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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Rank |
Probable prime |
Digits (> 50000) |
Who ? |
When ? |
7251 | 2^338381-35539 | 101863 | Stefano Morozzi | 06/2022 |
7252 | 2^338378-125841 | 101862 | Stefano Morozzi | 12/2021 |
7253 | 2^338375+27815 | 101862 | Stefano Morozzi | 01/2022 |
7254 | 2^338375-28509 | 101862 | Stefano Morozzi | 01/2022 |
7255 | 2^338375+29985 | 101862 | Stefano Morozzi | 01/2022 |
7256 | 2^338377+157881 | 101862 | Stefano Morozzi | 02/2022 |
7257 | 2^338375+59589 | 101862 | Stefano Morozzi | 03/2022 |
7258 | 2^338378+36399 | 101862 | Stefano Morozzi | 04/2022 |
7259 | 2^338378-159773 | 101862 | Stefano Morozzi | 04/2022 |
7260 | 2^338378+14883 | 101862 | Stefano Morozzi | 05/2022 |
7261 | 2^338376+140173 | 101862 | Stefano Morozzi | 06/2022 |
7262 | 2^338375+18761 | 101862 | Stefano Morozzi | 09/2022 |
7263 | 2^338373-75103 | 101861 | Stefano Morozzi | 12/2021 |
7264 | 2^338372+128877 | 101861 | Stefano Morozzi | 01/2022 |
7265 | 2^338374-28731 | 101861 | Stefano Morozzi | 01/2022 |
7266 | 2^338374-128427 | 101861 | Stefano Morozzi | 01/2022 |
7267 | 2^338372+37875 | 101861 | Stefano Morozzi | 04/2022 |
7268 | 2^338373+161541 | 101861 | Stefano Morozzi | 04/2022 |
7269 | 2^338374+37759 | 101861 | Stefano Morozzi | 04/2022 |
7270 | 2^338372+93235 | 101861 | Stefano Morozzi | 09/2022 |
7271 | 2^338373-63273 | 101861 | Stefano Morozzi | 12/2022 |
7272 | 2^338369+29427 | 101860 | Stefano Morozzi | 01/2022 |
7273 | 2^338370+179133 | 101860 | Stefano Morozzi | 01/2022 |
7274 | 2^338369+131501 | 101860 | Stefano Morozzi | 01/2022 |
7275 | 2^338369+181649 | 101860 | Stefano Morozzi | 02/2022 |
7276 | 2^338370-4787 | 101860 | Stefano Morozzi | 02/2022 |
7277 | 2^338371-133491 | 101860 | Stefano Morozzi | 04/2022 |
7278 | 2^338371+42023 | 101860 | Stefano Morozzi | 09/2022 |
7279 | 2^338371+145323 | 101860 | Stefano Morozzi | 11/2022 |
7280 | 2^338371-138145 | 101860 | Stefano Morozzi | 12/2022 |
7287 | 2^338368-20369 | 101859 | Enzo Doria | 06/2013 |
7288 | 2^338366+74179 | 101859 | Enzo Doria | 04/2016 |
7281 | 2^338366+53853 | 101859 | Stefano Morozzi | 01/2022 |
7282 | 2^338365-31665 | 101859 | Stefano Morozzi | 03/2022 |
7283 | 2^338368-156345 | 101859 | Stefano Morozzi | 03/2022 |
7284 | 2^338366-159867 | 101859 | Stefano Morozzi | 04/2022 |
7285 | 2^338368-63509 | 101859 | Stefano Morozzi | 12/2022 |
7286 | 2^338365-190975 | 101859 | Stefano Morozzi | 01/2023 |
7289 | 2^338362-180845 | 101858 | Stefano Morozzi | 02/2022 |
7290 | 2^338364-155769 | 101858 | Stefano Morozzi | 02/2022 |
7291 | 2^338362+142843 | 101858 | Stefano Morozzi | 09/2022 |
7292 | 2^338362+170019 | 101858 | Stefano Morozzi | 11/2022 |
7293 | 2^338361-100875 | 101857 | Stefano Morozzi | 12/2021 |
7294 | 2^338361+154169 | 101857 | Stefano Morozzi | 01/2022 |
7295 | 2^338359-189645 | 101857 | Stefano Morozzi | 01/2023 |
7296 | 2^338356+101271 | 101856 | Stefano Morozzi | 12/2021 |
7297 | 2^338356+53383 | 101856 | Stefano Morozzi | 01/2022 |
7298 | 2^338355+59393 | 101856 | Stefano Morozzi | 03/2022 |
7299 | 2^338356+60775 | 101856 | Stefano Morozzi | 03/2022 |
7300 | 2^338356-106257 | 101856 | Stefano Morozzi | 03/2022 |
7301 | 2^338357-58921 | 101856 | Stefano Morozzi | 04/2022 |
7302 | 2^338356+94605 | 101856 | Stefano Morozzi | 09/2022 |
7303 | 2^338356+117813 | 101856 | Stefano Morozzi | 09/2022 |
7304 | 2^338358-38475 | 101856 | Stefano Morozzi | 12/2022 |
7305 | 2^338353-190291 | 101855 | Stefano Morozzi | 01/2023 |
7306 | 2^338350-152933 | 101854 | Stefano Morozzi | 01/2022 |
7307 | 2^338350+6337 | 101854 | Stefano Morozzi | 01/2022 |
7308 | 2^338350+168759 | 101854 | Stefano Morozzi | 09/2022 |
7311 | 27088^5755+5755^27088 | 101853 | Hans Havermann | 01/2019 |
7309 | 2^338347+125901 | 101853 | Stefano Morozzi | 11/2021 |
7310 | 2^338346-10643 | 101853 | Stefano Morozzi | 06/2022 |
7312 | 2^338343+152271 | 101852 | Stefano Morozzi | 12/2021 |
7313 | 2^338345+154107 | 101852 | Stefano Morozzi | 01/2022 |
7314 | 2^338342+155397 | 101852 | Stefano Morozzi | 01/2022 |
7315 | 2^338342-130767 | 101852 | Stefano Morozzi | 02/2022 |
7316 | 2^338345-30123 | 101852 | Stefano Morozzi | 02/2022 |
7317 | 2^338345+35747 | 101852 | Stefano Morozzi | 03/2022 |
7318 | 2^338345-133131 | 101852 | Stefano Morozzi | 04/2022 |
7319 | 2^338345-134559 | 101852 | Stefano Morozzi | 04/2022 |
7320 | 2^338342+170073 | 101852 | Stefano Morozzi | 11/2022 |
7321 | 2^338344+46567 | 101852 | Stefano Morozzi | 11/2022 |
7322 | 2^338344+97141 | 101852 | Stefano Morozzi | 11/2022 |
7323 | 2^338342-162213 | 101852 | Stefano Morozzi | 12/2022 |
7324 | 2^338339+2753 | 101851 | Stefano Morozzi | 12/2021 |
7325 | 2^338341+128415 | 101851 | Stefano Morozzi | 01/2022 |
7326 | 2^338338+2677 | 101850 | Stefano Morozzi | 12/2021 |
7327 | 2^338336+54607 | 101850 | Stefano Morozzi | 01/2022 |
7328 | 2^338338+109999 | 101850 | Stefano Morozzi | 03/2022 |
7329 | 2^338336+161575 | 101850 | Stefano Morozzi | 04/2022 |
7330 | 2^338335+51975 | 101849 | Stefano Morozzi | 12/2021 |
7331 | 2^338335-152607 | 101849 | Stefano Morozzi | 01/2022 |
7332 | 2^338334+55273 | 101849 | Stefano Morozzi | 01/2022 |
7333 | 2^338332+34315 | 101849 | Stefano Morozzi | 03/2022 |
7334 | 2^338335+158759 | 101849 | Stefano Morozzi | 03/2022 |
7335 | 2^338332+67621 | 101849 | Stefano Morozzi | 09/2022 |
7336 | 2^338332-66099 | 101849 | Stefano Morozzi | 01/2023 |
7337 | 2^338334-191043 | 101849 | Stefano Morozzi | 01/2023 |
7338 | 2^338331+83403 | 101848 | Stefano Morozzi | 02/2022 |
7339 | 2^338330-110865 | 101848 | Stefano Morozzi | 06/2022 |
7340 | 2^338330+71047 | 101848 | Stefano Morozzi | 11/2022 |
7341 | 2^338328-5295 | 101847 | Stefano Morozzi | 02/2022 |
7342 | 2^338327+143585 | 101847 | Stefano Morozzi | 09/2022 |
7343 | 2^338324-179667 | 101846 | Stefano Morozzi | 02/2022 |
7344 | 2^338322+21903 | 101846 | Stefano Morozzi | 11/2022 |
7345 | 2^338324+98047 | 101846 | Stefano Morozzi | 11/2022 |
7346 | 2^338323-87729 | 101846 | Stefano Morozzi | 12/2022 |
7347 | 2^338322-16667 | 101846 | Stefano Morozzi | 01/2023 |
7348 | 2^338325-142159 | 101846 | Stefano Morozzi | 02/2023 |
7349 | 2^338316-175857 | 101844 | Stefano Morozzi | 12/2021 |
7350 | 2^338318+54405 | 101844 | Stefano Morozzi | 01/2022 |
7351 | 2^338316+32961 | 101844 | Stefano Morozzi | 02/2022 |
7352 | 2^338317+68175 | 101844 | Stefano Morozzi | 09/2022 |
7353 | 2^338318-86171 | 101844 | Stefano Morozzi | 12/2022 |
7354 | 2^338315-178635 | 101843 | Stefano Morozzi | 01/2022 |
7355 | 2^338315+34899 | 101843 | Stefano Morozzi | 03/2022 |
7356 | 2^338314-106973 | 101843 | Stefano Morozzi | 03/2022 |
7357 | 2^338313+170411 | 101843 | Stefano Morozzi | 11/2022 |
7358 | 2^338315-88807 | 101843 | Stefano Morozzi | 12/2022 |
7359 | 2^338311-51799 | 101842 | Stefano Morozzi | 12/2021 |
7360 | 2^338309+157259 | 101842 | Stefano Morozzi | 02/2022 |
7361 | 2^338310+40903 | 101842 | Stefano Morozzi | 06/2022 |
7362 | 2^338309-168051 | 101842 | Stefano Morozzi | 02/2023 |
7363 | 2^338308-55853 | 101841 | Stefano Morozzi | 02/2022 |
7364 | 2^338307+134871 | 101841 | Stefano Morozzi | 03/2022 |
7365 | 2^338307+19689 | 101841 | Stefano Morozzi | 09/2022 |
7366 | 2^338308+66873 | 101841 | Stefano Morozzi | 09/2022 |
7367 | 2^338306+124399 | 101841 | Stefano Morozzi | 02/2023 |
7368 | 2^338306-91913 | 101841 | Stefano Morozzi | 02/2023 |
7369 | 2^338304+78757 | 101840 | Stefano Morozzi | 01/2022 |
7370 | 2^338304-5807 | 101840 | Stefano Morozzi | 02/2022 |
7371 | 2^338305+110879 | 101840 | Stefano Morozzi | 03/2022 |
7372 | 2^338304+91147 | 101840 | Stefano Morozzi | 06/2022 |
7373 | 2^338304-64475 | 101840 | Stefano Morozzi | 01/2023 |
7374 | 2^338299+85611 | 101839 | Stefano Morozzi | 03/2022 |
7375 | 2^338299-189985 | 101839 | Stefano Morozzi | 01/2023 |
7376 | 2^338298-25571 | 101838 | Stefano Morozzi | 12/2021 |
7377 | 2^338297+35547 | 101838 | Stefano Morozzi | 03/2022 |
7378 | 2^338298+111199 | 101838 | Stefano Morozzi | 03/2022 |
7379 | 2^338297+145455 | 101838 | Stefano Morozzi | 11/2022 |
7380 | 2^338297-166285 | 101838 | Stefano Morozzi | 01/2023 |
7381 | 2^338294-150711 | 101837 | Stefano Morozzi | 12/2021 |
7382 | 2^338294+177597 | 101837 | Stefano Morozzi | 12/2021 |
7383 | 2^338294-177807 | 101837 | Stefano Morozzi | 01/2022 |
7384 | 2^338295-52929 | 101837 | Stefano Morozzi | 01/2022 |
7385 | 2^338293+37407 | 101837 | Stefano Morozzi | 04/2022 |
7386 | 2^338292+40573 | 101837 | Stefano Morozzi | 06/2022 |
7387 | 2^338294+172425 | 101837 | Stefano Morozzi | 11/2022 |
7388 | 2^338293-191799 | 101837 | Stefano Morozzi | 02/2023 |
7389 | 2^338289+30957 | 101836 | Stefano Morozzi | 01/2022 |
7390 | 2^338291+131825 | 101836 | Stefano Morozzi | 02/2022 |
7391 | 2^338291+110111 | 101836 | Stefano Morozzi | 03/2022 |
7392 | 2^338290-156423 | 101836 | Stefano Morozzi | 03/2022 |
7393 | 2^338291-157845 | 101836 | Stefano Morozzi | 03/2022 |
7394 | 2^338290+69243 | 101836 | Stefano Morozzi | 09/2022 |
7395 | 2^338291-189327 | 101836 | Stefano Morozzi | 01/2023 |
7396 | 2^338291+74079 | 101836 | Stefano Morozzi | 02/2023 |
7397 | 2^338288+26623 | 101835 | Stefano Morozzi | 12/2021 |
7398 | 2^338286+33325 | 101835 | Stefano Morozzi | 02/2022 |
7399 | 2^338287+132633 | 101835 | Stefano Morozzi | 02/2022 |
7400 | 2^338287+157149 | 101835 | Stefano Morozzi | 02/2022 |
7401 | 2^338288-107193 | 101835 | Stefano Morozzi | 03/2022 |
7402 | 2^338286-83333 | 101835 | Stefano Morozzi | 04/2022 |
7403 | 2^338287+114425 | 101835 | Stefano Morozzi | 05/2022 |
7404 | 2^338288+194403 | 101835 | Stefano Morozzi | 09/2022 |
7405 | 2^338288-113177 | 101835 | Stefano Morozzi | 12/2022 |
7406 | 2^338288-65747 | 101835 | Stefano Morozzi | 01/2023 |
7407 | 2^338285+82131 | 101834 | Stefano Morozzi | 02/2022 |
7408 | 2^338284-104217 | 101834 | Stefano Morozzi | 02/2022 |
7409 | 2^338282-84533 | 101834 | Stefano Morozzi | 04/2022 |
7410 | 2^338283+67545 | 101834 | Stefano Morozzi | 09/2022 |
7411 | 2^338283-65439 | 101834 | Stefano Morozzi | 01/2023 |
7420 | 2^338280-19745 | 101833 | Enzo Doria | 06/2013 |
7412 | 2^338279-125947 | 101833 | Stefano Morozzi | 12/2021 |
7413 | 2^338280-50343 | 101833 | Stefano Morozzi | 12/2021 |
7414 | 2^338279+133331 | 101833 | Stefano Morozzi | 02/2022 |
7415 | 2^338281-54561 | 101833 | Stefano Morozzi | 02/2022 |
7416 | 2^338280+192063 | 101833 | Stefano Morozzi | 09/2022 |
7417 | 2^338281+18971 | 101833 | Stefano Morozzi | 09/2022 |
7418 | 2^338281-186711 | 101833 | Stefano Morozzi | 12/2022 |
7419 | 2^338281-91273 | 101833 | Stefano Morozzi | 01/2023 |
7421 | 2^338278+188215 | 101832 | Stefano Morozzi | 05/2022 |
7422 | 2^338273+181101 | 101831 | Stefano Morozzi | 01/2022 |
7423 | 2^338275+32909 | 101831 | Stefano Morozzi | 02/2022 |
7424 | 2^338272+166431 | 101831 | Stefano Morozzi | 06/2022 |
7425 | 2^338272+22011 | 101831 | Stefano Morozzi | 11/2022 |
7426 | 2^338275+148271 | 101831 | Stefano Morozzi | 11/2022 |
7427 | 2^338270-135725 | 101830 | Stefano Morozzi | 06/2022 |
7428 | 2^338269-136951 | 101830 | Stefano Morozzi | 12/2022 |
7429 | 2^338270-192701 | 101830 | Stefano Morozzi | 02/2023 |
7430 | 2^338271-42831 | 101830 | Stefano Morozzi | 02/2023 |
7431 | 2^338266+110665 | 101829 | Stefano Morozzi | 03/2022 |
7432 | 2^338267+110481 | 101829 | Stefano Morozzi | 03/2022 |
7433 | 2^338267-166035 | 101829 | Stefano Morozzi | 01/2023 |
7434 | 2^338265-154893 | 101828 | Stefano Morozzi | 02/2022 |
7435 | 2^338264+163611 | 101828 | Stefano Morozzi | 05/2022 |
7436 | 2^338263-62767 | 101828 | Stefano Morozzi | 12/2022 |
7437 | 2^338261-188119 | 101827 | Stefano Morozzi | 12/2022 |
7438 | 2^338259-40327 | 101827 | Stefano Morozzi | 01/2023 |
7439 | 2^338256+5223 | 101826 | Stefano Morozzi | 01/2022 |
7440 | 2^338257+178425 | 101826 | Stefano Morozzi | 01/2022 |
7441 | 2^338256-180569 | 101826 | Stefano Morozzi | 02/2022 |
7442 | 2^338257-5965 | 101826 | Stefano Morozzi | 02/2022 |
7443 | 2^338258-9225 | 101826 | Stefano Morozzi | 04/2022 |
7444 | 2^338255-127021 | 101825 | Stefano Morozzi | 12/2021 |
7445 | 2^338253+159005 | 101825 | Stefano Morozzi | 03/2022 |
7446 | 2^338253+64817 | 101825 | Stefano Morozzi | 05/2022 |
7447 | 2^338254-85403 | 101825 | Stefano Morozzi | 06/2022 |
7448 | 2^338254+142947 | 101825 | Stefano Morozzi | 09/2022 |
7449 | 2^338253+121095 | 101825 | Stefano Morozzi | 11/2022 |
7450 | 2^338254+196725 | 101825 | Stefano Morozzi | 11/2022 |
7451 | 2^338254-91007 | 101825 | Stefano Morozzi | 01/2023 |
7452 | 2^338251+78975 | 101824 | Stefano Morozzi | 01/2022 |
7453 | 2^338252-178709 | 101824 | Stefano Morozzi | 01/2022 |
7454 | 2^338252+129703 | 101824 | Stefano Morozzi | 01/2022 |
7455 | 2^338252+132285 | 101824 | Stefano Morozzi | 02/2022 |
7456 | 2^338251-33381 | 101824 | Stefano Morozzi | 04/2022 |
7457 | 2^338252-13805 | 101824 | Stefano Morozzi | 12/2022 |
7458 | 2^338245-134755 | 101822 | Stefano Morozzi | 04/2022 |
7459 | 2^338244-59219 | 101822 | Stefano Morozzi | 04/2022 |
7460 | 2^338244-64703 | 101822 | Stefano Morozzi | 01/2023 |
7468 | (2^338242+2782)/2 | 101821 | Stefano Morozzi | 02/2021 |
7461 | 2^338241+1391 | 101821 | Stefano Morozzi | 12/2021 |
7462 | 2^338242+151195 | 101821 | Stefano Morozzi | 12/2021 |
7463 | 2^338240-152495 | 101821 | Stefano Morozzi | 12/2021 |
7464 | 2^338240+81745 | 101821 | Stefano Morozzi | 02/2022 |
7465 | 2^338241-155551 | 101821 | Stefano Morozzi | 02/2022 |
7466 | 2^338242-108237 | 101821 | Stefano Morozzi | 04/2022 |
7467 | 2^338242+43045 | 101821 | Stefano Morozzi | 09/2022 |
7469 | 2^338238-126735 | 101820 | Stefano Morozzi | 12/2021 |
7470 | 2^338238+183855 | 101820 | Stefano Morozzi | 03/2022 |
7471 | 2^338238+141013 | 101820 | Stefano Morozzi | 06/2022 |
7472 | 2^338237+97227 | 101820 | Stefano Morozzi | 11/2022 |
7473 | 2^338238+48429 | 101820 | Stefano Morozzi | 11/2022 |
7474 | 2^338234-80925 | 101819 | Stefano Morozzi | 02/2022 |
7475 | 2^338234-154593 | 101819 | Stefano Morozzi | 02/2022 |
7476 | 2^338235-131787 | 101819 | Stefano Morozzi | 03/2022 |
7477 | 2^338233+89781 | 101819 | Stefano Morozzi | 05/2022 |
7478 | 2^338235+169971 | 101819 | Stefano Morozzi | 11/2022 |
7479 | 2^338233-113875 | 101819 | Stefano Morozzi | 12/2022 |
7486 | (3*2^338236-1)/347 | 101818 | Lelio R Paula | 03/2014 |
7480 | 2^338232-175539 | 101818 | Stefano Morozzi | 12/2021 |
7481 | 2^338231+57345 | 101818 | Stefano Morozzi | 02/2022 |
7482 | 2^338232+36097 | 101818 | Stefano Morozzi | 03/2022 |
7483 | 2^338230+137403 | 101818 | Stefano Morozzi | 04/2022 |
7484 | 2^338231-59569 | 101818 | Stefano Morozzi | 04/2022 |
7485 | 2^338230-86633 | 101818 | Stefano Morozzi | 12/2022 |
7487 | 2^338228+159247 | 101817 | Stefano Morozzi | 03/2022 |
7488 | 2^338227-12631 | 101817 | Stefano Morozzi | 12/2022 |
7489 | (34*10^101815+191)/9 | 101816 | Robert Price | 08/2021 |
7490 | 2^338224+185461 | 101816 | Stefano Morozzi | 03/2022 |
7491 | 2^338224+62295 | 101816 | Stefano Morozzi | 04/2022 |
7492 | 2^338225+162645 | 101816 | Stefano Morozzi | 04/2022 |
7493 | 2^338223+144209 | 101816 | Stefano Morozzi | 09/2022 |
7500 | 6^130841+103 | 101815 | Lelio R Paula | 10/2016 |
7494 | 2^338220+150405 | 101815 | Stefano Morozzi | 11/2021 |
7495 | 2^338219-4147 | 101815 | Stefano Morozzi | 01/2022 |
7496 | 2^338221+83391 | 101815 | Stefano Morozzi | 02/2022 |
7497 | 2^338221+62937 | 101815 | Stefano Morozzi | 04/2022 |
7498 | 2^338220-65697 | 101815 | Stefano Morozzi | 01/2023 |
7499 | 2^338220-139505 | 101815 | Stefano Morozzi | 01/2023 |