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 ? |
7501 | 2^338169-155965 | 101800 | Stefano Morozzi | 02/2022 |
7502 | 2^338172+95797 | 101800 | Stefano Morozzi | 11/2022 |
7503 | 2^338171-117987 | 101800 | Stefano Morozzi | 02/2023 |
7504 | 2^338166+183237 | 101799 | Stefano Morozzi | 02/2022 |
7505 | 2^338168-157835 | 101799 | Stefano Morozzi | 03/2022 |
7506 | 2^338166+137107 | 101799 | Stefano Morozzi | 04/2022 |
7507 | 2^338166+22897 | 101799 | Stefano Morozzi | 11/2022 |
7508 | 2^338166-161123 | 101799 | Stefano Morozzi | 12/2022 |
7509 | 2^338165-152139 | 101798 | Stefano Morozzi | 12/2021 |
7510 | 2^338163-178947 | 101798 | Stefano Morozzi | 02/2022 |
7511 | 2^338164-64329 | 101798 | Stefano Morozzi | 01/2023 |
7512 | 2^338159-127575 | 101797 | Stefano Morozzi | 12/2021 |
7513 | 2^338161+154259 | 101797 | Stefano Morozzi | 01/2022 |
7514 | 2^338160+139947 | 101797 | Stefano Morozzi | 05/2022 |
7515 | 2^338160+191815 | 101797 | Stefano Morozzi | 09/2022 |
7516 | 2^338160+22207 | 101797 | Stefano Morozzi | 11/2022 |
7517 | 2^338161+196157 | 101797 | Stefano Morozzi | 11/2022 |
7518 | 2^338162-138635 | 101797 | Stefano Morozzi | 12/2022 |
7519 | 2^338156-75269 | 101796 | Stefano Morozzi | 12/2021 |
7520 | 2^338156-151247 | 101796 | Stefano Morozzi | 12/2021 |
7521 | 2^338156+103273 | 101796 | Stefano Morozzi | 01/2022 |
7522 | 2^338156+167053 | 101796 | Stefano Morozzi | 09/2022 |
7523 | 2^338158+69303 | 101796 | Stefano Morozzi | 09/2022 |
7524 | 2^338158+171189 | 101796 | Stefano Morozzi | 11/2022 |
7525 | 2^338157-188989 | 101796 | Stefano Morozzi | 12/2022 |
7526 | 2^338158-188711 | 101796 | Stefano Morozzi | 12/2022 |
7527 | 2^338155+132621 | 101795 | Stefano Morozzi | 02/2022 |
7528 | 2^338155-82605 | 101795 | Stefano Morozzi | 03/2022 |
7529 | 2^338155-182631 | 101795 | Stefano Morozzi | 03/2022 |
7530 | 2^338155+187755 | 101795 | Stefano Morozzi | 04/2022 |
7531 | 2^338154-83975 | 101795 | Stefano Morozzi | 04/2022 |
7532 | 2^338154+163759 | 101795 | Stefano Morozzi | 05/2022 |
7533 | 2^338152-25767 | 101794 | Stefano Morozzi | 12/2021 |
7534 | 2^338152+181927 | 101794 | Stefano Morozzi | 02/2022 |
7535 | 2^338151+60779 | 101794 | Stefano Morozzi | 03/2022 |
7536 | 2^338151+189149 | 101794 | Stefano Morozzi | 05/2022 |
7537 | 2^338152+45567 | 101794 | Stefano Morozzi | 11/2022 |
7538 | 2^338147+29343 | 101793 | Stefano Morozzi | 01/2022 |
7539 | 2^338148+130803 | 101793 | Stefano Morozzi | 01/2022 |
7540 | 2^338146+166167 | 101793 | Stefano Morozzi | 06/2022 |
7541 | 2^338149-185073 | 101793 | Stefano Morozzi | 06/2022 |
7542 | 2^338149+41757 | 101793 | Stefano Morozzi | 09/2022 |
7543 | 2^338149+125015 | 101793 | Stefano Morozzi | 02/2023 |
7544 | 2^338144+180697 | 101792 | Stefano Morozzi | 01/2022 |
7545 | 2^338143+8589 | 101792 | Stefano Morozzi | 02/2022 |
7546 | 2^338143-55611 | 101792 | Stefano Morozzi | 02/2022 |
7547 | 2^338143+60623 | 101792 | Stefano Morozzi | 03/2022 |
7548 | 2^338145-63609 | 101792 | Stefano Morozzi | 12/2022 |
7549 | 2^338141-77301 | 101791 | Stefano Morozzi | 12/2021 |
7550 | 2^338141+157145 | 101791 | Stefano Morozzi | 02/2022 |
7551 | 2^338140+84745 | 101791 | Stefano Morozzi | 03/2022 |
7552 | 2^338140+90073 | 101791 | Stefano Morozzi | 05/2022 |
7553 | 2^338142+96583 | 101791 | Stefano Morozzi | 11/2022 |
7554 | 2^338139-134719 | 101790 | Stefano Morozzi | 04/2022 |
7555 | 2^338138+95443 | 101790 | Stefano Morozzi | 11/2022 |
7556 | 2^338133+1445 | 101789 | Stefano Morozzi | 12/2021 |
7557 | 2^338133+172469 | 101789 | Stefano Morozzi | 11/2022 |
7558 | 2^338134+23235 | 101789 | Stefano Morozzi | 11/2022 |
7559 | 2^338132+105643 | 101788 | Stefano Morozzi | 01/2022 |
7560 | 2^338131+181871 | 101788 | Stefano Morozzi | 02/2022 |
7561 | 2^338132-184539 | 101788 | Stefano Morozzi | 04/2022 |
7562 | 2^338130+22383 | 101788 | Stefano Morozzi | 11/2022 |
7563 | 2^338132+170143 | 101788 | Stefano Morozzi | 11/2022 |
7564 | 2^338131-62599 | 101788 | Stefano Morozzi | 12/2022 |
7565 | 2^338128+128953 | 101787 | Stefano Morozzi | 01/2022 |
7566 | 2^338127+11021 | 101787 | Stefano Morozzi | 03/2022 |
7567 | 2^338127+192935 | 101787 | Stefano Morozzi | 09/2022 |
7568 | 2^338127+98621 | 101787 | Stefano Morozzi | 11/2022 |
7569 | 2^338128+98853 | 101787 | Stefano Morozzi | 02/2023 |
7570 | 2^338123-25959 | 101786 | Stefano Morozzi | 12/2021 |
7571 | 2^338124-180765 | 101786 | Stefano Morozzi | 02/2022 |
7572 | 2^338125-7129 | 101786 | Stefano Morozzi | 03/2022 |
7573 | 2^338125-40071 | 101786 | Stefano Morozzi | 01/2023 |
7577 | 2^338122-20117 | 101785 | Enzo Doria | 06/2013 |
7578 | (2^338139+5)/905333 | 101785 | Lelio R Paula | 12/2013 |
7574 | 2^338122+32799 | 101785 | Stefano Morozzi | 02/2022 |
7575 | 2^338120+166411 | 101785 | Stefano Morozzi | 06/2022 |
7576 | 2^338122+90705 | 101785 | Stefano Morozzi | 06/2022 |
7579 | 2^338117+103761 | 101784 | Stefano Morozzi | 01/2022 |
7580 | 2^338118+53817 | 101784 | Stefano Morozzi | 01/2022 |
7581 | 2^338116+82585 | 101784 | Stefano Morozzi | 02/2022 |
7582 | 2^338118+39483 | 101784 | Stefano Morozzi | 05/2022 |
7583 | 2^338119+96659 | 101784 | Stefano Morozzi | 11/2022 |
7584 | 2^338115+61083 | 101783 | Stefano Morozzi | 03/2022 |
7585 | 2^338114+173287 | 101783 | Stefano Morozzi | 11/2022 |
7586 | 2^338113-139681 | 101783 | Stefano Morozzi | 01/2023 |
7587 | 2^338110-175365 | 101782 | Stefano Morozzi | 12/2021 |
7588 | 2^338110-3963 | 101782 | Stefano Morozzi | 01/2022 |
7589 | 2^338112+155061 | 101782 | Stefano Morozzi | 01/2022 |
7590 | 2^338112+137335 | 101782 | Stefano Morozzi | 04/2022 |
7591 | 2^338111-85627 | 101782 | Stefano Morozzi | 06/2022 |
7592 | 2^338111-90145 | 101782 | Stefano Morozzi | 01/2023 |
7601 | 35^65917-7092 | 101781 | Enzo Doria | 03/2013 |
7593 | 2^338107-1221 | 101781 | Stefano Morozzi | 12/2021 |
7594 | 2^338109+108539 | 101781 | Stefano Morozzi | 03/2022 |
7595 | 2^338109-7261 | 101781 | Stefano Morozzi | 03/2022 |
7596 | 2^338109-131961 | 101781 | Stefano Morozzi | 03/2022 |
7597 | 2^338108+39585 | 101781 | Stefano Morozzi | 05/2022 |
7598 | 2^338109+38147 | 101781 | Stefano Morozzi | 05/2022 |
7599 | 2^338108+17301 | 101781 | Stefano Morozzi | 09/2022 |
7600 | 2^338108-65859 | 101781 | Stefano Morozzi | 01/2023 |
7602 | 2^338105+79599 | 101780 | Stefano Morozzi | 01/2022 |
7603 | 2^338103-180675 | 101780 | Stefano Morozzi | 02/2022 |
7604 | 2^338103+19499 | 101780 | Stefano Morozzi | 09/2022 |
7605 | 2^338103-165319 | 101780 | Stefano Morozzi | 01/2023 |
7606 | 2^338100-100389 | 101779 | Stefano Morozzi | 12/2021 |
7607 | 2^338100+27595 | 101779 | Stefano Morozzi | 12/2021 |
7608 | 2^338101+101139 | 101779 | Stefano Morozzi | 12/2021 |
7609 | 2^338101+134985 | 101779 | Stefano Morozzi | 03/2022 |
7610 | 2^338102+186135 | 101779 | Stefano Morozzi | 03/2022 |
7611 | 2^338100+36885 | 101779 | Stefano Morozzi | 04/2022 |
7612 | 2^338102-8151 | 101779 | Stefano Morozzi | 04/2022 |
7613 | 2^338100+90637 | 101779 | Stefano Morozzi | 06/2022 |
7614 | 2^338101+68505 | 101779 | Stefano Morozzi | 09/2022 |
7615 | 2^338100-42867 | 101779 | Stefano Morozzi | 02/2023 |
7616 | 2^338097+100229 | 101778 | Stefano Morozzi | 11/2021 |
7617 | 2^338097-25695 | 101778 | Stefano Morozzi | 12/2021 |
7618 | 2^338098-110043 | 101778 | Stefano Morozzi | 06/2022 |
7619 | 2^338099-191389 | 101778 | Stefano Morozzi | 01/2023 |
7620 | 2^338093-128403 | 101777 | Stefano Morozzi | 01/2022 |
7621 | 2^338093+33051 | 101777 | Stefano Morozzi | 02/2022 |
7622 | 2^338094+135555 | 101777 | Stefano Morozzi | 03/2022 |
7623 | 2^338095-32395 | 101777 | Stefano Morozzi | 03/2022 |
7624 | 2^338090-175353 | 101776 | Stefano Morozzi | 12/2021 |
7625 | 2^338090+33277 | 101776 | Stefano Morozzi | 02/2022 |
7626 | 2^338091-105601 | 101776 | Stefano Morozzi | 02/2022 |
7627 | 2^338091-32127 | 101776 | Stefano Morozzi | 03/2022 |
7628 | 2^338092+12873 | 101776 | Stefano Morozzi | 04/2022 |
7629 | 2^338091-58485 | 101776 | Stefano Morozzi | 04/2022 |
7630 | 2^338086+177643 | 101775 | Stefano Morozzi | 12/2021 |
7631 | 2^338089+82905 | 101775 | Stefano Morozzi | 02/2022 |
7632 | 2^338088+87565 | 101775 | Stefano Morozzi | 04/2022 |
7633 | 2^338088-166205 | 101775 | Stefano Morozzi | 01/2023 |
7634 | 2^338089-140053 | 101775 | Stefano Morozzi | 01/2023 |
7635 | 2^338087+124935 | 101775 | Stefano Morozzi | 02/2023 |
7636 | 2^338085-3301 | 101774 | Stefano Morozzi | 01/2022 |
7637 | 2^338084+108691 | 101774 | Stefano Morozzi | 03/2022 |
7638 | 2^338083+164369 | 101774 | Stefano Morozzi | 05/2022 |
7639 | 2^338080+107521 | 101773 | Stefano Morozzi | 02/2022 |
7640 | 2^338080-156917 | 101773 | Stefano Morozzi | 03/2022 |
7641 | 2^338081+199775 | 101773 | Stefano Morozzi | 02/2023 |
7642 | 2^338076+62311 | 101772 | Stefano Morozzi | 04/2022 |
7643 | 2^338079+161745 | 101772 | Stefano Morozzi | 04/2022 |
7644 | 2^338078-60075 | 101772 | Stefano Morozzi | 06/2022 |
7645 | 2^338079+167079 | 101772 | Stefano Morozzi | 09/2022 |
7646 | 2^338076+122535 | 101772 | Stefano Morozzi | 11/2022 |
7647 | 2^338077+95619 | 101772 | Stefano Morozzi | 11/2022 |
7648 | 2^338078+20539 | 101772 | Stefano Morozzi | 11/2022 |
7649 | 2^338076-36813 | 101772 | Stefano Morozzi | 12/2022 |
7650 | 2^338078-64911 | 101772 | Stefano Morozzi | 01/2023 |
7651 | 2^338073-77971 | 101771 | Stefano Morozzi | 01/2022 |
7652 | 2^338074+55579 | 101771 | Stefano Morozzi | 01/2022 |
7653 | 2^338073-81813 | 101771 | Stefano Morozzi | 03/2022 |
7654 | 2^338073+138645 | 101771 | Stefano Morozzi | 05/2022 |
7655 | 2^338075+148043 | 101771 | Stefano Morozzi | 11/2022 |
7656 | 2^338070-152607 | 101770 | Stefano Morozzi | 01/2022 |
7657 | 2^338070+138787 | 101770 | Stefano Morozzi | 05/2022 |
7658 | 2^338071+165249 | 101770 | Stefano Morozzi | 06/2022 |
7659 | 2^338070+70359 | 101770 | Stefano Morozzi | 11/2022 |
7660 | 2^338071+98573 | 101770 | Stefano Morozzi | 11/2022 |
7661 | 2^338069+79365 | 101769 | Stefano Morozzi | 01/2022 |
7662 | 2^338069+107571 | 101769 | Stefano Morozzi | 02/2022 |
7663 | 2^338068+73035 | 101769 | Stefano Morozzi | 11/2022 |
7664 | 2^338064+100087 | 101768 | Stefano Morozzi | 11/2021 |
7665 | 2^338064-83793 | 101768 | Stefano Morozzi | 04/2022 |
7666 | 2^338064+193701 | 101768 | Stefano Morozzi | 09/2022 |
7667 | 2^338065+199947 | 101768 | Stefano Morozzi | 02/2023 |
7668 | 2^338060-151047 | 101767 | Stefano Morozzi | 12/2021 |
7669 | 2^338060-130805 | 101767 | Stefano Morozzi | 02/2022 |
7670 | 2^338060-136593 | 101767 | Stefano Morozzi | 12/2022 |
7671 | 2^338062-15725 | 101767 | Stefano Morozzi | 01/2023 |
7672 | 2^338058-76415 | 101766 | Stefano Morozzi | 12/2021 |
7673 | 2^338057+83865 | 101766 | Stefano Morozzi | 03/2022 |
7674 | 2^338057+86997 | 101766 | Stefano Morozzi | 04/2022 |
7675 | 2^338058+188589 | 101766 | Stefano Morozzi | 05/2022 |
7676 | 2^338058+68089 | 101766 | Stefano Morozzi | 09/2022 |
7677 | 2^338059+121803 | 101766 | Stefano Morozzi | 11/2022 |
7678 | 2^338057-39021 | 101766 | Stefano Morozzi | 01/2023 |
7679 | 2^338056+50605 | 101765 | Stefano Morozzi | 11/2021 |
7680 | 2^338053+53231 | 101765 | Stefano Morozzi | 01/2022 |
7681 | 2^338054-180497 | 101765 | Stefano Morozzi | 02/2022 |
7682 | 2^338053+59891 | 101765 | Stefano Morozzi | 03/2022 |
7683 | 2^338056+33987 | 101765 | Stefano Morozzi | 03/2022 |
7684 | 2^338055-157779 | 101765 | Stefano Morozzi | 03/2022 |
7685 | 2^338056+90307 | 101765 | Stefano Morozzi | 06/2022 |
7686 | 2^338055+124443 | 101765 | Stefano Morozzi | 02/2023 |
7687 | 2^338052-55373 | 101764 | Stefano Morozzi | 02/2022 |
7688 | 2^338050-138281 | 101764 | Stefano Morozzi | 12/2022 |
7689 | 2^338050+148959 | 101764 | Stefano Morozzi | 02/2023 |
7690 | 2^338051-118159 | 101764 | Stefano Morozzi | 02/2023 |
7691 | 2^338048+31185 | 101763 | Stefano Morozzi | 01/2022 |
7692 | 2^338047+31935 | 101763 | Stefano Morozzi | 02/2022 |
7693 | 2^338047+108011 | 101763 | Stefano Morozzi | 02/2022 |
7694 | 2^338049+56777 | 101763 | Stefano Morozzi | 02/2022 |
7695 | 2^338049-7531 | 101763 | Stefano Morozzi | 03/2022 |
7696 | 2^338048-304019 | 101763 | Harrison Mesh | 06/2022 |
7697 | 2^338049+191291 | 101763 | Stefano Morozzi | 06/2022 |
7698 | 2^338047-187699 | 101763 | Stefano Morozzi | 12/2022 |
7699 | 2^338047-66405 | 101763 | Stefano Morozzi | 01/2023 |
7700 | 2^338049-192633 | 101763 | Stefano Morozzi | 02/2023 |
7701 | 2^338046-25841 | 101762 | Stefano Morozzi | 12/2021 |
7702 | 2^338046-2285 | 101762 | Stefano Morozzi | 12/2021 |
7703 | 2^338046-177851 | 101762 | Stefano Morozzi | 01/2022 |
7704 | 2^338043+84045 | 101762 | Stefano Morozzi | 03/2022 |
7705 | 2^338046-57573 | 101762 | Stefano Morozzi | 03/2022 |
7706 | 2^338044-8177 | 101762 | Stefano Morozzi | 04/2022 |
7707 | 2^338045-58443 | 101762 | Stefano Morozzi | 04/2022 |
7708 | 2^338044+193497 | 101762 | Stefano Morozzi | 09/2022 |
7709 | 2^338043+45701 | 101762 | Stefano Morozzi | 11/2022 |
7710 | 2^338044-114197 | 101762 | Stefano Morozzi | 01/2023 |
7711 | 2^338042+194973 | 101761 | Stefano Morozzi | 11/2022 |
7712 | 2^338040-164483 | 101761 | Stefano Morozzi | 01/2023 |
7713 | 2^338038-57887 | 101760 | Stefano Morozzi | 04/2022 |
7714 | 2^338037+139169 | 101760 | Stefano Morozzi | 05/2022 |
7715 | 2^338037+188595 | 101760 | Stefano Morozzi | 05/2022 |
7716 | 2^338038-187241 | 101760 | Stefano Morozzi | 12/2022 |
7717 | 2^338039+124035 | 101760 | Stefano Morozzi | 02/2023 |
7718 | 2^338037-42523 | 101760 | Stefano Morozzi | 02/2023 |
7719 | 2^338034+125653 | 101759 | Stefano Morozzi | 11/2021 |
7720 | 2^338034-25211 | 101759 | Stefano Morozzi | 12/2021 |
7721 | 2^338033-154099 | 101759 | Stefano Morozzi | 02/2022 |
7722 | 2^338034-31803 | 101759 | Stefano Morozzi | 03/2022 |
7723 | 2^338033+162311 | 101759 | Stefano Morozzi | 04/2022 |
7724 | 2^338033-83071 | 101759 | Stefano Morozzi | 04/2022 |
7725 | 2^338035-158095 | 101759 | Stefano Morozzi | 04/2022 |
7726 | 2^338036-34193 | 101759 | Stefano Morozzi | 04/2022 |
7727 | 2^338036+42873 | 101759 | Stefano Morozzi | 09/2022 |
7728 | 2^338036+93373 | 101759 | Stefano Morozzi | 09/2022 |
7729 | 2^338035+146129 | 101759 | Stefano Morozzi | 11/2022 |
7730 | 2^338036+23983 | 101759 | Stefano Morozzi | 11/2022 |
7731 | 2^338036+170433 | 101759 | Stefano Morozzi | 11/2022 |
7732 | 2^338031+79989 | 101758 | Stefano Morozzi | 01/2022 |
7733 | 2^338032+158073 | 101758 | Stefano Morozzi | 02/2022 |
7734 | 2^338030-54371 | 101758 | Stefano Morozzi | 02/2022 |
7735 | 2^338032-180747 | 101758 | Stefano Morozzi | 02/2022 |
7736 | 2^338029-27909 | 101757 | Stefano Morozzi | 01/2022 |
7737 | 2^338027+70475 | 101757 | Stefano Morozzi | 11/2022 |
7738 | 2^338028-38705 | 101757 | Stefano Morozzi | 12/2022 |
7739 | 2^338028-140459 | 101757 | Stefano Morozzi | 01/2023 |
7740 | 2^338024-128495 | 101756 | Stefano Morozzi | 01/2022 |
7741 | 2^338025+34785 | 101756 | Stefano Morozzi | 03/2022 |
7742 | 2^338025-181765 | 101756 | Stefano Morozzi | 03/2022 |
7743 | 2^338024+63765 | 101756 | Stefano Morozzi | 05/2022 |
7744 | 2^338023-160621 | 101756 | Stefano Morozzi | 06/2022 |
7745 | 2^338026+117553 | 101756 | Stefano Morozzi | 09/2022 |
7746 | 2^338020-52437 | 101755 | Stefano Morozzi | 12/2021 |
7747 | 2^338021+160241 | 101755 | Stefano Morozzi | 03/2022 |
7748 | 2^338022+185845 | 101755 | Stefano Morozzi | 03/2022 |
7749 | 2^338021+189587 | 101755 | Stefano Morozzi | 05/2022 |
7750 | 2^338021-85891 | 101755 | Stefano Morozzi | 06/2022 |