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	2^338811+131621	101993	Stefano Morozzi	02/2022
6252	2^338812-107637	101993	Stefano Morozzi	03/2022
6253	2^338813+192725	101993	Stefano Morozzi	09/2022
6254	2^338809-152755	101992	Stefano Morozzi	01/2022
6255	2^338808+156531	101992	Stefano Morozzi	01/2022
6256	2^338808+7885	101992	Stefano Morozzi	02/2022
6257	2^338808-105797	101992	Stefano Morozzi	02/2022
6258	2^338807-35899	101992	Stefano Morozzi	06/2022
6259	2^338805+29879	101991	Stefano Morozzi	01/2022
6260	2^338805+157925	101991	Stefano Morozzi	02/2022
6261	2^338804-6809	101991	Stefano Morozzi	03/2022
6262	2^338806-157095	101991	Stefano Morozzi	03/2022
6263	2^338804-133173	101991	Stefano Morozzi	04/2022
6264	2^338802+150403	101990	Stefano Morozzi	11/2021
6265	2^338801+154587	101990	Stefano Morozzi	01/2022
6266	2^338802-180603	101990	Stefano Morozzi	02/2022
6267	2^338803-31921	101990	Stefano Morozzi	03/2022
6268	2^338803-81735	101990	Stefano Morozzi	03/2022
6269	2^338800+160141	101989	Stefano Morozzi	03/2022
6270	2^338797-82489	101989	Stefano Morozzi	03/2022
6275	2^338796+93	101988	Donovan Johnson	06/2008
6271	2^338795+455	101988	Stefano Morozzi	11/2021
6272	2^338795-102075	101988	Stefano Morozzi	12/2021
6273	2^338794-3483	101988	Stefano Morozzi	01/2022
6274	2^338796+179641	101988	Stefano Morozzi	01/2022
6276	2^338793-5155	101987	Stefano Morozzi	02/2022
6277	2^338793+111107	101987	Stefano Morozzi	03/2022
6278	2^338791+112083	101987	Stefano Morozzi	04/2022
6279	2^338792-85097	101987	Stefano Morozzi	06/2022
6280	(61*10^101986+47)/9	101987	Robert Price	07/2022
6281	2^338787+53309	101986	Stefano Morozzi	01/2022
6282	2^338787-153817	101986	Stefano Morozzi	01/2022
6283	2^338789+56229	101986	Stefano Morozzi	01/2022
6284	2^338790+6429	101986	Stefano Morozzi	01/2022
6285	2^338788+131701	101986	Stefano Morozzi	02/2022
6286	2^338785+104639	101985	Stefano Morozzi	01/2022
6287	2^338784+37591	101985	Stefano Morozzi	04/2022
6288	2^338786-9831	101985	Stefano Morozzi	04/2022
6289	2^338783+109065	101984	Stefano Morozzi	03/2022
6290	2^338779+86711	101983	Stefano Morozzi	04/2022
6291	2^338778+113589	101983	Stefano Morozzi	05/2022
6292	2^338775-30369	101982	Stefano Morozzi	02/2022
6293	2^338774+159135	101982	Stefano Morozzi	03/2022
6294	2^338776+113001	101982	Stefano Morozzi	04/2022
6295	2^338774+117039	101982	Stefano Morozzi	09/2022
6296	2^338775+167109	101982	Stefano Morozzi	09/2022
6297	2^338772+42733	101981	Stefano Morozzi	09/2022
6298	2^338768-181007	101980	Stefano Morozzi	02/2022
6299	2^338768+108807	101980	Stefano Morozzi	03/2022
6300	2^338767+169155	101980	Stefano Morozzi	09/2022
6301	2^338764+138013	101979	Stefano Morozzi	04/2022
6302	2^338765-160323	101979	Stefano Morozzi	06/2022
6306	lucasU(1373,1,32502)-lucasU(1373,1,32501)	101978	Mike Oakes	05/2009
6303	2^338761+103671	101978	Stefano Morozzi	01/2022
6304	2^338763-7651	101978	Stefano Morozzi	03/2022
6305	2^338763+65591	101978	Stefano Morozzi	06/2022
6307	2^338757-5151	101977	Stefano Morozzi	02/2022
6308	2^338760-79037	101977	Stefano Morozzi	02/2022
6309	2^338757-82143	101977	Stefano Morozzi	03/2022
6310	2^338757+137007	101977	Stefano Morozzi	04/2022
6311	2^338755+158531	101976	Stefano Morozzi	03/2022
6312	2^338752-153353	101975	Stefano Morozzi	01/2022
6313	2^338751+8001	101975	Stefano Morozzi	02/2022
6314	2^338752+32977	101975	Stefano Morozzi	02/2022
6315	2^338753-79233	101975	Stefano Morozzi	02/2022
6316	2^338750-175625	101974	Stefano Morozzi	12/2021
6317	2^338747-2731	101974	Stefano Morozzi	12/2021
6318	2^338750-29597	101974	Stefano Morozzi	02/2022
6319	2^338748+35095	101974	Stefano Morozzi	03/2022
6320	2^338747+137475	101974	Stefano Morozzi	04/2022
6321	2^338747+162005	101974	Stefano Morozzi	04/2022
6322	2^338750+162237	101974	Stefano Morozzi	04/2022
6323	2^338747-184365	101974	Stefano Morozzi	04/2022
6324	2^338748+64341	101974	Stefano Morozzi	05/2022
6325	2^338746+59577	101973	Stefano Morozzi	03/2022
6326	2^338746+62055	101973	Stefano Morozzi	04/2022
6327	2^338744+194065	101973	Stefano Morozzi	09/2022
6328	2^338741+25359	101972	Stefano Morozzi	12/2021
6329	2^338743+176981	101972	Stefano Morozzi	12/2021
6330	2^338741+183029	101972	Stefano Morozzi	02/2022
6331	2^338743-130309	101972	Stefano Morozzi	02/2022
6332	2^338741+86349	101972	Stefano Morozzi	04/2022
6333	2^338741+111561	101972	Stefano Morozzi	04/2022
6334	2^338739+76959	101971	Stefano Morozzi	12/2021
6335	2^338739-105957	101971	Stefano Morozzi	02/2022
6336	2^338739+190149	101971	Stefano Morozzi	05/2022
6337	2^338738+64947	101971	Stefano Morozzi	05/2022
6338	2^338737+127547	101970	Stefano Morozzi	12/2021
6339	2^338737+128591	101970	Stefano Morozzi	01/2022
6340	2^338735-153165	101970	Stefano Morozzi	01/2022
6341	2^338734+13719	101970	Stefano Morozzi	05/2022
6347	25295^10744+10744^25295	101969	Hans Havermann	01/2019
6348	25712^9243+9243^25712	101969	Hans Havermann	01/2019
6342	2^338731-150895	101969	Stefano Morozzi	12/2021
6343	2^338731+54911	101969	Stefano Morozzi	01/2022
6344	2^338731+85863	101969	Stefano Morozzi	03/2022
6345	2^338732+185047	101969	Stefano Morozzi	03/2022
6346	2^338733+193791	101969	Stefano Morozzi	09/2022
6349	2^338729+69221	101968	Stefano Morozzi	09/2022
6350	2^338726+128199	101967	Stefano Morozzi	01/2022
6351	2^338727+127745	101967	Stefano Morozzi	01/2022
6352	2^338724+32971	101967	Stefano Morozzi	02/2022
6353	2^338727+189683	101967	Stefano Morozzi	05/2022
6354	2^338727+118293	101967	Stefano Morozzi	09/2022
6355	2^338723-76651	101966	Stefano Morozzi	12/2021
6356	2^338721+79037	101966	Stefano Morozzi	01/2022
6357	2^338723-132621	101966	Stefano Morozzi	03/2022
6358	2^338722+137313	101966	Stefano Morozzi	04/2022
6359	2^338722+162915	101966	Stefano Morozzi	04/2022
6360	2^338718-126861	101965	Stefano Morozzi	12/2021
6361	2^338718-109127	101965	Stefano Morozzi	04/2022
6365	(71^55079-1)/70	101964	Paul Bourdelais	08/2017
6362	2^338714+30835	101964	Stefano Morozzi	01/2022
6363	2^338714+156715	101964	Stefano Morozzi	02/2022
6364	2^338715+19923	101964	Stefano Morozzi	09/2022
6366	2^338711+125399	101963	Stefano Morozzi	12/2021
6367	2^338713-30895	101963	Stefano Morozzi	02/2022
6368	2^338712-132545	101963	Stefano Morozzi	03/2022
6369	2^338713+87825	101963	Stefano Morozzi	04/2022
6370	2^338712+190333	101963	Stefano Morozzi	06/2022
6371	2^338709-154429	101962	Stefano Morozzi	02/2022
6372	2^338710+140545	101962	Stefano Morozzi	06/2022
6373	2^338706-102917	101961	Stefano Morozzi	01/2022
6374	2^338705+34727	101961	Stefano Morozzi	03/2022
6375	2^338698+104083	101959	Stefano Morozzi	01/2022
6376	2^338700-184565	101959	Stefano Morozzi	04/2022
6377	2^338700+189777	101959	Stefano Morozzi	05/2022
6378	2^338698+41779	101959	Stefano Morozzi	09/2022
6379	2^338696+181671	101958	Stefano Morozzi	02/2022
6380	2^338692+106297	101957	Stefano Morozzi	01/2022
6381	2^338692+33195	101957	Stefano Morozzi	02/2022
6382	2^338692+110505	101957	Stefano Morozzi	03/2022
6383	2^338692+190093	101957	Stefano Morozzi	05/2022
6384	2^338688+82203	101956	Stefano Morozzi	02/2022
6385	2^338689+82365	101956	Stefano Morozzi	02/2022
6386	2^338686-81303	101955	Stefano Morozzi	03/2022
6387	2^338687+40461	101955	Stefano Morozzi	06/2022
6388	2^338687+65283	101955	Stefano Morozzi	06/2022
6393	2^338682-19865	101954	Enzo Doria	06/2013
6394	(2^(112895*3+1)+243)/7	101954	Kevin Acres	12/2013
6389	(8*10^101954-269)/9	101954	Robert Price	09/2021
6390	2^338683+50303	101954	Stefano Morozzi	11/2021
6391	2^338682-107205	101954	Stefano Morozzi	03/2022
6392	2^338682+13839	101954	Stefano Morozzi	05/2022
6395	2^338678-180005	101953	Stefano Morozzi	02/2022
6396	2^338680+15855	101953	Stefano Morozzi	06/2022
6397	2^338678+93175	101953	Stefano Morozzi	09/2022
6398	2^338674-175967	101952	Stefano Morozzi	12/2021
6399	2^338677-177373	101952	Stefano Morozzi	12/2021
6400	2^338677+102999	101952	Stefano Morozzi	01/2022
6401	2^338676+33381	101952	Stefano Morozzi	03/2022
6402	2^338677-82699	101952	Stefano Morozzi	03/2022
6403	2^338676-34299	101952	Stefano Morozzi	04/2022
6404	2^338675+188445	101952	Stefano Morozzi	05/2022
6405	2^338676+165271	101952	Stefano Morozzi	06/2022
6406	2^338671-55041	101951	Stefano Morozzi	02/2022
6407	2^338673-80203	101951	Stefano Morozzi	02/2022
6408	2^338672-182063	101951	Stefano Morozzi	03/2022
6409	2^338672+36667	101951	Stefano Morozzi	04/2022
6410	2^338668+2583	101950	Stefano Morozzi	12/2021
6411	2^338670-157001	101950	Stefano Morozzi	03/2022
6412	2^338669-8353	101950	Stefano Morozzi	04/2022
6413	2^338670+40635	101950	Stefano Morozzi	06/2022
6421	(2^338666+3154)/2	101949	Stefano Morozzi	09/2020
6414	2^338665+1577	101949	Stefano Morozzi	12/2021
6415	2^338665-51133	101949	Stefano Morozzi	12/2021
6416	2^338664+4345	101949	Stefano Morozzi	01/2022
6417	2^338666-128943	101949	Stefano Morozzi	01/2022
6418	2^338664+131535	101949	Stefano Morozzi	01/2022
6419	2^338667+14943	101949	Stefano Morozzi	05/2022
6420	2^338665+166637	101949	Stefano Morozzi	09/2022
6422	2^338662+31587	101948	Stefano Morozzi	02/2022
6423	2^338663-58375	101948	Stefano Morozzi	04/2022
6424	2^338663-107869	101948	Stefano Morozzi	04/2022
6425	2^338663+90435	101948	Stefano Morozzi	06/2022
6426	2^338658-159191	101947	Stefano Morozzi	04/2022
6427	2^338659-159687	101947	Stefano Morozzi	04/2022
6428	2^338659+15543	101947	Stefano Morozzi	05/2022
6429	2^338658+44395	101947	Stefano Morozzi	09/2022
6430	2^338658+192537	101947	Stefano Morozzi	09/2022
6431	2^338654+51027	101946	Stefano Morozzi	12/2021
6432	2^338656-152115	101946	Stefano Morozzi	12/2021
6433	2^338654+32415	101946	Stefano Morozzi	02/2022
6434	2^338654+39799	101946	Stefano Morozzi	05/2022
6435	2^338655+144579	101946	Stefano Morozzi	09/2022
6436	2^338653+126629	101945	Stefano Morozzi	12/2021
6437	2^338653+33279	101945	Stefano Morozzi	02/2022
6438	2^338652-107097	101945	Stefano Morozzi	03/2022
6439	2^338653+94475	101945	Stefano Morozzi	09/2022
6440	2^338651+194073	101945	Stefano Morozzi	09/2022
6441	2^338649-154663	101944	Stefano Morozzi	02/2022
6442	2^338650+61399	101944	Stefano Morozzi	04/2022
6443	2^338650-35655	101944	Stefano Morozzi	06/2022
6444	2^338650+169623	101944	Stefano Morozzi	09/2022
6445	2^338645+150311	101943	Stefano Morozzi	11/2021
6446	2^338645+28481	101943	Stefano Morozzi	01/2022
6447	2^338647-77895	101943	Stefano Morozzi	01/2022
6448	2^338647-84607	101943	Stefano Morozzi	04/2022
6449	2^338647+164523	101943	Stefano Morozzi	05/2022
6450	2^338645+64845	101943	Stefano Morozzi	05/2022
6451	2^338641-152541	101942	Stefano Morozzi	12/2021
6452	2^338643-56487	101942	Stefano Morozzi	03/2022
6453	2^338638+100575	101941	Stefano Morozzi	12/2021
6454	2^338639-127461	101941	Stefano Morozzi	12/2021
6455	2^338640+187657	101941	Stefano Morozzi	04/2022
6456	2^338640+44431	101941	Stefano Morozzi	09/2022
6457	2^338635+1961	101940	Stefano Morozzi	12/2021
6458	2^338637+102125	101940	Stefano Morozzi	12/2021
6459	2^338636-135329	101940	Stefano Morozzi	06/2022
6464	28594^3673+3673^28594	101939	Hans Havermann	02/2019
6460	2^338631+110741	101939	Stefano Morozzi	03/2022
6461	2^338631+112119	101939	Stefano Morozzi	04/2022
6462	2^338634-83097	101939	Stefano Morozzi	04/2022
6463	2^338633+139701	101939	Stefano Morozzi	05/2022
6465	2^338630-150341	101938	Stefano Morozzi	12/2021
6466	2^338630+12867	101938	Stefano Morozzi	04/2022
6467	2^338629+42147	101938	Stefano Morozzi	09/2022
6468	2^338626-105875	101937	Stefano Morozzi	02/2022
6469	2^338621+33069	101936	Stefano Morozzi	02/2022
6470	2^338623-106405	101936	Stefano Morozzi	03/2022
6471	2^338621+61751	101936	Stefano Morozzi	04/2022
6472	2^338620-150735	101935	Stefano Morozzi	12/2021
6473	2^338619-27765	101935	Stefano Morozzi	01/2022
6474	2^338619-77959	101935	Stefano Morozzi	01/2022
6475	2^338615+151655	101934	Stefano Morozzi	12/2021
6476	2^338616+5047	101934	Stefano Morozzi	01/2022
6477	2^338616+39705	101934	Stefano Morozzi	05/2022
6478	2^338611+76659	101933	Stefano Morozzi	12/2021
6479	2^338613-109791	101933	Stefano Morozzi	04/2022
6480	2^338612+119583	101933	Stefano Morozzi	09/2022
6481	2^338609+130139	101932	Stefano Morozzi	01/2022
6482	2^338609+131327	101932	Stefano Morozzi	01/2022
6483	2^338608-155453	101932	Stefano Morozzi	02/2022
6484	2^338609+161721	101932	Stefano Morozzi	04/2022
6485	2^338609-10405	101932	Stefano Morozzi	06/2022
6486	2^338608+94017	101932	Stefano Morozzi	09/2022
6487	2^338607+30611	101931	Stefano Morozzi	01/2022
6488	2^338607+106695	101931	Stefano Morozzi	02/2022
6489	2^338606-32291	101931	Stefano Morozzi	03/2022
6490	2^338606+15195	101931	Stefano Morozzi	05/2022
6491	2^338603-1195	101930	Stefano Morozzi	12/2021
6492	2^338601+108867	101930	Stefano Morozzi	03/2022
6493	2^338603+34311	101930	Stefano Morozzi	03/2022
6494	2^338598+57127	101929	Stefano Morozzi	02/2022
6495	2^338598+162645	101929	Stefano Morozzi	04/2022
6496	2^338599+43445	101929	Stefano Morozzi	09/2022
6497	2^338599+19485	101929	Stefano Morozzi	09/2022
6498	2^338596-1739	101928	Stefano Morozzi	12/2021
6499	2^338595-78687	101928	Stefano Morozzi	01/2022
6500	2^338595+181683	101928	Stefano Morozzi	02/2022

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Probable Primes Top 10000

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