^338774+159135 | 101982 | Stefano Morozzi | 03/2022 |
6543 | 2^338776+113001 | 101982 | Stefano Morozzi | 04/2022 |
6544 | 2^338774+117039 | 101982 | Stefano Morozzi | 09/2022 |
6545 | 2^338775+167109 | 101982 | Stefano Morozzi | 09/2022 |
6546 | 2^338774+147595 | 101982 | Stefano Morozzi | 11/2022 |
6547 | 2^338772+42733 | 101981 | Stefano Morozzi | 09/2022 |
6548 | 2^338771-138805 | 101981 | Stefano Morozzi | 12/2022 |
6549 | 2^338768-181007 | 101980 | Stefano Morozzi | 02/2022 |
6550 | 2^338768+108807 | 101980 | Stefano Morozzi | 03/2022 |
6551 | 2^338767+169155 | 101980 | Stefano Morozzi | 09/2022 |
6552 | 2^338769+95369 | 101980 | Stefano Morozzi | 11/2022 |
6553 | 2^338769+195965 | 101980 | Stefano Morozzi | 11/2022 |
6554 | 2^338770-12725 | 101980 | Stefano Morozzi | 12/2022 |
6555 | 2^338768-140843 | 101980 | Stefano Morozzi | 01/2023 |
6556 | 2^338764+138013 | 101979 | Stefano Morozzi | 04/2022 |
6557 | 2^338765-160323 | 101979 | Stefano Morozzi | 06/2022 |
6562 | lucasU(1373,1,32502)-lucasU(1373,1,32501) | 101978 | Mike Oakes | 05/2009 |
6558 | 2^338761+103671 | 101978 | Stefano Morozzi | 01/2022 |
6559 | 2^338763-7651 | 101978 | Stefano Morozzi | 03/2022 |
6560 | 2^338763+65591 | 101978 | Stefano Morozzi | 06/2022 |
6561 | 2^338762-111875 | 101978 | Stefano Morozzi | 12/2022 |
6563 | 2^338757-5151 | 101977 | Stefano Morozzi | 02/2022 |
6564 | 2^338760-79037 | 101977 | Stefano Morozzi | 02/2022 |
6565 | 2^338757-82143 | 101977 | Stefano Morozzi | 03/2022 |
6566 | 2^338757+137007 | 101977 | Stefano Morozzi | 04/2022 |
6567 | 2^338755+158531 | 101976 | Stefano Morozzi | 03/2022 |
6568 | 2^338752-153353 | 101975 | Stefano Morozzi | 01/2022 |
6569 | 2^338751+8001 | 101975 | Stefano Morozzi | 02/2022 |
6570 | 2^338752+32977 | 101975 | Stefano Morozzi | 02/2022 |
6571 | 2^338753-79233 | 101975 | Stefano Morozzi | 02/2022 |
6572 | 2^338752-88157 | 101975 | Stefano Morozzi | 12/2022 |
6573 | 2^338750-175625 | 101974 | Stefano Morozzi | 12/2021 |
6574 | 2^338747-2731 | 101974 | Stefano Morozzi | 12/2021 |
6575 | 2^338750-29597 | 101974 | Stefano Morozzi | 02/2022 |
6576 | 2^338748+35095 | 101974 | Stefano Morozzi | 03/2022 |
6577 | 2^338747+137475 | 101974 | Stefano Morozzi | 04/2022 |
6578 | 2^338747+162005 | 101974 | Stefano Morozzi | 04/2022 |
6579 | 2^338750+162237 | 101974 | Stefano Morozzi | 04/2022 |
6580 | 2^338747-184365 | 101974 | Stefano Morozzi | 04/2022 |
6581 | 2^338748+64341 | 101974 | Stefano Morozzi | 05/2022 |
6582 | 2^338746+59577 | 101973 | Stefano Morozzi | 03/2022 |
6583 | 2^338746+62055 | 101973 | Stefano Morozzi | 04/2022 |
6584 | 2^338744+194065 | 101973 | Stefano Morozzi | 09/2022 |
6585 | 2^338741+25359 | 101972 | Stefano Morozzi | 12/2021 |
6586 | 2^338743+176981 | 101972 | Stefano Morozzi | 12/2021 |
6587 | 2^338741+183029 | 101972 | Stefano Morozzi | 02/2022 |
6588 | 2^338743-130309 | 101972 | Stefano Morozzi | 02/2022 |
6589 | 2^338741+86349 | 101972 | Stefano Morozzi | 04/2022 |
6590 | 2^338741+111561 | 101972 | Stefano Morozzi | 04/2022 |
6591 | 2^338743+172301 | 101972 | Stefano Morozzi | 11/2022 |
6592 | 2^338741-189969 | 101972 | Stefano Morozzi | 01/2023 |
6593 | 2^338739+76959 | 101971 | Stefano Morozzi | 12/2021 |
6594 | 2^338739-105957 | 101971 | Stefano Morozzi | 02/2022 |
6595 | 2^338739+190149 | 101971 | Stefano Morozzi | 05/2022 |
6596 | 2^338738+64947 | 101971 | Stefano Morozzi | 05/2022 |
6597 | 2^338740+119947 | 101971 | Stefano Morozzi | 11/2022 |
6598 | 2^338740-186837 | 101971 | Stefano Morozzi | 12/2022 |
6599 | 2^338737+127547 | 101970 | Stefano Morozzi | 12/2021 |
6600 | 2^338737+128591 | 101970 | Stefano Morozzi | 01/2022 |
6601 | 2^338735-153165 | 101970 | Stefano Morozzi | 01/2022 |
6602 | 2^338734+13719 | 101970 | Stefano Morozzi | 05/2022 |
6603 | 2^338734-138225 | 101970 | Stefano Morozzi | 12/2022 |
6604 | 2^338735-186129 | 101970 | Stefano Morozzi | 12/2022 |
6610 | 25295^10744+10744^25295 | 101969 | Hans Havermann | 01/2019 |
6611 | 25712^9243+9243^25712 | 101969 | Hans Havermann | 01/2019 |
6605 | 2^338731-150895 | 101969 | Stefano Morozzi | 12/2021 |
6606 | 2^338731+54911 | 101969 | Stefano Morozzi | 01/2022 |
6607 | 2^338731+85863 | 101969 | Stefano Morozzi | 03/2022 |
6608 | 2^338732+185047 | 101969 | Stefano Morozzi | 03/2022 |
6609 | 2^338733+193791 | 101969 | Stefano Morozzi | 09/2022 |
6612 | 2^338729+69221 | 101968 | Stefano Morozzi | 09/2022 |
6613 | 2^338728+123355 | 101968 | Stefano Morozzi | 11/2022 |
6614 | 2^338730-87063 | 101968 | Stefano Morozzi | 12/2022 |
6615 | 2^338726+128199 | 101967 | Stefano Morozzi | 01/2022 |
6616 | 2^338727+127745 | 101967 | Stefano Morozzi | 01/2022 |
6617 | 2^338724+32971 | 101967 | Stefano Morozzi | 02/2022 |
6618 | 2^338727+189683 | 101967 | Stefano Morozzi | 05/2022 |
6619 | 2^338727+118293 | 101967 | Stefano Morozzi | 09/2022 |
6620 | 2^338723-76651 | 101966 | Stefano Morozzi | 12/2021 |
6621 | 2^338721+79037 | 101966 | Stefano Morozzi | 01/2022 |
6622 | 2^338723-132621 | 101966 | Stefano Morozzi | 03/2022 |
6623 | 2^338722+137313 | 101966 | Stefano Morozzi | 04/2022 |
6624 | 2^338722+162915 | 101966 | Stefano Morozzi | 04/2022 |
6625 | 2^338718-126861 | 101965 | Stefano Morozzi | 12/2021 |
6626 | 2^338718-109127 | 101965 | Stefano Morozzi | 04/2022 |
6631 | (71^55079-1)/70 | 101964 | Paul Bourdelais | 08/2017 |
6627 | 2^338714+30835 | 101964 | Stefano Morozzi | 01/2022 |
6628 | 2^338714+156715 | 101964 | Stefano Morozzi | 02/2022 |
6629 | 2^338715+19923 | 101964 | Stefano Morozzi | 09/2022 |
6630 | 2^338716+173253 | 101964 | Stefano Morozzi | 11/2022 |
6632 | 2^338711+125399 | 101963 | Stefano Morozzi | 12/2021 |
6633 | 2^338713-30895 | 101963 | Stefano Morozzi | 02/2022 |
6634 | 2^338712-132545 | 101963 | Stefano Morozzi | 03/2022 |
6635 | 2^338713+87825 | 101963 | Stefano Morozzi | 04/2022 |
6636 | 2^338712+190333 | 101963 | Stefano Morozzi | 06/2022 |
6637 | 2^338709-154429 | 101962 | Stefano Morozzi | 02/2022 |
6638 | 2^338710+140545 | 101962 | Stefano Morozzi | 06/2022 |
6639 | 2^338706-102917 | 101961 | Stefano Morozzi | 01/2022 |
6640 | 2^338705+34727 | 101961 | Stefano Morozzi | 03/2022 |
6641 | 2^338706-165633 | 101961 | Stefano Morozzi | 01/2023 |
6642 | 2^338707-116115 | 101961 | Stefano Morozzi | 01/2023 |
6643 | 2^338698+104083 | 101959 | Stefano Morozzi | 01/2022 |
6644 | 2^338700-184565 | 101959 | Stefano Morozzi | 04/2022 |
6645 | 2^338700+189777 | 101959 | Stefano Morozzi | 05/2022 |
6646 | 2^338698+41779 | 101959 | Stefano Morozzi | 09/2022 |
6647 | 2^338699+148533 | 101959 | Stefano Morozzi | 11/2022 |
6648 | 2^338700+97381 | 101959 | Stefano Morozzi | 11/2022 |
6649 | 2^338696+181671 | 101958 | Stefano Morozzi | 02/2022 |
6650 | 2^338697+146651 | 101958 | Stefano Morozzi | 11/2022 |
6651 | 2^338692+106297 | 101957 | Stefano Morozzi | 01/2022 |
6652 | 2^338692+33195 | 101957 | Stefano Morozzi | 02/2022 |
6653 | 2^338692+110505 | 101957 | Stefano Morozzi | 03/2022 |
6654 | 2^338692+190093 | 101957 | Stefano Morozzi | 05/2022 |
6655 | 2^338692+173343 | 101957 | Stefano Morozzi | 11/2022 |
6656 | 2^338693+144975 | 101957 | Stefano Morozzi | 11/2022 |
6657 | 2^338688+82203 | 101956 | Stefano Morozzi | 02/2022 |
6658 | 2^338689+82365 | 101956 | Stefano Morozzi | 02/2022 |
6659 | 2^338686-81303 | 101955 | Stefano Morozzi | 03/2022 |
6660 | 2^338687+40461 | 101955 | Stefano Morozzi | 06/2022 |
6661 | 2^338687+65283 | 101955 | Stefano Morozzi | 06/2022 |
6666 | 2^338682-19865 | 101954 | Enzo Doria | 06/2013 |
6667 | (2^(112895*3+1)+243)/7 | 101954 | Kevin Acres | 12/2013 |
6662 | (8*10^101954-269)/9 | 101954 | Robert Price | 09/2021 |
6663 | 2^338683+50303 | 101954 | Stefano Morozzi | 11/2021 |
6664 | 2^338682-107205 | 101954 | Stefano Morozzi | 03/2022 |
6665 | 2^338682+13839 | 101954 | Stefano Morozzi | 05/2022 |
6668 | 2^338678-180005 | 101953 | Stefano Morozzi | 02/2022 |
6669 | 2^338680+15855 | 101953 | Stefano Morozzi | 06/2022 |
6670 | 2^338678+93175 | 101953 | Stefano Morozzi | 09/2022 |
6671 | 2^338674-175967 | 101952 | Stefano Morozzi | 12/2021 |
6672 | 2^338677-177373 | 101952 | Stefano Morozzi | 12/2021 |
6673 | 2^338677+102999 | 101952 | Stefano Morozzi | 01/2022 |
6674 | 2^338676+33381 | 101952 | Stefano Morozzi | 03/2022 |
6675 | 2^338677-82699 | 101952 | Stefano Morozzi | 03/2022 |
6676 | 2^338676-34299 | 101952 | Stefano Morozzi | 04/2022 |
6677 | 2^338675+188445 | 101952 | Stefano Morozzi | 05/2022 |
6678 | 2^338676+165271 | 101952 | Stefano Morozzi | 06/2022 |
6679 | 2^338674-187551 | 101952 | Stefano Morozzi | 12/2022 |
6680 | 2^338671-55041 | 101951 | Stefano Morozzi | 02/2022 |
6681 | 2^338673-80203 | 101951 | Stefano Morozzi | 02/2022 |
6682 | 2^338672-182063 | 101951 | Stefano Morozzi | 03/2022 |
6683 | 2^338672+36667 | 101951 | Stefano Morozzi | 04/2022 |
6684 | 2^338668+2583 | 101950 | Stefano Morozzi | 12/2021 |
6685 | 2^338670-157001 | 101950 | Stefano Morozzi | 03/2022 |
6686 | 2^338669-8353 | 101950 | Stefano Morozzi | 04/2022 |
6687 | 2^338670+40635 | 101950 | Stefano Morozzi | 06/2022 |
6695 | (2^338666+3154)/2 | 101949 | Stefano Morozzi | 09/2020 |
6688 | 2^338665+1577 | 101949 | Stefano Morozzi | 12/2021 |
6689 | 2^338665-51133 | 101949 | Stefano Morozzi | 12/2021 |
6690 | 2^338664+4345 | 101949 | Stefano Morozzi | 01/2022 |
6691 | 2^338666-128943 | 101949 | Stefano Morozzi | 01/2022 |
6692 | 2^338664+131535 | 101949 | Stefano Morozzi | 01/2022 |
6693 | 2^338667+14943 | 101949 | Stefano Morozzi | 05/2022 |
6694 | 2^338665+166637 | 101949 | Stefano Morozzi | 09/2022 |
6696 | 2^338662+31587 | 101948 | Stefano Morozzi | 02/2022 |
6697 | 2^338663-58375 | 101948 | Stefano Morozzi | 04/2022 |
6698 | 2^338663-107869 | 101948 | Stefano Morozzi | 04/2022 |
6699 | 2^338663+90435 | 101948 | Stefano Morozzi | 06/2022 |
6700 | 2^338661+70457 | 101948 | Stefano Morozzi | 11/2022 |
6701 | 2^338662+70519 | 101948 | Stefano Morozzi | 11/2022 |
6702 | 2^338663-39447 | 101948 | Stefano Morozzi | 01/2023 |
6703 | 2^338658-159191 | 101947 | Stefano Morozzi | 04/2022 |
6704 | 2^338659-159687 | 101947 | Stefano Morozzi | 04/2022 |
6705 | 2^338659+15543 | 101947 | Stefano Morozzi | 05/2022 |
6706 | 2^338658+44395 | 101947 | Stefano Morozzi | 09/2022 |
6707 | 2^338658+192537 | 101947 | Stefano Morozzi | 09/2022 |
6708 | 2^338659-90531 | 101947 | Stefano Morozzi | 01/2023 |
6709 | 2^338659-114759 | 101947 | Stefano Morozzi | 01/2023 |
6710 | 2^338654+51027 | 101946 | Stefano Morozzi | 12/2021 |
6711 | 2^338656-152115 | 101946 | Stefano Morozzi | 12/2021 |
6712 | 2^338654+32415 | 101946 | Stefano Morozzi | 02/2022 |
6713 | 2^338654+39799 | 101946 | Stefano Morozzi | 05/2022 |
6714 | 2^338655+144579 | 101946 | Stefano Morozzi | 09/2022 |
6715 | 2^338657+97509 | 101946 | Stefano Morozzi | 11/2022 |
6716 | 2^338653+126629 | 101945 | Stefano Morozzi | 12/2021 |
6717 | 2^338653+33279 | 101945 | Stefano Morozzi | 02/2022 |
6718 | 2^338652-107097 | 101945 | Stefano Morozzi | 03/2022 |
6719 | 2^338653+94475 | 101945 | Stefano Morozzi | 09/2022 |
6720 | 2^338651+194073 | 101945 | Stefano Morozzi | 09/2022 |
6721 | 2^338652-89157 | 101945 | Stefano Morozzi | 01/2023 |
6722 | 2^338649-154663 | 101944 | Stefano Morozzi | 02/2022 |
6723 | 2^338650+61399 | 101944 | Stefano Morozzi | 04/2022 |
6724 | 2^338650-35655 | 101944 | Stefano Morozzi | 06/2022 |
6725 | 2^338650+169623 | 101944 | Stefano Morozzi | 09/2022 |
6726 | 2^338649-40743 | 101944 | Stefano Morozzi | 01/2023 |
6727 | 2^338645+150311 | 101943 | Stefano Morozzi | 11/2021 |
6728 | 2^338645+28481 | 101943 | Stefano Morozzi | 01/2022 |
6729 | 2^338647-77895 | 101943 | Stefano Morozzi | 01/2022 |
6730 | 2^338647-84607 | 101943 | Stefano Morozzi | 04/2022 |
6731 | 2^338647+164523 | 101943 | Stefano Morozzi | 05/2022 |
6732 | 2^338645+64845 | 101943 | Stefano Morozzi | 05/2022 |
6733 | 2^338644-35969 | 101943 | Stefano Morozzi | 12/2022 |
6734 | 2^338645-15715 | 101943 | Stefano Morozzi | 01/2023 |
6735 | 2^338641-152541 | 101942 | Stefano Morozzi | 12/2021 |
6736 | 2^338643-56487 | 101942 | Stefano Morozzi | 03/2022 |
6737 | 2^338642-186525 | 101942 | Stefano Morozzi | 12/2022 |
6738 | 2^338638+100575 | 101941 | Stefano Morozzi | 12/2021 |
6739 | 2^338639-127461 | 101941 | Stefano Morozzi | 12/2021 |
6740 | 2^338640+187657 | 101941 | Stefano Morozzi | 04/2022 |
6741 | 2^338640+44431 | 101941 | Stefano Morozzi | 09/2022 |
6742 | 2^338635+1961 | 101940 | Stefano Morozzi | 12/2021 |
6743 | 2^338637+102125 | 101940 | Stefano Morozzi | 12/2021 |
6744 | 2^338636-135329 | 101940 | Stefano Morozzi | 06/2022 |
6749 | 28594^3673+3673^28594 | 101939 | Hans Havermann | 02/2019 |
6745 | 2^338631+110741 | 101939 | Stefano Morozzi | 03/2022 |
6746 | 2^338631+112119 | 101939 | Stefano Morozzi | 04/2022 |
6747 | 2^338634-83097 | 101939 | Stefano Morozzi | 04/2022 |
6748 | 2^338633+139701 | 101939 | Stefano Morozzi | 05/2022 |
6750 | 2^338630-150341 | 101938 | Stefano Morozzi | 12/2021 |