## PRP Records

### Probable Primes Top 10000

#### (295756 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 ? 8501 2^338336+54607 101850 Stefano Morozzi 01/2022 8502 2^338338+109999 101850 Stefano Morozzi 03/2022 8503 2^338336+161575 101850 Stefano Morozzi 04/2022 8504 2^338335+51975 101849 Stefano Morozzi 12/2021 8505 2^338335-152607 101849 Stefano Morozzi 01/2022 8506 2^338334+55273 101849 Stefano Morozzi 01/2022 8507 2^338332+34315 101849 Stefano Morozzi 03/2022 8508 2^338335+158759 101849 Stefano Morozzi 03/2022 8509 2^338332+67621 101849 Stefano Morozzi 09/2022 8510 2^338332-66099 101849 Stefano Morozzi 01/2023 8511 2^338334-191043 101849 Stefano Morozzi 01/2023 8512 2^338331+83403 101848 Stefano Morozzi 02/2022 8513 2^338330-110865 101848 Stefano Morozzi 06/2022 8514 2^338330+71047 101848 Stefano Morozzi 11/2022 8515 2^338328-5295 101847 Stefano Morozzi 02/2022 8516 2^338327+143585 101847 Stefano Morozzi 09/2022 8517 2^338324-179667 101846 Stefano Morozzi 02/2022 8518 2^338322+21903 101846 Stefano Morozzi 11/2022 8519 2^338324+98047 101846 Stefano Morozzi 11/2022 8520 2^338323-87729 101846 Stefano Morozzi 12/2022 8521 2^338322-16667 101846 Stefano Morozzi 01/2023 8522 2^338325-142159 101846 Stefano Morozzi 02/2023 8523 2^338316-175857 101844 Stefano Morozzi 12/2021 8524 2^338318+54405 101844 Stefano Morozzi 01/2022 8525 2^338316+32961 101844 Stefano Morozzi 02/2022 8526 2^338317+68175 101844 Stefano Morozzi 09/2022 8527 2^338318-86171 101844 Stefano Morozzi 12/2022 8528 2^338315-178635 101843 Stefano Morozzi 01/2022 8529 2^338315+34899 101843 Stefano Morozzi 03/2022 8530 2^338314-106973 101843 Stefano Morozzi 03/2022 8531 2^338313+170411 101843 Stefano Morozzi 11/2022 8532 2^338315-88807 101843 Stefano Morozzi 12/2022 8533 2^338311-51799 101842 Stefano Morozzi 12/2021 8534 2^338309+157259 101842 Stefano Morozzi 02/2022 8535 2^338310+40903 101842 Stefano Morozzi 06/2022 8536 2^338309-168051 101842 Stefano Morozzi 02/2023 8537 2^338308-55853 101841 Stefano Morozzi 02/2022 8538 2^338307+134871 101841 Stefano Morozzi 03/2022 8539 2^338307+19689 101841 Stefano Morozzi 09/2022 8540 2^338308+66873 101841 Stefano Morozzi 09/2022 8541 2^338306+124399 101841 Stefano Morozzi 02/2023 8542 2^338306-91913 101841 Stefano Morozzi 02/2023 8543 2^338304+78757 101840 Stefano Morozzi 01/2022 8544 2^338304-5807 101840 Stefano Morozzi 02/2022 8545 2^338305+110879 101840 Stefano Morozzi 03/2022 8546 2^338304+91147 101840 Stefano Morozzi 06/2022 8547 2^338304-64475 101840 Stefano Morozzi 01/2023 8548 2^338299+85611 101839 Stefano Morozzi 03/2022 8549 2^338299-189985 101839 Stefano Morozzi 01/2023 8550 2^338298-25571 101838 Stefano Morozzi 12/2021 8551 2^338297+35547 101838 Stefano Morozzi 03/2022 8552 2^338298+111199 101838 Stefano Morozzi 03/2022 8553 2^338297+145455 101838 Stefano Morozzi 11/2022 8554 2^338297-166285 101838 Stefano Morozzi 01/2023 8555 2^338294-150711 101837 Stefano Morozzi 12/2021 8556 2^338294+177597 101837 Stefano Morozzi 12/2021 8557 2^338294-177807 101837 Stefano Morozzi 01/2022 8558 2^338295-52929 101837 Stefano Morozzi 01/2022 8559 2^338293+37407 101837 Stefano Morozzi 04/2022 8560 2^338292+40573 101837 Stefano Morozzi 06/2022 8561 2^338294+172425 101837 Stefano Morozzi 11/2022 8562 2^338293-191799 101837 Stefano Morozzi 02/2023 8563 2^338289+30957 101836 Stefano Morozzi 01/2022 8564 2^338291+131825 101836 Stefano Morozzi 02/2022 8565 2^338291+110111 101836 Stefano Morozzi 03/2022 8566 2^338290-156423 101836 Stefano Morozzi 03/2022 8567 2^338291-157845 101836 Stefano Morozzi 03/2022 8568 2^338290+69243 101836 Stefano Morozzi 09/2022 8569 2^338291-189327 101836 Stefano Morozzi 01/2023 8570 2^338291+74079 101836 Stefano Morozzi 02/2023 8571 2^338288+26623 101835 Stefano Morozzi 12/2021 8572 2^338286+33325 101835 Stefano Morozzi 02/2022 8573 2^338287+132633 101835 Stefano Morozzi 02/2022 8574 2^338287+157149 101835 Stefano Morozzi 02/2022 8575 2^338288-107193 101835 Stefano Morozzi 03/2022 8576 2^338286-83333 101835 Stefano Morozzi 04/2022 8577 2^338287+114425 101835 Stefano Morozzi 05/2022 8578 2^338288+194403 101835 Stefano Morozzi 09/2022 8579 2^338288-113177 101835 Stefano Morozzi 12/2022 8580 2^338288-65747 101835 Stefano Morozzi 01/2023 8581 2^338285+82131 101834 Stefano Morozzi 02/2022 8582 2^338284-104217 101834 Stefano Morozzi 02/2022 8583 2^338282-84533 101834 Stefano Morozzi 04/2022 8584 2^338283+67545 101834 Stefano Morozzi 09/2022 8585 2^338283-65439 101834 Stefano Morozzi 01/2023 8594 2^338280-19745 101833 Enzo Doria 06/2013 8586 2^338279-125947 101833 Stefano Morozzi 12/2021 8587 2^338280-50343 101833 Stefano Morozzi 12/2021 8588 2^338279+133331 101833 Stefano Morozzi 02/2022 8589 2^338281-54561 101833 Stefano Morozzi 02/2022 8590 2^338280+192063 101833 Stefano Morozzi 09/2022 8591 2^338281+18971 101833 Stefano Morozzi 09/2022 8592 2^338281-186711 101833 Stefano Morozzi 12/2022 8593 2^338281-91273 101833 Stefano Morozzi 01/2023 8595 2^338278+188215 101832 Stefano Morozzi 05/2022 8596 2^338273+181101 101831 Stefano Morozzi 01/2022 8597 2^338275+32909 101831 Stefano Morozzi 02/2022 8598 2^338272+166431 101831 Stefano Morozzi 06/2022 8599 2^338272+22011 101831 Stefano Morozzi 11/2022 8600 2^338275+148271 101831 Stefano Morozzi 11/2022 8601 2^338270-135725 101830 Stefano Morozzi 06/2022 8602 2^338269-136951 101830 Stefano Morozzi 12/2022 8603 2^338270-192701 101830 Stefano Morozzi 02/2023 8604 2^338271-42831 101830 Stefano Morozzi 02/2023 8605 2^338266+110665 101829 Stefano Morozzi 03/2022 8606 2^338267+110481 101829 Stefano Morozzi 03/2022 8607 2^338267-166035 101829 Stefano Morozzi 01/2023 8608 2^338265-154893 101828 Stefano Morozzi 02/2022 8609 2^338264+163611 101828 Stefano Morozzi 05/2022 8610 2^338263-62767 101828 Stefano Morozzi 12/2022 8611 2^338261-188119 101827 Stefano Morozzi 12/2022 8612 2^338259-40327 101827 Stefano Morozzi 01/2023 8613 2^338256+5223 101826 Stefano Morozzi 01/2022 8614 2^338257+178425 101826 Stefano Morozzi 01/2022 8615 2^338256-180569 101826 Stefano Morozzi 02/2022 8616 2^338257-5965 101826 Stefano Morozzi 02/2022 8617 2^338258-9225 101826 Stefano Morozzi 04/2022 8618 2^338255-127021 101825 Stefano Morozzi 12/2021 8619 2^338253+159005 101825 Stefano Morozzi 03/2022 8620 2^338253+64817 101825 Stefano Morozzi 05/2022 8621 2^338254-85403 101825 Stefano Morozzi 06/2022 8622 2^338254+142947 101825 Stefano Morozzi 09/2022 8623 2^338253+121095 101825 Stefano Morozzi 11/2022 8624 2^338254+196725 101825 Stefano Morozzi 11/2022 8625 2^338254-91007 101825 Stefano Morozzi 01/2023 8626 2^338251+78975 101824 Stefano Morozzi 01/2022 8627 2^338252-178709 101824 Stefano Morozzi 01/2022 8628 2^338252+129703 101824 Stefano Morozzi 01/2022 8629 2^338252+132285 101824 Stefano Morozzi 02/2022 8630 2^338251-33381 101824 Stefano Morozzi 04/2022 8631 2^338252-13805 101824 Stefano Morozzi 12/2022 8632 2^338245-134755 101822 Stefano Morozzi 04/2022 8633 2^338244-59219 101822 Stefano Morozzi 04/2022 8634 2^338244-64703 101822 Stefano Morozzi 01/2023 8642 (2^338242+2782)/2 101821 Stefano Morozzi 02/2021 8635 2^338241+1391 101821 Stefano Morozzi 12/2021 8636 2^338242+151195 101821 Stefano Morozzi 12/2021 8637 2^338240-152495 101821 Stefano Morozzi 12/2021 8638 2^338240+81745 101821 Stefano Morozzi 02/2022 8639 2^338241-155551 101821 Stefano Morozzi 02/2022 8640 2^338242-108237 101821 Stefano Morozzi 04/2022 8641 2^338242+43045 101821 Stefano Morozzi 09/2022 8643 2^338238-126735 101820 Stefano Morozzi 12/2021 8644 2^338238+183855 101820 Stefano Morozzi 03/2022 8645 2^338238+141013 101820 Stefano Morozzi 06/2022 8646 2^338237+97227 101820 Stefano Morozzi 11/2022 8647 2^338238+48429 101820 Stefano Morozzi 11/2022 8648 2^338234-80925 101819 Stefano Morozzi 02/2022 8649 2^338234-154593 101819 Stefano Morozzi 02/2022 8650 2^338235-131787 101819 Stefano Morozzi 03/2022 8651 2^338233+89781 101819 Stefano Morozzi 05/2022 8652 2^338235+169971 101819 Stefano Morozzi 11/2022 8653 2^338233-113875 101819 Stefano Morozzi 12/2022 8660 (3*2^338236-1)/347 101818 Lelio R Paula 03/2014 8654 2^338232-175539 101818 Stefano Morozzi 12/2021 8655 2^338231+57345 101818 Stefano Morozzi 02/2022 8656 2^338232+36097 101818 Stefano Morozzi 03/2022 8657 2^338230+137403 101818 Stefano Morozzi 04/2022 8658 2^338231-59569 101818 Stefano Morozzi 04/2022 8659 2^338230-86633 101818 Stefano Morozzi 12/2022 8661 2^338228+159247 101817 Stefano Morozzi 03/2022 8662 2^338227-12631 101817 Stefano Morozzi 12/2022 8663 (34*10^101815+191)/9 101816 Robert Price 08/2021 8664 2^338224+185461 101816 Stefano Morozzi 03/2022 8665 2^338224+62295 101816 Stefano Morozzi 04/2022 8666 2^338225+162645 101816 Stefano Morozzi 04/2022 8667 2^338223+144209 101816 Stefano Morozzi 09/2022 8674 6^130841+103 101815 Lelio R Paula 10/2016 8668 2^338220+150405 101815 Stefano Morozzi 11/2021 8669 2^338219-4147 101815 Stefano Morozzi 01/2022 8670 2^338221+83391 101815 Stefano Morozzi 02/2022 8671 2^338221+62937 101815 Stefano Morozzi 04/2022 8672 2^338220-65697 101815 Stefano Morozzi 01/2023 8673 2^338220-139505 101815 Stefano Morozzi 01/2023 8675 2^338216+77473 101814 Stefano Morozzi 12/2021 8676 2^338218+155299 101814 Stefano Morozzi 01/2022 8677 2^338217-134745 101814 Stefano Morozzi 04/2022 8678 2^338218+73507 101814 Stefano Morozzi 11/2022 8679 2^338213-125631 101813 Stefano Morozzi 12/2021 8680 2^338215+25845 101813 Stefano Morozzi 12/2021 8681 2^338210-153537 101812 Stefano Morozzi 01/2022 8682 2^338209+60915 101812 Stefano Morozzi 03/2022 8683 2^338211-57297 101812 Stefano Morozzi 03/2022 8684 2^338211-110257 101812 Stefano Morozzi 06/2022 8685 2^338211+71549 101812 Stefano Morozzi 11/2022 8686 2^338208-178787 101811 Stefano Morozzi 01/2022 8687 2^338208+106153 101811 Stefano Morozzi 01/2022 8688 2^338207+16499 101811 Stefano Morozzi 06/2022 8689 2^338205+102471 101810 Stefano Morozzi 12/2021 8690 2^338199-176377 101809 Stefano Morozzi 12/2021 8691 2^338201-151233 101809 Stefano Morozzi 12/2021 8692 2^338202-152061 101809 Stefano Morozzi 12/2021 8693 2^338202+133785 101809 Stefano Morozzi 03/2022 8694 2^338200+135643 101809 Stefano Morozzi 03/2022 8695 2^338202+14169 101809 Stefano Morozzi 05/2022 8696 2^338202-85211 101809 Stefano Morozzi 06/2022 8697 2^338200+74265 101809 Stefano Morozzi 02/2023 8698 2^338196+121147 101808 Stefano Morozzi 11/2022 8699 2^338196+73551 101808 Stefano Morozzi 11/2022 8700 2^338194-175845 101807 Stefano Morozzi 12/2021 8701 2^338195+56771 101807 Stefano Morozzi 02/2022 8702 2^338195+162365 101807 Stefano Morozzi 04/2022 8703 2^338194+67497 101807 Stefano Morozzi 09/2022 8704 2^338193-116335 101807 Stefano Morozzi 01/2023 8705 2^338194-15585 101807 Stefano Morozzi 01/2023 8706 2^338192+130387 101806 Stefano Morozzi 01/2022 8707 2^338190+89359 101806 Stefano Morozzi 05/2022 8708 2^338189+144605 101806 Stefano Morozzi 09/2022 8709 2^338190-113537 101806 Stefano Morozzi 12/2022 8710 2^338186+127245 101805 Stefano Morozzi 12/2021 8711 2^338186-130013 101805 Stefano Morozzi 02/2022 8712 2^338186+39235 101805 Stefano Morozzi 05/2022 8713 2^338185+77315 101804 Stefano Morozzi 12/2021 8714 2^338185+102519 101804 Stefano Morozzi 12/2021 8715 2^338183-76539 101804 Stefano Morozzi 12/2021 8716 2^338185+104489 101804 Stefano Morozzi 01/2022 8717 2^338179+35361 101803 Stefano Morozzi 03/2022 8718 2^338181+64235 101803 Stefano Morozzi 05/2022 8719 2^338181+94047 101803 Stefano Morozzi 09/2022 8720 2^338180+146131 101803 Stefano Morozzi 11/2022 8721 2^338179+123399 101803 Stefano Morozzi 11/2022 8722 2^338182-42425 101803 Stefano Morozzi 02/2023 8723 2^338177+51807 101802 Stefano Morozzi 12/2021 8724 2^338177+107385 101802 Stefano Morozzi 02/2022 8725 2^338178+34287 101802 Stefano Morozzi 03/2022 8726 2^338178+184207 101802 Stefano Morozzi 03/2022 8727 2^338177-108901 101802 Stefano Morozzi 04/2022 8728 2^338177+141569 101802 Stefano Morozzi 06/2022 8729 2^338176+46221 101802 Stefano Morozzi 11/2022 8730 2^338175+25161 101801 Stefano Morozzi 11/2021 8731 2^338173-27901 101801 Stefano Morozzi 01/2022 8732 2^338174+23217 101801 Stefano Morozzi 11/2022 8733 2^338174+23793 101801 Stefano Morozzi 11/2022 8734 2^338173-36183 101801 Stefano Morozzi 12/2022 8735 2^338173-137053 101801 Stefano Morozzi 12/2022 8736 2^338174-36797 101801 Stefano Morozzi 12/2022 8737 2^338175-166509 101801 Stefano Morozzi 01/2023 8738 2^338169-155965 101800 Stefano Morozzi 02/2022 8739 2^338172+95797 101800 Stefano Morozzi 11/2022 8740 2^338171-117987 101800 Stefano Morozzi 02/2023 8741 2^338166+183237 101799 Stefano Morozzi 02/2022 8742 2^338168-157835 101799 Stefano Morozzi 03/2022 8743 2^338166+137107 101799 Stefano Morozzi 04/2022 8744 2^338166+22897 101799 Stefano Morozzi 11/2022 8745 2^338166-161123 101799 Stefano Morozzi 12/2022 8746 2^338165-152139 101798 Stefano Morozzi 12/2021 8747 2^338163-178947 101798 Stefano Morozzi 02/2022 8748 2^338164-64329 101798 Stefano Morozzi 01/2023 8749 2^338159-127575 101797 Stefano Morozzi 12/2021 8750 2^338161+154259 101797 Stefano Morozzi 01/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: September, 12 2024 08:27 (Time in France)

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