Henri & Renaud Lifchitz's PRP Top records

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 ?
6251	2^338659+15543	101947	Stefano Morozzi	05/2022
6252	2^338654+51027	101946	Stefano Morozzi	12/2021
6253	2^338656-152115	101946	Stefano Morozzi	12/2021
6254	2^338654+32415	101946	Stefano Morozzi	02/2022
6255	2^338654+39799	101946	Stefano Morozzi	05/2022
6256	2^338653+126629	101945	Stefano Morozzi	12/2021
6257	2^338653+33279	101945	Stefano Morozzi	02/2022
6258	2^338652-107097	101945	Stefano Morozzi	03/2022
6259	2^338649-154663	101944	Stefano Morozzi	02/2022
6260	2^338650+61399	101944	Stefano Morozzi	04/2022
6261	2^338645+150311	101943	Stefano Morozzi	11/2021
6262	2^338645+28481	101943	Stefano Morozzi	01/2022
6263	2^338647-77895	101943	Stefano Morozzi	01/2022
6264	2^338647-84607	101943	Stefano Morozzi	04/2022
6265	2^338647+164523	101943	Stefano Morozzi	05/2022
6266	2^338645+64845	101943	Stefano Morozzi	05/2022
6267	2^338641-152541	101942	Stefano Morozzi	12/2021
6268	2^338643-56487	101942	Stefano Morozzi	03/2022
6269	2^338638+100575	101941	Stefano Morozzi	12/2021
6270	2^338639-127461	101941	Stefano Morozzi	12/2021
6271	2^338640+187657	101941	Stefano Morozzi	04/2022
6272	2^338635+1961	101940	Stefano Morozzi	12/2021
6273	2^338637+102125	101940	Stefano Morozzi	12/2021
6278	28594^3673+3673^28594	101939	Hans Havermann	02/2019
6274	2^338631+110741	101939	Stefano Morozzi	03/2022
6275	2^338631+112119	101939	Stefano Morozzi	04/2022
6276	2^338634-83097	101939	Stefano Morozzi	04/2022
6277	2^338633+139701	101939	Stefano Morozzi	05/2022
6279	2^338630-150341	101938	Stefano Morozzi	12/2021
6280	2^338630+12867	101938	Stefano Morozzi	04/2022
6281	2^338626-105875	101937	Stefano Morozzi	02/2022
6282	2^338621+33069	101936	Stefano Morozzi	02/2022
6283	2^338623-106405	101936	Stefano Morozzi	03/2022
6284	2^338621+61751	101936	Stefano Morozzi	04/2022
6285	2^338620-150735	101935	Stefano Morozzi	12/2021
6286	2^338619-27765	101935	Stefano Morozzi	01/2022
6287	2^338619-77959	101935	Stefano Morozzi	01/2022
6288	2^338615+151655	101934	Stefano Morozzi	12/2021
6289	2^338616+5047	101934	Stefano Morozzi	01/2022
6290	2^338616+39705	101934	Stefano Morozzi	05/2022
6291	2^338611+76659	101933	Stefano Morozzi	12/2021
6292	2^338613-109791	101933	Stefano Morozzi	04/2022
6293	2^338609+130139	101932	Stefano Morozzi	01/2022
6294	2^338609+131327	101932	Stefano Morozzi	01/2022
6295	2^338608-155453	101932	Stefano Morozzi	02/2022
6296	2^338609+161721	101932	Stefano Morozzi	04/2022
6297	2^338607+30611	101931	Stefano Morozzi	01/2022
6298	2^338607+106695	101931	Stefano Morozzi	02/2022
6299	2^338606-32291	101931	Stefano Morozzi	03/2022
6300	2^338606+15195	101931	Stefano Morozzi	05/2022
6301	2^338603-1195	101930	Stefano Morozzi	12/2021
6302	2^338601+108867	101930	Stefano Morozzi	03/2022
6303	2^338603+34311	101930	Stefano Morozzi	03/2022
6304	2^338598+57127	101929	Stefano Morozzi	02/2022
6305	2^338598+162645	101929	Stefano Morozzi	04/2022
6306	2^338596-1739	101928	Stefano Morozzi	12/2021
6307	2^338595-78687	101928	Stefano Morozzi	01/2022
6308	2^338595+181683	101928	Stefano Morozzi	02/2022
6309	2^338597-106045	101928	Stefano Morozzi	02/2022
6310	2^338591+53769	101927	Stefano Morozzi	01/2022
6311	2^338593+156989	101927	Stefano Morozzi	02/2022
6312	2^338592+36157	101927	Stefano Morozzi	03/2022
6313	2^338590+182007	101926	Stefano Morozzi	02/2022
6314	2^338590+60747	101926	Stefano Morozzi	03/2022
6315	2^338588+62397	101926	Stefano Morozzi	04/2022
6316	2^338589-9685	101926	Stefano Morozzi	04/2022
6321	(2^338587+2306)/2	101925	Stefano Morozzi	02/2021
6317	2^338586+1153	101925	Stefano Morozzi	12/2021
6318	2^338587-51709	101925	Stefano Morozzi	12/2021
6319	2^338586+105303	101925	Stefano Morozzi	01/2022
6320	2^338585-131773	101925	Stefano Morozzi	03/2022
6322	2^338584+100771	101924	Stefano Morozzi	11/2021
6323	2^338581-150415	101924	Stefano Morozzi	12/2021
6324	2^338581-2349	101924	Stefano Morozzi	12/2021
6325	2^338575-28815	101922	Stefano Morozzi	01/2022
6326	2^338575-33645	101922	Stefano Morozzi	04/2022
6327	2^338573-156693	101921	Stefano Morozzi	03/2022
6330	2^338568+37	101920	Lelio R Paula	07/2011
6328	2^338570-53933	101920	Stefano Morozzi	02/2022
6329	2^338569+87201	101920	Stefano Morozzi	04/2022
6331	2^338567-9619	101919	Stefano Morozzi	04/2022
6332	2^338564-56763	101918	Stefano Morozzi	03/2022
6333	2^338561+112007	101918	Stefano Morozzi	04/2022
6334	2^338561-9315	101918	Stefano Morozzi	04/2022
6339	2^338559-1858777	101917	Enzo Doria	04/2016
6335	2^338558+4825	101917	Stefano Morozzi	01/2022
6336	2^338559-127935	101917	Stefano Morozzi	01/2022
6337	2^338560+154891	101917	Stefano Morozzi	01/2022
6338	2^338559+131885	101917	Stefano Morozzi	02/2022
6340	2^338555+189981	101916	Stefano Morozzi	05/2022
6341	2^338553-125383	101915	Stefano Morozzi	12/2021
6342	2^338554-82821	101915	Stefano Morozzi	03/2022
6343	2^338548+76923	101914	Stefano Morozzi	12/2021
6344	2^338549+158517	101914	Stefano Morozzi	03/2022
6345	2^338549+85397	101914	Stefano Morozzi	03/2022
6346	2^338548+138121	101914	Stefano Morozzi	05/2022
6347	2^338547+129321	101913	Stefano Morozzi	01/2022
6348	2^338547-153481	101913	Stefano Morozzi	01/2022
6349	2^338544+107853	101912	Stefano Morozzi	02/2022
6350	2^338541+152721	101911	Stefano Morozzi	01/2022
6351	2^338539+60825	101911	Stefano Morozzi	03/2022
6352	2^338539+160881	101911	Stefano Morozzi	03/2022
6353	2^338541-182523	101911	Stefano Morozzi	03/2022
6354	2^338540+87645	101911	Stefano Morozzi	04/2022
6355	2^338536-100785	101910	Stefano Morozzi	12/2021
6356	2^338535-51837	101910	Stefano Morozzi	12/2021
6357	2^338535-158745	101910	Stefano Morozzi	04/2022
6358	2^338532+39445	101909	Stefano Morozzi	05/2022
6359	2^338531+81081	101908	Stefano Morozzi	01/2022
6360	2^338530+59835	101908	Stefano Morozzi	03/2022
6361	2^338529+186551	101908	Stefano Morozzi	04/2022
6362	2^338531+61313	101908	Stefano Morozzi	04/2022
6363	2^338531-9277	101908	Stefano Morozzi	04/2022
6364	2^338524+54421	101906	Stefano Morozzi	01/2022
6365	2^338522-155811	101906	Stefano Morozzi	02/2022
6366	2^338521+183131	101905	Stefano Morozzi	02/2022
6367	2^338520+34945	101905	Stefano Morozzi	03/2022
6368	2^338518-182885	101905	Stefano Morozzi	04/2022
6369	2^338518+114633	101905	Stefano Morozzi	05/2022
6376	(9*2^338520+1)/365	101904	Lelio R Paula	12/2013
6370	2^338517-125955	101904	Stefano Morozzi	12/2021
6371	2^338517+126437	101904	Stefano Morozzi	12/2021
6372	2^338517-53499	101904	Stefano Morozzi	01/2022
6373	2^338515+30369	101904	Stefano Morozzi	01/2022
6374	2^338517-184623	101904	Stefano Morozzi	04/2022
6375	2^338515+89333	101904	Stefano Morozzi	05/2022
6379	24502^14419+14419^24502	101903	Hans Havermann	01/2019
6377	2^338512-827	101903	Stefano Morozzi	12/2021
6378	2^338514-6611	101903	Stefano Morozzi	03/2022
6380	2^338509+5139	101902	Stefano Morozzi	01/2022
6381	2^338504-152615	101900	Stefano Morozzi	01/2022
6382	2^338502-4587	101900	Stefano Morozzi	02/2022
6383	2^338500-26865	101899	Stefano Morozzi	12/2021
6384	2^338501-177471	101899	Stefano Morozzi	12/2021
6385	2^338499-3915	101899	Stefano Morozzi	01/2022
6386	2^338501+32051	101899	Stefano Morozzi	02/2022
6387	2^338499+183533	101899	Stefano Morozzi	03/2022
6388	2^338500+35625	101899	Stefano Morozzi	03/2022
6389	2^338499+87579	101899	Stefano Morozzi	04/2022
6392	2^338497-17041	101898	Enzo Doria	05/2013
6390	2^338497+150405	101898	Stefano Morozzi	11/2021
6391	2^338495+100533	101898	Stefano Morozzi	12/2021
6393	2^338494+36057	101897	Stefano Morozzi	03/2022
6394	2^338492+39015	101897	Stefano Morozzi	05/2022
6395	2^338490+61149	101896	Stefano Morozzi	03/2022
6396	2^338489+161369	101896	Stefano Morozzi	04/2022
6397	2^338487-3555	101895	Stefano Morozzi	01/2022
6398	2^338487-183129	101895	Stefano Morozzi	04/2022
6399	2^338484+128767	101894	Stefano Morozzi	01/2022
6400	2^338484-31895	101894	Stefano Morozzi	03/2022
6401	2^338478+10893	101893	Stefano Morozzi	03/2022
6402	2^338479+87243	101893	Stefano Morozzi	04/2022
6405	2^338475+54615	101892	Lelio R Paula	10/2016
6403	2^338475-59775	101892	Stefano Morozzi	04/2022
6404	2^338476-134237	101892	Stefano Morozzi	04/2022
6406	2^338474+100767	101891	Stefano Morozzi	11/2021
6407	2^338474+81165	101891	Stefano Morozzi	01/2022
6408	2^338470+27777	101890	Stefano Morozzi	01/2022
6409	2^338468+31351	101890	Stefano Morozzi	01/2022
6410	2^338469-106339	101890	Stefano Morozzi	03/2022
6411	2^338471+187469	101890	Stefano Morozzi	04/2022
6412	2^338467-25665	101889	Stefano Morozzi	12/2021
6413	2^338465+152139	101889	Stefano Morozzi	12/2021
6414	2^338466-28643	101889	Stefano Morozzi	01/2022
6415	2^338465+181517	101889	Stefano Morozzi	01/2022
6416	2^338464-104009	101888	Stefano Morozzi	02/2022
6417	2^338463+185169	101888	Stefano Morozzi	03/2022
6418	2^338464+60595	101888	Stefano Morozzi	03/2022
6419	2^338458+60273	101887	Stefano Morozzi	03/2022
6420	2^338461+135867	101887	Stefano Morozzi	03/2022
6421	2^338455-4621	101886	Stefano Morozzi	02/2022
6422	2^338457+187827	101886	Stefano Morozzi	04/2022
6423	2^338454+133737	101885	Stefano Morozzi	03/2022
6424	2^338454-158501	101885	Stefano Morozzi	04/2022
6425	2^338454-184217	101885	Stefano Morozzi	04/2022
6426	2^338453+164451	101885	Stefano Morozzi	05/2022
6427	2^338450+106275	101884	Stefano Morozzi	01/2022
6428	(133*10^101881+17)/3	101883	Robert Price	11/2021
6429	2^338445-80461	101883	Stefano Morozzi	02/2022
6430	2^338446-131211	101883	Stefano Morozzi	02/2022
6431	2^338448+187167	101883	Stefano Morozzi	04/2022
6432	2^338444+127623	101882	Stefano Morozzi	12/2021
6433	2^338441-5893	101881	Stefano Morozzi	02/2022
6434	2^338436+153657	101880	Stefano Morozzi	01/2022
6435	2^338437-153159	101880	Stefano Morozzi	01/2022
6436	2^338436-83783	101880	Stefano Morozzi	04/2022
6437	2^338435+89109	101880	Stefano Morozzi	05/2022
6438	2^338435+13871	101880	Stefano Morozzi	05/2022
6439	2^338434+81537	101879	Stefano Morozzi	01/2022
6440	2^338432+33495	101879	Stefano Morozzi	03/2022
6441	2^338432-7043	101879	Stefano Morozzi	03/2022
6442	2^338433-32629	101879	Stefano Morozzi	03/2022
6443	2^338430-9903	101878	Stefano Morozzi	04/2022
6447	2^338426-19797	101877	Enzo Doria	06/2013
6444	2^338427-77797	101877	Stefano Morozzi	01/2022
6445	2^338427-178687	101877	Stefano Morozzi	01/2022
6446	2^338428-54873	101877	Stefano Morozzi	02/2022
6448	2^338420-178829	101875	Stefano Morozzi	01/2022
6449	2^338421-105423	101875	Stefano Morozzi	02/2022
6450	2^338419-82761	101875	Stefano Morozzi	03/2022
6451	2^338418-50903	101874	Stefano Morozzi	12/2021
6452	2^338418+158355	101874	Stefano Morozzi	02/2022
6453	2^338418+159339	101874	Stefano Morozzi	03/2022
6454	2^338416+14953	101874	Stefano Morozzi	05/2022
6455	2^338413-125919	101873	Stefano Morozzi	12/2021
6456	2^338414+26083	101873	Stefano Morozzi	12/2021
6457	2^338412-152379	101873	Stefano Morozzi	12/2021
6458	2^338413+54797	101873	Stefano Morozzi	01/2022
6459	2^338412+157951	101873	Stefano Morozzi	02/2022
6460	2^338414+81627	101873	Stefano Morozzi	02/2022
6461	2^338413+133679	101873	Stefano Morozzi	03/2022
6462	2^338409-52183	101872	Stefano Morozzi	12/2021
6463	2^338411-3789	101872	Stefano Morozzi	01/2022
6464	2^338406-184175	101871	Stefano Morozzi	04/2022
6465	2^338404+55717	101870	Stefano Morozzi	01/2022
6466	2^338403+36261	101870	Stefano Morozzi	04/2022
6467	2^338402-34431	101870	Stefano Morozzi	04/2022
6468	2^338404-159215	101870	Stefano Morozzi	04/2022
6469	2^338395-127449	101868	Stefano Morozzi	12/2021
6470	2^338398-127637	101868	Stefano Morozzi	01/2022
6471	2^338394+100317	101867	Stefano Morozzi	11/2021
6472	2^338393-152749	101867	Stefano Morozzi	01/2022
6473	2^338393+163025	101867	Stefano Morozzi	04/2022
6474	2^338393+89229	101867	Stefano Morozzi	05/2022
6475	2^338390+76627	101866	Stefano Morozzi	12/2021
6476	2^338387-75685	101865	Stefano Morozzi	12/2021
6477	2^338388-53459	101865	Stefano Morozzi	01/2022
6478	2^338384+131563	101864	Stefano Morozzi	01/2022
6479	2^338382+109069	101864	Stefano Morozzi	03/2022
6480	2^338380+77125	101863	Stefano Morozzi	12/2021
6481	2^338378-125841	101862	Stefano Morozzi	12/2021
6482	2^338375+27815	101862	Stefano Morozzi	01/2022
6483	2^338375-28509	101862	Stefano Morozzi	01/2022
6484	2^338375+29985	101862	Stefano Morozzi	01/2022
6485	2^338377+157881	101862	Stefano Morozzi	02/2022
6486	2^338375+59589	101862	Stefano Morozzi	03/2022
6487	2^338378+36399	101862	Stefano Morozzi	04/2022
6488	2^338378-159773	101862	Stefano Morozzi	04/2022
6489	2^338378+14883	101862	Stefano Morozzi	05/2022
6490	2^338373-75103	101861	Stefano Morozzi	12/2021
6491	2^338372+128877	101861	Stefano Morozzi	01/2022
6492	2^338374-28731	101861	Stefano Morozzi	01/2022
6493	2^338374-128427	101861	Stefano Morozzi	01/2022
6494	2^338372+37875	101861	Stefano Morozzi	04/2022
6495	2^338373+161541	101861	Stefano Morozzi	04/2022
6496	2^338374+37759	101861	Stefano Morozzi	04/2022
6497	2^338369+29427	101860	Stefano Morozzi	01/2022
6498	2^338370+179133	101860	Stefano Morozzi	01/2022
6499	2^338369+131501	101860	Stefano Morozzi	01/2022
6500	2^338369+181649	101860	Stefano Morozzi	02/2022

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PRP Records

Probable Primes Top 10000

(290751 PRPs in the top)