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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See the Latest PRPs
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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
6501 | 2^338370-4787 | 101860 | Stefano Morozzi | 02/2022 |
6502 | 2^338371-133491 | 101860 | Stefano Morozzi | 04/2022 |
6507 | 2^338368-20369 | 101859 | Enzo Doria | 06/2013 |
6508 | 2^338366+74179 | 101859 | Enzo Doria | 04/2016 |
6503 | 2^338366+53853 | 101859 | Stefano Morozzi | 01/2022 |
6504 | 2^338365-31665 | 101859 | Stefano Morozzi | 03/2022 |
6505 | 2^338368-156345 | 101859 | Stefano Morozzi | 03/2022 |
6506 | 2^338366-159867 | 101859 | Stefano Morozzi | 04/2022 |
6509 | 2^338362-180845 | 101858 | Stefano Morozzi | 02/2022 |
6510 | 2^338364-155769 | 101858 | Stefano Morozzi | 02/2022 |
6511 | 2^338361-100875 | 101857 | Stefano Morozzi | 12/2021 |
6512 | 2^338361+154169 | 101857 | Stefano Morozzi | 01/2022 |
6513 | 2^338356+101271 | 101856 | Stefano Morozzi | 12/2021 |
6514 | 2^338356+53383 | 101856 | Stefano Morozzi | 01/2022 |
6515 | 2^338355+59393 | 101856 | Stefano Morozzi | 03/2022 |
6516 | 2^338356+60775 | 101856 | Stefano Morozzi | 03/2022 |
6517 | 2^338356-106257 | 101856 | Stefano Morozzi | 03/2022 |
6518 | 2^338357-58921 | 101856 | Stefano Morozzi | 04/2022 |
6519 | 2^338350-152933 | 101854 | Stefano Morozzi | 01/2022 |
6520 | 2^338350+6337 | 101854 | Stefano Morozzi | 01/2022 |
6522 | 27088^5755+5755^27088 | 101853 | Hans Havermann | 01/2019 |
6521 | 2^338347+125901 | 101853 | Stefano Morozzi | 11/2021 |
6523 | 2^338343+152271 | 101852 | Stefano Morozzi | 12/2021 |
6524 | 2^338345+154107 | 101852 | Stefano Morozzi | 01/2022 |
6525 | 2^338342+155397 | 101852 | Stefano Morozzi | 01/2022 |
6526 | 2^338342-130767 | 101852 | Stefano Morozzi | 02/2022 |
6527 | 2^338345-30123 | 101852 | Stefano Morozzi | 02/2022 |
6528 | 2^338345+35747 | 101852 | Stefano Morozzi | 03/2022 |
6529 | 2^338345-133131 | 101852 | Stefano Morozzi | 04/2022 |
6530 | 2^338345-134559 | 101852 | Stefano Morozzi | 04/2022 |
6531 | 2^338339+2753 | 101851 | Stefano Morozzi | 12/2021 |
6532 | 2^338341+128415 | 101851 | Stefano Morozzi | 01/2022 |
6533 | 2^338338+2677 | 101850 | Stefano Morozzi | 12/2021 |
6534 | 2^338336+54607 | 101850 | Stefano Morozzi | 01/2022 |
6535 | 2^338338+109999 | 101850 | Stefano Morozzi | 03/2022 |
6536 | 2^338336+161575 | 101850 | Stefano Morozzi | 04/2022 |
6537 | 2^338335+51975 | 101849 | Stefano Morozzi | 12/2021 |
6538 | 2^338335-152607 | 101849 | Stefano Morozzi | 01/2022 |
6539 | 2^338334+55273 | 101849 | Stefano Morozzi | 01/2022 |
6540 | 2^338332+34315 | 101849 | Stefano Morozzi | 03/2022 |
6541 | 2^338335+158759 | 101849 | Stefano Morozzi | 03/2022 |
6542 | 2^338331+83403 | 101848 | Stefano Morozzi | 02/2022 |
6543 | 2^338328-5295 | 101847 | Stefano Morozzi | 02/2022 |
6544 | 2^338324-179667 | 101846 | Stefano Morozzi | 02/2022 |
6545 | 2^338316-175857 | 101844 | Stefano Morozzi | 12/2021 |
6546 | 2^338318+54405 | 101844 | Stefano Morozzi | 01/2022 |
6547 | 2^338316+32961 | 101844 | Stefano Morozzi | 02/2022 |
6548 | 2^338315-178635 | 101843 | Stefano Morozzi | 01/2022 |
6549 | 2^338315+34899 | 101843 | Stefano Morozzi | 03/2022 |
6550 | 2^338314-106973 | 101843 | Stefano Morozzi | 03/2022 |
6551 | 2^338311-51799 | 101842 | Stefano Morozzi | 12/2021 |
6552 | 2^338309+157259 | 101842 | Stefano Morozzi | 02/2022 |
6553 | 2^338308-55853 | 101841 | Stefano Morozzi | 02/2022 |
6554 | 2^338307+134871 | 101841 | Stefano Morozzi | 03/2022 |
6555 | 2^338304+78757 | 101840 | Stefano Morozzi | 01/2022 |
6556 | 2^338304-5807 | 101840 | Stefano Morozzi | 02/2022 |
6557 | 2^338305+110879 | 101840 | Stefano Morozzi | 03/2022 |
6558 | 2^338299+85611 | 101839 | Stefano Morozzi | 03/2022 |
6559 | 2^338298-25571 | 101838 | Stefano Morozzi | 12/2021 |
6560 | 2^338297+35547 | 101838 | Stefano Morozzi | 03/2022 |
6561 | 2^338298+111199 | 101838 | Stefano Morozzi | 03/2022 |
6562 | 2^338294-150711 | 101837 | Stefano Morozzi | 12/2021 |
6563 | 2^338294+177597 | 101837 | Stefano Morozzi | 12/2021 |
6564 | 2^338294-177807 | 101837 | Stefano Morozzi | 01/2022 |
6565 | 2^338295-52929 | 101837 | Stefano Morozzi | 01/2022 |
6566 | 2^338293+37407 | 101837 | Stefano Morozzi | 04/2022 |
6567 | 2^338289+30957 | 101836 | Stefano Morozzi | 01/2022 |
6568 | 2^338291+131825 | 101836 | Stefano Morozzi | 02/2022 |
6569 | 2^338291+110111 | 101836 | Stefano Morozzi | 03/2022 |
6570 | 2^338290-156423 | 101836 | Stefano Morozzi | 03/2022 |
6571 | 2^338291-157845 | 101836 | Stefano Morozzi | 03/2022 |
6572 | 2^338288+26623 | 101835 | Stefano Morozzi | 12/2021 |
6573 | 2^338286+33325 | 101835 | Stefano Morozzi | 02/2022 |
6574 | 2^338287+132633 | 101835 | Stefano Morozzi | 02/2022 |
6575 | 2^338287+157149 | 101835 | Stefano Morozzi | 02/2022 |
6576 | 2^338288-107193 | 101835 | Stefano Morozzi | 03/2022 |
6577 | 2^338286-83333 | 101835 | Stefano Morozzi | 04/2022 |
6578 | 2^338287+114425 | 101835 | Stefano Morozzi | 05/2022 |
6579 | 2^338285+82131 | 101834 | Stefano Morozzi | 02/2022 |
6580 | 2^338284-104217 | 101834 | Stefano Morozzi | 02/2022 |
6581 | 2^338282-84533 | 101834 | Stefano Morozzi | 04/2022 |
6586 | 2^338280-19745 | 101833 | Enzo Doria | 06/2013 |
6582 | 2^338279-125947 | 101833 | Stefano Morozzi | 12/2021 |
6583 | 2^338280-50343 | 101833 | Stefano Morozzi | 12/2021 |
6584 | 2^338279+133331 | 101833 | Stefano Morozzi | 02/2022 |
6585 | 2^338281-54561 | 101833 | Stefano Morozzi | 02/2022 |
6587 | 2^338278+188215 | 101832 | Stefano Morozzi | 05/2022 |
6588 | 2^338273+181101 | 101831 | Stefano Morozzi | 01/2022 |
6589 | 2^338275+32909 | 101831 | Stefano Morozzi | 02/2022 |
6590 | 2^338266+110665 | 101829 | Stefano Morozzi | 03/2022 |
6591 | 2^338267+110481 | 101829 | Stefano Morozzi | 03/2022 |
6592 | 2^338265-154893 | 101828 | Stefano Morozzi | 02/2022 |
6593 | 2^338264+163611 | 101828 | Stefano Morozzi | 05/2022 |
6594 | 2^338256+5223 | 101826 | Stefano Morozzi | 01/2022 |
6595 | 2^338257+178425 | 101826 | Stefano Morozzi | 01/2022 |
6596 | 2^338256-180569 | 101826 | Stefano Morozzi | 02/2022 |
6597 | 2^338257-5965 | 101826 | Stefano Morozzi | 02/2022 |
6598 | 2^338258-9225 | 101826 | Stefano Morozzi | 04/2022 |
6599 | 2^338255-127021 | 101825 | Stefano Morozzi | 12/2021 |
6600 | 2^338253+159005 | 101825 | Stefano Morozzi | 03/2022 |
6601 | 2^338253+64817 | 101825 | Stefano Morozzi | 05/2022 |
6602 | 2^338251+78975 | 101824 | Stefano Morozzi | 01/2022 |
6603 | 2^338252-178709 | 101824 | Stefano Morozzi | 01/2022 |
6604 | 2^338252+129703 | 101824 | Stefano Morozzi | 01/2022 |
6605 | 2^338252+132285 | 101824 | Stefano Morozzi | 02/2022 |
6606 | 2^338251-33381 | 101824 | Stefano Morozzi | 04/2022 |
6607 | 2^338245-134755 | 101822 | Stefano Morozzi | 04/2022 |
6608 | 2^338244-59219 | 101822 | Stefano Morozzi | 04/2022 |
6615 | (2^338242+2782)/2 | 101821 | Stefano Morozzi | 02/2021 |
6609 | 2^338241+1391 | 101821 | Stefano Morozzi | 12/2021 |
6610 | 2^338242+151195 | 101821 | Stefano Morozzi | 12/2021 |
6611 | 2^338240-152495 | 101821 | Stefano Morozzi | 12/2021 |
6612 | 2^338240+81745 | 101821 | Stefano Morozzi | 02/2022 |
6613 | 2^338241-155551 | 101821 | Stefano Morozzi | 02/2022 |
6614 | 2^338242-108237 | 101821 | Stefano Morozzi | 04/2022 |
6616 | 2^338238-126735 | 101820 | Stefano Morozzi | 12/2021 |
6617 | 2^338238+183855 | 101820 | Stefano Morozzi | 03/2022 |
6618 | 2^338234-80925 | 101819 | Stefano Morozzi | 02/2022 |
6619 | 2^338234-154593 | 101819 | Stefano Morozzi | 02/2022 |
6620 | 2^338235-131787 | 101819 | Stefano Morozzi | 03/2022 |
6621 | 2^338233+89781 | 101819 | Stefano Morozzi | 05/2022 |
6627 | (3*2^338236-1)/347 | 101818 | Lelio R Paula | 03/2014 |
6622 | 2^338232-175539 | 101818 | Stefano Morozzi | 12/2021 |
6623 | 2^338231+57345 | 101818 | Stefano Morozzi | 02/2022 |
6624 | 2^338232+36097 | 101818 | Stefano Morozzi | 03/2022 |
6625 | 2^338230+137403 | 101818 | Stefano Morozzi | 04/2022 |
6626 | 2^338231-59569 | 101818 | Stefano Morozzi | 04/2022 |
6628 | 2^338228+159247 | 101817 | Stefano Morozzi | 03/2022 |
6629 | (34*10^101815+191)/9 | 101816 | Robert Price | 08/2021 |
6630 | 2^338224+185461 | 101816 | Stefano Morozzi | 03/2022 |
6631 | 2^338224+62295 | 101816 | Stefano Morozzi | 04/2022 |
6632 | 2^338225+162645 | 101816 | Stefano Morozzi | 04/2022 |
6637 | 6^130841+103 | 101815 | Lelio R Paula | 10/2016 |
6633 | 2^338220+150405 | 101815 | Stefano Morozzi | 11/2021 |
6634 | 2^338219-4147 | 101815 | Stefano Morozzi | 01/2022 |
6635 | 2^338221+83391 | 101815 | Stefano Morozzi | 02/2022 |
6636 | 2^338221+62937 | 101815 | Stefano Morozzi | 04/2022 |
6638 | 2^338216+77473 | 101814 | Stefano Morozzi | 12/2021 |
6639 | 2^338218+155299 | 101814 | Stefano Morozzi | 01/2022 |
6640 | 2^338217-134745 | 101814 | Stefano Morozzi | 04/2022 |
6641 | 2^338213-125631 | 101813 | Stefano Morozzi | 12/2021 |
6642 | 2^338215+25845 | 101813 | Stefano Morozzi | 12/2021 |
6643 | 2^338210-153537 | 101812 | Stefano Morozzi | 01/2022 |
6644 | 2^338209+60915 | 101812 | Stefano Morozzi | 03/2022 |
6645 | 2^338211-57297 | 101812 | Stefano Morozzi | 03/2022 |
6646 | 2^338208-178787 | 101811 | Stefano Morozzi | 01/2022 |
6647 | 2^338208+106153 | 101811 | Stefano Morozzi | 01/2022 |
6648 | 2^338205+102471 | 101810 | Stefano Morozzi | 12/2021 |
6649 | 2^338199-176377 | 101809 | Stefano Morozzi | 12/2021 |
6650 | 2^338201-151233 | 101809 | Stefano Morozzi | 12/2021 |
6651 | 2^338202-152061 | 101809 | Stefano Morozzi | 12/2021 |
6652 | 2^338202+133785 | 101809 | Stefano Morozzi | 03/2022 |
6653 | 2^338200+135643 | 101809 | Stefano Morozzi | 03/2022 |
6654 | 2^338202+14169 | 101809 | Stefano Morozzi | 05/2022 |
6655 | 2^338194-175845 | 101807 | Stefano Morozzi | 12/2021 |
6656 | 2^338195+56771 | 101807 | Stefano Morozzi | 02/2022 |
6657 | 2^338195+162365 | 101807 | Stefano Morozzi | 04/2022 |
6658 | 2^338192+130387 | 101806 | Stefano Morozzi | 01/2022 |
6659 | 2^338190+89359 | 101806 | Stefano Morozzi | 05/2022 |
6660 | 2^338186+127245 | 101805 | Stefano Morozzi | 12/2021 |
6661 | 2^338186-130013 | 101805 | Stefano Morozzi | 02/2022 |
6662 | 2^338186+39235 | 101805 | Stefano Morozzi | 05/2022 |
6663 | 2^338185+77315 | 101804 | Stefano Morozzi | 12/2021 |
6664 | 2^338185+102519 | 101804 | Stefano Morozzi | 12/2021 |
6665 | 2^338183-76539 | 101804 | Stefano Morozzi | 12/2021 |
6666 | 2^338185+104489 | 101804 | Stefano Morozzi | 01/2022 |
6667 | 2^338179+35361 | 101803 | Stefano Morozzi | 03/2022 |
6668 | 2^338181+64235 | 101803 | Stefano Morozzi | 05/2022 |
6669 | 2^338177+51807 | 101802 | Stefano Morozzi | 12/2021 |
6670 | 2^338177+107385 | 101802 | Stefano Morozzi | 02/2022 |
6671 | 2^338178+34287 | 101802 | Stefano Morozzi | 03/2022 |
6672 | 2^338178+184207 | 101802 | Stefano Morozzi | 03/2022 |
6673 | 2^338177-108901 | 101802 | Stefano Morozzi | 04/2022 |
6674 | 2^338175+25161 | 101801 | Stefano Morozzi | 11/2021 |
6675 | 2^338173-27901 | 101801 | Stefano Morozzi | 01/2022 |
6676 | 2^338169-155965 | 101800 | Stefano Morozzi | 02/2022 |
6677 | 2^338166+183237 | 101799 | Stefano Morozzi | 02/2022 |
6678 | 2^338168-157835 | 101799 | Stefano Morozzi | 03/2022 |
6679 | 2^338166+137107 | 101799 | Stefano Morozzi | 04/2022 |
6680 | 2^338165-152139 | 101798 | Stefano Morozzi | 12/2021 |
6681 | 2^338163-178947 | 101798 | Stefano Morozzi | 02/2022 |
6682 | 2^338159-127575 | 101797 | Stefano Morozzi | 12/2021 |
6683 | 2^338161+154259 | 101797 | Stefano Morozzi | 01/2022 |
6684 | 2^338160+139947 | 101797 | Stefano Morozzi | 05/2022 |
6685 | 2^338156-75269 | 101796 | Stefano Morozzi | 12/2021 |
6686 | 2^338156-151247 | 101796 | Stefano Morozzi | 12/2021 |
6687 | 2^338156+103273 | 101796 | Stefano Morozzi | 01/2022 |
6688 | 2^338155+132621 | 101795 | Stefano Morozzi | 02/2022 |
6689 | 2^338155-82605 | 101795 | Stefano Morozzi | 03/2022 |
6690 | 2^338155-182631 | 101795 | Stefano Morozzi | 03/2022 |
6691 | 2^338155+187755 | 101795 | Stefano Morozzi | 04/2022 |
6692 | 2^338154-83975 | 101795 | Stefano Morozzi | 04/2022 |
6693 | 2^338154+163759 | 101795 | Stefano Morozzi | 05/2022 |
6694 | 2^338152-25767 | 101794 | Stefano Morozzi | 12/2021 |
6695 | 2^338152+181927 | 101794 | Stefano Morozzi | 02/2022 |
6696 | 2^338151+60779 | 101794 | Stefano Morozzi | 03/2022 |
6697 | 2^338151+189149 | 101794 | Stefano Morozzi | 05/2022 |
6698 | 2^338147+29343 | 101793 | Stefano Morozzi | 01/2022 |
6699 | 2^338148+130803 | 101793 | Stefano Morozzi | 01/2022 |
6700 | 2^338144+180697 | 101792 | Stefano Morozzi | 01/2022 |
6701 | 2^338143+8589 | 101792 | Stefano Morozzi | 02/2022 |
6702 | 2^338143-55611 | 101792 | Stefano Morozzi | 02/2022 |
6703 | 2^338143+60623 | 101792 | Stefano Morozzi | 03/2022 |
6704 | 2^338141-77301 | 101791 | Stefano Morozzi | 12/2021 |
6705 | 2^338141+157145 | 101791 | Stefano Morozzi | 02/2022 |
6706 | 2^338140+84745 | 101791 | Stefano Morozzi | 03/2022 |
6707 | 2^338140+90073 | 101791 | Stefano Morozzi | 05/2022 |
6708 | 2^338139-134719 | 101790 | Stefano Morozzi | 04/2022 |
6709 | 2^338133+1445 | 101789 | Stefano Morozzi | 12/2021 |
6710 | 2^338132+105643 | 101788 | Stefano Morozzi | 01/2022 |
6711 | 2^338131+181871 | 101788 | Stefano Morozzi | 02/2022 |
6712 | 2^338132-184539 | 101788 | Stefano Morozzi | 04/2022 |
6713 | 2^338128+128953 | 101787 | Stefano Morozzi | 01/2022 |
6714 | 2^338127+11021 | 101787 | Stefano Morozzi | 03/2022 |
6715 | 2^338123-25959 | 101786 | Stefano Morozzi | 12/2021 |
6716 | 2^338124-180765 | 101786 | Stefano Morozzi | 02/2022 |
6717 | 2^338125-7129 | 101786 | Stefano Morozzi | 03/2022 |
6719 | 2^338122-20117 | 101785 | Enzo Doria | 06/2013 |
6720 | (2^338139+5)/905333 | 101785 | Lelio R Paula | 12/2013 |
6718 | 2^338122+32799 | 101785 | Stefano Morozzi | 02/2022 |
6721 | 2^338117+103761 | 101784 | Stefano Morozzi | 01/2022 |
6722 | 2^338118+53817 | 101784 | Stefano Morozzi | 01/2022 |
6723 | 2^338116+82585 | 101784 | Stefano Morozzi | 02/2022 |
6724 | 2^338118+39483 | 101784 | Stefano Morozzi | 05/2022 |
6725 | 2^338115+61083 | 101783 | Stefano Morozzi | 03/2022 |
6726 | 2^338110-175365 | 101782 | Stefano Morozzi | 12/2021 |
6727 | 2^338110-3963 | 101782 | Stefano Morozzi | 01/2022 |
6728 | 2^338112+155061 | 101782 | Stefano Morozzi | 01/2022 |
6729 | 2^338112+137335 | 101782 | Stefano Morozzi | 04/2022 |
6736 | 35^65917-7092 | 101781 | Enzo Doria | 03/2013 |
6730 | 2^338107-1221 | 101781 | Stefano Morozzi | 12/2021 |
6731 | 2^338109+108539 | 101781 | Stefano Morozzi | 03/2022 |
6732 | 2^338109-7261 | 101781 | Stefano Morozzi | 03/2022 |
6733 | 2^338109-131961 | 101781 | Stefano Morozzi | 03/2022 |
6734 | 2^338108+39585 | 101781 | Stefano Morozzi | 05/2022 |
6735 | 2^338109+38147 | 101781 | Stefano Morozzi | 05/2022 |
6737 | 2^338105+79599 | 101780 | Stefano Morozzi | 01/2022 |
6738 | 2^338103-180675 | 101780 | Stefano Morozzi | 02/2022 |
6739 | 2^338100-100389 | 101779 | Stefano Morozzi | 12/2021 |
6740 | 2^338100+27595 | 101779 | Stefano Morozzi | 12/2021 |
6741 | 2^338101+101139 | 101779 | Stefano Morozzi | 12/2021 |
6742 | 2^338101+134985 | 101779 | Stefano Morozzi | 03/2022 |
6743 | 2^338102+186135 | 101779 | Stefano Morozzi | 03/2022 |
6744 | 2^338100+36885 | 101779 | Stefano Morozzi | 04/2022 |
6745 | 2^338102-8151 | 101779 | Stefano Morozzi | 04/2022 |
6746 | 2^338097+100229 | 101778 | Stefano Morozzi | 11/2021 |
6747 | 2^338097-25695 | 101778 | Stefano Morozzi | 12/2021 |
6748 | 2^338093-128403 | 101777 | Stefano Morozzi | 01/2022 |
6749 | 2^338093+33051 | 101777 | Stefano Morozzi | 02/2022 |
6750 | 2^338094+135555 | 101777 | Stefano Morozzi | 03/2022 |