## PRP Records

### Probable Primes Top 10000

#### (295461 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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See the Latest PRPs
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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 ? 8258 2^338426-19797 101877 Enzo Doria 06/2013 8251 2^338427-77797 101877 Stefano Morozzi 01/2022 8252 2^338427-178687 101877 Stefano Morozzi 01/2022 8253 2^338428-54873 101877 Stefano Morozzi 02/2022 8254 2^338425+41357 101877 Stefano Morozzi 06/2022 8255 2^338428+90855 101877 Stefano Morozzi 06/2022 8256 2^338428-39807 101877 Stefano Morozzi 01/2023 8257 2^338425-192381 101877 Stefano Morozzi 02/2023 8259 2^338422-188787 101876 Stefano Morozzi 12/2022 8260 2^338423-187755 101876 Stefano Morozzi 12/2022 8261 2^338422-115865 101876 Stefano Morozzi 01/2023 8262 2^338420-178829 101875 Stefano Morozzi 01/2022 8263 2^338421-105423 101875 Stefano Morozzi 02/2022 8264 2^338419-82761 101875 Stefano Morozzi 03/2022 8265 2^338420+193143 101875 Stefano Morozzi 09/2022 8266 2^338419+199641 101875 Stefano Morozzi 02/2023 8267 2^338420-143103 101875 Stefano Morozzi 02/2023 8268 2^338418-50903 101874 Stefano Morozzi 12/2021 8269 2^338418+158355 101874 Stefano Morozzi 02/2022 8270 2^338418+159339 101874 Stefano Morozzi 03/2022 8271 2^338416+14953 101874 Stefano Morozzi 05/2022 8272 2^338416+166051 101874 Stefano Morozzi 06/2022 8273 2^338418-138765 101874 Stefano Morozzi 12/2022 8274 2^338417+49737 101874 Stefano Morozzi 02/2023 8275 2^338413-125919 101873 Stefano Morozzi 12/2021 8276 2^338414+26083 101873 Stefano Morozzi 12/2021 8277 2^338412-152379 101873 Stefano Morozzi 12/2021 8278 2^338413+54797 101873 Stefano Morozzi 01/2022 8279 2^338412+157951 101873 Stefano Morozzi 02/2022 8280 2^338414+81627 101873 Stefano Morozzi 02/2022 8281 2^338413+133679 101873 Stefano Morozzi 03/2022 8282 2^338413+197735 101873 Stefano Morozzi 11/2022 8283 2^338413-114301 101873 Stefano Morozzi 01/2023 8284 11*32^67682+395 101873 Eric Chen 04/2023 8285 2^338409-52183 101872 Stefano Morozzi 12/2021 8286 2^338411-3789 101872 Stefano Morozzi 01/2022 8287 2^338409+173237 101872 Stefano Morozzi 11/2022 8288 2^338406-184175 101871 Stefano Morozzi 04/2022 8289 2^338405+94451 101871 Stefano Morozzi 09/2022 8290 2^338406-161217 101871 Stefano Morozzi 12/2022 8291 2^338406+199929 101871 Stefano Morozzi 02/2023 8292 2^338404+55717 101870 Stefano Morozzi 01/2022 8293 2^338403+36261 101870 Stefano Morozzi 04/2022 8294 2^338402-34431 101870 Stefano Morozzi 04/2022 8295 2^338404-159215 101870 Stefano Morozzi 04/2022 8296 2^338403+18363 101870 Stefano Morozzi 09/2022 8297 2^338403+170235 101870 Stefano Morozzi 11/2022 8298 2^338399+23045 101869 Stefano Morozzi 11/2022 8299 2^338399-65535 101869 Stefano Morozzi 01/2023 8300 2^338395-127449 101868 Stefano Morozzi 12/2021 8301 2^338398-127637 101868 Stefano Morozzi 01/2022 8302 2^338398-166533 101868 Stefano Morozzi 01/2023 8303 2^338394+100317 101867 Stefano Morozzi 11/2021 8304 2^338393-152749 101867 Stefano Morozzi 01/2022 8305 2^338393+163025 101867 Stefano Morozzi 04/2022 8306 2^338393+89229 101867 Stefano Morozzi 05/2022 8307 2^338393+99647 101867 Stefano Morozzi 02/2023 8308 2^338394-192471 101867 Stefano Morozzi 02/2023 8309 2^338390+76627 101866 Stefano Morozzi 12/2021 8310 2^338389-85081 101866 Stefano Morozzi 06/2022 8311 2^338390+148113 101866 Stefano Morozzi 11/2022 8312 2^338389-14253 101866 Stefano Morozzi 01/2023 8313 2^338390-114297 101866 Stefano Morozzi 01/2023 8314 2^338391-64225 101866 Stefano Morozzi 01/2023 8315 2^338389-16971 101866 Stefano Morozzi 02/2023 8316 2^338387-75685 101865 Stefano Morozzi 12/2021 8317 2^338388-53459 101865 Stefano Morozzi 01/2022 8318 2^338388-36575 101865 Stefano Morozzi 12/2022 8319 2^338385-190311 101865 Stefano Morozzi 01/2023 8320 2^338384+131563 101864 Stefano Morozzi 01/2022 8321 2^338382+109069 101864 Stefano Morozzi 03/2022 8322 2^338384+168987 101864 Stefano Morozzi 09/2022 8323 2^338383-42367 101864 Stefano Morozzi 02/2023 8324 2^338380+77125 101863 Stefano Morozzi 12/2021 8325 2^338381-35539 101863 Stefano Morozzi 06/2022 8326 2^338378-125841 101862 Stefano Morozzi 12/2021 8327 2^338375+27815 101862 Stefano Morozzi 01/2022 8328 2^338375-28509 101862 Stefano Morozzi 01/2022 8329 2^338375+29985 101862 Stefano Morozzi 01/2022 8330 2^338377+157881 101862 Stefano Morozzi 02/2022 8331 2^338375+59589 101862 Stefano Morozzi 03/2022 8332 2^338378+36399 101862 Stefano Morozzi 04/2022 8333 2^338378-159773 101862 Stefano Morozzi 04/2022 8334 2^338378+14883 101862 Stefano Morozzi 05/2022 8335 2^338376+140173 101862 Stefano Morozzi 06/2022 8336 2^338375+18761 101862 Stefano Morozzi 09/2022 8337 2^338373-75103 101861 Stefano Morozzi 12/2021 8338 2^338372+128877 101861 Stefano Morozzi 01/2022 8339 2^338374-28731 101861 Stefano Morozzi 01/2022 8340 2^338374-128427 101861 Stefano Morozzi 01/2022 8341 2^338372+37875 101861 Stefano Morozzi 04/2022 8342 2^338373+161541 101861 Stefano Morozzi 04/2022 8343 2^338374+37759 101861 Stefano Morozzi 04/2022 8344 2^338372+93235 101861 Stefano Morozzi 09/2022 8345 2^338373-63273 101861 Stefano Morozzi 12/2022 8346 2^338369+29427 101860 Stefano Morozzi 01/2022 8347 2^338370+179133 101860 Stefano Morozzi 01/2022 8348 2^338369+131501 101860 Stefano Morozzi 01/2022 8349 2^338369+181649 101860 Stefano Morozzi 02/2022 8350 2^338370-4787 101860 Stefano Morozzi 02/2022 8351 2^338371-133491 101860 Stefano Morozzi 04/2022 8352 2^338371+42023 101860 Stefano Morozzi 09/2022 8353 2^338371+145323 101860 Stefano Morozzi 11/2022 8354 2^338371-138145 101860 Stefano Morozzi 12/2022 8361 2^338368-20369 101859 Enzo Doria 06/2013 8362 2^338366+74179 101859 Enzo Doria 04/2016 8355 2^338366+53853 101859 Stefano Morozzi 01/2022 8356 2^338365-31665 101859 Stefano Morozzi 03/2022 8357 2^338368-156345 101859 Stefano Morozzi 03/2022 8358 2^338366-159867 101859 Stefano Morozzi 04/2022 8359 2^338368-63509 101859 Stefano Morozzi 12/2022 8360 2^338365-190975 101859 Stefano Morozzi 01/2023 8363 2^338362-180845 101858 Stefano Morozzi 02/2022 8364 2^338364-155769 101858 Stefano Morozzi 02/2022 8365 2^338362+142843 101858 Stefano Morozzi 09/2022 8366 2^338362+170019 101858 Stefano Morozzi 11/2022 8367 2^338361-100875 101857 Stefano Morozzi 12/2021 8368 2^338361+154169 101857 Stefano Morozzi 01/2022 8369 2^338359-189645 101857 Stefano Morozzi 01/2023 8370 2^338356+101271 101856 Stefano Morozzi 12/2021 8371 2^338356+53383 101856 Stefano Morozzi 01/2022 8372 2^338355+59393 101856 Stefano Morozzi 03/2022 8373 2^338356+60775 101856 Stefano Morozzi 03/2022 8374 2^338356-106257 101856 Stefano Morozzi 03/2022 8375 2^338357-58921 101856 Stefano Morozzi 04/2022 8376 2^338356+94605 101856 Stefano Morozzi 09/2022 8377 2^338356+117813 101856 Stefano Morozzi 09/2022 8378 2^338358-38475 101856 Stefano Morozzi 12/2022 8379 2^338353-190291 101855 Stefano Morozzi 01/2023 8380 2^338350-152933 101854 Stefano Morozzi 01/2022 8381 2^338350+6337 101854 Stefano Morozzi 01/2022 8382 2^338350+168759 101854 Stefano Morozzi 09/2022 8385 27088^5755+5755^27088 101853 Hans Havermann 01/2019 8383 2^338347+125901 101853 Stefano Morozzi 11/2021 8384 2^338346-10643 101853 Stefano Morozzi 06/2022 8386 2^338343+152271 101852 Stefano Morozzi 12/2021 8387 2^338345+154107 101852 Stefano Morozzi 01/2022 8388 2^338342+155397 101852 Stefano Morozzi 01/2022 8389 2^338342-130767 101852 Stefano Morozzi 02/2022 8390 2^338345-30123 101852 Stefano Morozzi 02/2022 8391 2^338345+35747 101852 Stefano Morozzi 03/2022 8392 2^338345-133131 101852 Stefano Morozzi 04/2022 8393 2^338345-134559 101852 Stefano Morozzi 04/2022 8394 2^338342+170073 101852 Stefano Morozzi 11/2022 8395 2^338344+46567 101852 Stefano Morozzi 11/2022 8396 2^338344+97141 101852 Stefano Morozzi 11/2022 8397 2^338342-162213 101852 Stefano Morozzi 12/2022 8398 2^338339+2753 101851 Stefano Morozzi 12/2021 8399 2^338341+128415 101851 Stefano Morozzi 01/2022 8400 2^338338+2677 101850 Stefano Morozzi 12/2021 8401 2^338336+54607 101850 Stefano Morozzi 01/2022 8402 2^338338+109999 101850 Stefano Morozzi 03/2022 8403 2^338336+161575 101850 Stefano Morozzi 04/2022 8404 2^338335+51975 101849 Stefano Morozzi 12/2021 8405 2^338335-152607 101849 Stefano Morozzi 01/2022 8406 2^338334+55273 101849 Stefano Morozzi 01/2022 8407 2^338332+34315 101849 Stefano Morozzi 03/2022 8408 2^338335+158759 101849 Stefano Morozzi 03/2022 8409 2^338332+67621 101849 Stefano Morozzi 09/2022 8410 2^338332-66099 101849 Stefano Morozzi 01/2023 8411 2^338334-191043 101849 Stefano Morozzi 01/2023 8412 2^338331+83403 101848 Stefano Morozzi 02/2022 8413 2^338330-110865 101848 Stefano Morozzi 06/2022 8414 2^338330+71047 101848 Stefano Morozzi 11/2022 8415 2^338328-5295 101847 Stefano Morozzi 02/2022 8416 2^338327+143585 101847 Stefano Morozzi 09/2022 8417 2^338324-179667 101846 Stefano Morozzi 02/2022 8418 2^338322+21903 101846 Stefano Morozzi 11/2022 8419 2^338324+98047 101846 Stefano Morozzi 11/2022 8420 2^338323-87729 101846 Stefano Morozzi 12/2022 8421 2^338322-16667 101846 Stefano Morozzi 01/2023 8422 2^338325-142159 101846 Stefano Morozzi 02/2023 8423 2^338316-175857 101844 Stefano Morozzi 12/2021 8424 2^338318+54405 101844 Stefano Morozzi 01/2022 8425 2^338316+32961 101844 Stefano Morozzi 02/2022 8426 2^338317+68175 101844 Stefano Morozzi 09/2022 8427 2^338318-86171 101844 Stefano Morozzi 12/2022 8428 2^338315-178635 101843 Stefano Morozzi 01/2022 8429 2^338315+34899 101843 Stefano Morozzi 03/2022 8430 2^338314-106973 101843 Stefano Morozzi 03/2022 8431 2^338313+170411 101843 Stefano Morozzi 11/2022 8432 2^338315-88807 101843 Stefano Morozzi 12/2022 8433 2^338311-51799 101842 Stefano Morozzi 12/2021 8434 2^338309+157259 101842 Stefano Morozzi 02/2022 8435 2^338310+40903 101842 Stefano Morozzi 06/2022 8436 2^338309-168051 101842 Stefano Morozzi 02/2023 8437 2^338308-55853 101841 Stefano Morozzi 02/2022 8438 2^338307+134871 101841 Stefano Morozzi 03/2022 8439 2^338307+19689 101841 Stefano Morozzi 09/2022 8440 2^338308+66873 101841 Stefano Morozzi 09/2022 8441 2^338306+124399 101841 Stefano Morozzi 02/2023 8442 2^338306-91913 101841 Stefano Morozzi 02/2023 8443 2^338304+78757 101840 Stefano Morozzi 01/2022 8444 2^338304-5807 101840 Stefano Morozzi 02/2022 8445 2^338305+110879 101840 Stefano Morozzi 03/2022 8446 2^338304+91147 101840 Stefano Morozzi 06/2022 8447 2^338304-64475 101840 Stefano Morozzi 01/2023 8448 2^338299+85611 101839 Stefano Morozzi 03/2022 8449 2^338299-189985 101839 Stefano Morozzi 01/2023 8450 2^338298-25571 101838 Stefano Morozzi 12/2021 8451 2^338297+35547 101838 Stefano Morozzi 03/2022 8452 2^338298+111199 101838 Stefano Morozzi 03/2022 8453 2^338297+145455 101838 Stefano Morozzi 11/2022 8454 2^338297-166285 101838 Stefano Morozzi 01/2023 8455 2^338294-150711 101837 Stefano Morozzi 12/2021 8456 2^338294+177597 101837 Stefano Morozzi 12/2021 8457 2^338294-177807 101837 Stefano Morozzi 01/2022 8458 2^338295-52929 101837 Stefano Morozzi 01/2022 8459 2^338293+37407 101837 Stefano Morozzi 04/2022 8460 2^338292+40573 101837 Stefano Morozzi 06/2022 8461 2^338294+172425 101837 Stefano Morozzi 11/2022 8462 2^338293-191799 101837 Stefano Morozzi 02/2023 8463 2^338289+30957 101836 Stefano Morozzi 01/2022 8464 2^338291+131825 101836 Stefano Morozzi 02/2022 8465 2^338291+110111 101836 Stefano Morozzi 03/2022 8466 2^338290-156423 101836 Stefano Morozzi 03/2022 8467 2^338291-157845 101836 Stefano Morozzi 03/2022 8468 2^338290+69243 101836 Stefano Morozzi 09/2022 8469 2^338291-189327 101836 Stefano Morozzi 01/2023 8470 2^338291+74079 101836 Stefano Morozzi 02/2023 8471 2^338288+26623 101835 Stefano Morozzi 12/2021 8472 2^338286+33325 101835 Stefano Morozzi 02/2022 8473 2^338287+132633 101835 Stefano Morozzi 02/2022 8474 2^338287+157149 101835 Stefano Morozzi 02/2022 8475 2^338288-107193 101835 Stefano Morozzi 03/2022 8476 2^338286-83333 101835 Stefano Morozzi 04/2022 8477 2^338287+114425 101835 Stefano Morozzi 05/2022 8478 2^338288+194403 101835 Stefano Morozzi 09/2022 8479 2^338288-113177 101835 Stefano Morozzi 12/2022 8480 2^338288-65747 101835 Stefano Morozzi 01/2023 8481 2^338285+82131 101834 Stefano Morozzi 02/2022 8482 2^338284-104217 101834 Stefano Morozzi 02/2022 8483 2^338282-84533 101834 Stefano Morozzi 04/2022 8484 2^338283+67545 101834 Stefano Morozzi 09/2022 8485 2^338283-65439 101834 Stefano Morozzi 01/2023 8494 2^338280-19745 101833 Enzo Doria 06/2013 8486 2^338279-125947 101833 Stefano Morozzi 12/2021 8487 2^338280-50343 101833 Stefano Morozzi 12/2021 8488 2^338279+133331 101833 Stefano Morozzi 02/2022 8489 2^338281-54561 101833 Stefano Morozzi 02/2022 8490 2^338280+192063 101833 Stefano Morozzi 09/2022 8491 2^338281+18971 101833 Stefano Morozzi 09/2022 8492 2^338281-186711 101833 Stefano Morozzi 12/2022 8493 2^338281-91273 101833 Stefano Morozzi 01/2023 8495 2^338278+188215 101832 Stefano Morozzi 05/2022 8496 2^338273+181101 101831 Stefano Morozzi 01/2022 8497 2^338275+32909 101831 Stefano Morozzi 02/2022 8498 2^338272+166431 101831 Stefano Morozzi 06/2022 8499 2^338272+22011 101831 Stefano Morozzi 11/2022 8500 2^338275+148271 101831 Stefano Morozzi 11/2022

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Created by  Henri Lifchitz & Renaud Lifchitz : October, 26 2000, last modification: July, 19 2024 15:29 (Time in France)

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