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 ?
6001	2^338936+84147	102030	Stefano Morozzi	03/2022
6002	2^338931+2349	102029	Stefano Morozzi	12/2021
6003	2^338933+79935	102029	Stefano Morozzi	01/2022
6004	2^338930+33819	102029	Stefano Morozzi	03/2022
6005	2^338931-31555	102029	Stefano Morozzi	03/2022
6006	2^338933+64169	102029	Stefano Morozzi	05/2022
6007	2^338928+2367	102028	Stefano Morozzi	12/2021
6008	2^338927+52779	102028	Stefano Morozzi	01/2022
6009	2^338927-79539	102028	Stefano Morozzi	02/2022
6010	2^338929+60819	102028	Stefano Morozzi	03/2022
6011	2^338928-156959	102028	Stefano Morozzi	03/2022
6012	2^338925+106631	102027	Stefano Morozzi	01/2022
6013	2^338926+80235	102027	Stefano Morozzi	01/2022
6014	2^338922-27291	102026	Stefano Morozzi	12/2021
6015	2^338919-103849	102025	Stefano Morozzi	01/2022
6016	2^338919+130221	102025	Stefano Morozzi	01/2022
6017	2^338914-79121	102024	Stefano Morozzi	02/2022
6018	2^338916+134047	102024	Stefano Morozzi	03/2022
6019	2^338910+81027	102023	Stefano Morozzi	01/2022
6020	2^338912+179821	102023	Stefano Morozzi	01/2022
6021	2^338909+100769	102022	Stefano Morozzi	11/2021
6022	2^338908-100839	102022	Stefano Morozzi	12/2021
6023	2^338909-25951	102022	Stefano Morozzi	12/2021
6024	2^338906-25823	102021	Stefano Morozzi	12/2021
6025	2^338904+75951	102021	Stefano Morozzi	12/2021
6026	2^338906+6685	102021	Stefano Morozzi	01/2022
6027	2^338905+160365	102021	Stefano Morozzi	03/2022
6028	2^338903+4155	102020	Stefano Morozzi	01/2022
6029	2^338901+55571	102020	Stefano Morozzi	01/2022
6030	2^338901-55479	102020	Stefano Morozzi	02/2022
6031	2^338903+33555	102020	Stefano Morozzi	03/2022
6032	2^338901+39777	102020	Stefano Morozzi	05/2022
6033	2^338899-150051	102019	Stefano Morozzi	12/2021
6034	2^338899+125951	102019	Stefano Morozzi	12/2021
6035	2^338898+179623	102019	Stefano Morozzi	01/2022
6036	2^338899-154467	102019	Stefano Morozzi	02/2022
6037	2^338894-133295	102018	Stefano Morozzi	04/2022
6045	2^338891-18885	102017	Enzo Doria	05/2013
6038	2^338891+26499	102017	Stefano Morozzi	12/2021
6039	2^338891-2625	102017	Stefano Morozzi	12/2021
6040	2^338893+128727	102017	Stefano Morozzi	01/2022
6041	2^338890-52965	102017	Stefano Morozzi	01/2022
6042	2^338892-55467	102017	Stefano Morozzi	02/2022
6043	2^338892-83393	102017	Stefano Morozzi	04/2022
6044	2^338893+13649	102017	Stefano Morozzi	05/2022
6046	2^338887+154029	102016	Stefano Morozzi	01/2022
6047	2^338889-104293	102016	Stefano Morozzi	02/2022
6048	2^338886+177159	102015	Stefano Morozzi	12/2021
6049	2^338880+11341	102014	Stefano Morozzi	03/2022
6050	2^338879-1059	102013	Stefano Morozzi	12/2021
6051	2^338879-54525	102013	Stefano Morozzi	02/2022
6052	2^338877-82813	102013	Stefano Morozzi	03/2022
6053	2^338871+7679	102011	Stefano Morozzi	02/2022
6054	2^338872+61141	102011	Stefano Morozzi	03/2022
6055	2^338872-183923	102011	Stefano Morozzi	04/2022
6056	2^338868-5985	102010	Stefano Morozzi	02/2022
6057	2^338867+38079	102010	Stefano Morozzi	05/2022
6058	2^338864+158191	102009	Stefano Morozzi	02/2022
6059	2^338862+60433	102008	Stefano Morozzi	03/2022
6060	2^338861-9453	102008	Stefano Morozzi	04/2022
6061	2^338855+102141	102006	Stefano Morozzi	12/2021
6062	2^338856-27173	102006	Stefano Morozzi	12/2021
6063	2^338856-102839	102006	Stefano Morozzi	01/2022
6064	2^338855+79629	102006	Stefano Morozzi	01/2022
6065	2^338850+27987	102005	Stefano Morozzi	01/2022
6066	2^338853+111791	102005	Stefano Morozzi	04/2022
6067	2^338847+176013	102004	Stefano Morozzi	12/2021
6068	2^338847-2365	102004	Stefano Morozzi	12/2021
6069	2^338848+158941	102004	Stefano Morozzi	03/2022
6070	2^338845+135831	102003	Stefano Morozzi	03/2022
6071	2^338846+85695	102003	Stefano Morozzi	03/2022
6072	2^338845+186525	102003	Stefano Morozzi	04/2022
6073	2^338843-127261	102002	Stefano Morozzi	12/2021
6074	2^338843+107205	102002	Stefano Morozzi	02/2022
6075	2^338842-33185	102002	Stefano Morozzi	04/2022
6076	2^338842+14227	102002	Stefano Morozzi	05/2022
6078	8*10^102000+51	102001	Robert Price	08/2019
6077	2^338838+150837	102001	Stefano Morozzi	11/2021
6079	2^338835-150625	102000	Stefano Morozzi	12/2021
6080	2^338834-32877	102000	Stefano Morozzi	04/2022
6083	(2^338832+642)/2	101999	Stefano Morozzi	09/2020
6081	2^338833-100905	101999	Stefano Morozzi	12/2021
6082	2^338831+54419	101999	Stefano Morozzi	01/2022
6089	2^338829-113239	101998	Enzo Doria	07/2014
6090	2^338828-113297	101998	Enzo Doria	07/2014
6084	2^338830+25017	101998	Stefano Morozzi	11/2021
6085	2^338831+321	101998	Stefano Morozzi	11/2021
6086	2^338827-26197	101998	Stefano Morozzi	12/2021
6087	2^338829+52727	101998	Stefano Morozzi	01/2022
6088	2^338827-55461	101998	Stefano Morozzi	02/2022
6091	2^338825-27453	101997	Stefano Morozzi	12/2021
6092	2^338824+89355	101997	Stefano Morozzi	05/2022
6093	2^338822+111175	101996	Stefano Morozzi	03/2022
6094	2^338822+187819	101996	Stefano Morozzi	04/2022
6095	2^338823+139545	101996	Stefano Morozzi	05/2022
6096	2^338815+151175	101994	Stefano Morozzi	12/2021
6097	2^338814-30011	101994	Stefano Morozzi	02/2022
6098	2^338814+12309	101994	Stefano Morozzi	04/2022
6099	2^338811-126999	101993	Stefano Morozzi	12/2021
6100	2^338811+131621	101993	Stefano Morozzi	02/2022
6101	2^338812-107637	101993	Stefano Morozzi	03/2022
6102	2^338809-152755	101992	Stefano Morozzi	01/2022
6103	2^338808+156531	101992	Stefano Morozzi	01/2022
6104	2^338808+7885	101992	Stefano Morozzi	02/2022
6105	2^338808-105797	101992	Stefano Morozzi	02/2022
6106	2^338805+29879	101991	Stefano Morozzi	01/2022
6107	2^338805+157925	101991	Stefano Morozzi	02/2022
6108	2^338804-6809	101991	Stefano Morozzi	03/2022
6109	2^338806-157095	101991	Stefano Morozzi	03/2022
6110	2^338804-133173	101991	Stefano Morozzi	04/2022
6111	2^338802+150403	101990	Stefano Morozzi	11/2021
6112	2^338801+154587	101990	Stefano Morozzi	01/2022
6113	2^338802-180603	101990	Stefano Morozzi	02/2022
6114	2^338803-31921	101990	Stefano Morozzi	03/2022
6115	2^338803-81735	101990	Stefano Morozzi	03/2022
6116	2^338800+160141	101989	Stefano Morozzi	03/2022
6117	2^338797-82489	101989	Stefano Morozzi	03/2022
6122	2^338796+93	101988	Donovan Johnson	06/2008
6118	2^338795+455	101988	Stefano Morozzi	11/2021
6119	2^338795-102075	101988	Stefano Morozzi	12/2021
6120	2^338794-3483	101988	Stefano Morozzi	01/2022
6121	2^338796+179641	101988	Stefano Morozzi	01/2022
6123	2^338793-5155	101987	Stefano Morozzi	02/2022
6124	2^338793+111107	101987	Stefano Morozzi	03/2022
6125	2^338791+112083	101987	Stefano Morozzi	04/2022
6126	2^338787+53309	101986	Stefano Morozzi	01/2022
6127	2^338787-153817	101986	Stefano Morozzi	01/2022
6128	2^338789+56229	101986	Stefano Morozzi	01/2022
6129	2^338790+6429	101986	Stefano Morozzi	01/2022
6130	2^338788+131701	101986	Stefano Morozzi	02/2022
6131	2^338785+104639	101985	Stefano Morozzi	01/2022
6132	2^338784+37591	101985	Stefano Morozzi	04/2022
6133	2^338786-9831	101985	Stefano Morozzi	04/2022
6134	2^338783+109065	101984	Stefano Morozzi	03/2022
6135	2^338779+86711	101983	Stefano Morozzi	04/2022
6136	2^338778+113589	101983	Stefano Morozzi	05/2022
6137	2^338775-30369	101982	Stefano Morozzi	02/2022
6138	2^338774+159135	101982	Stefano Morozzi	03/2022
6139	2^338776+113001	101982	Stefano Morozzi	04/2022
6140	2^338768-181007	101980	Stefano Morozzi	02/2022
6141	2^338768+108807	101980	Stefano Morozzi	03/2022
6142	2^338764+138013	101979	Stefano Morozzi	04/2022
6145	lucasU(1373,1,32502)-lucasU(1373,1,32501)	101978	Mike Oakes	05/2009
6143	2^338761+103671	101978	Stefano Morozzi	01/2022
6144	2^338763-7651	101978	Stefano Morozzi	03/2022
6146	2^338757-5151	101977	Stefano Morozzi	02/2022
6147	2^338760-79037	101977	Stefano Morozzi	02/2022
6148	2^338757-82143	101977	Stefano Morozzi	03/2022
6149	2^338757+137007	101977	Stefano Morozzi	04/2022
6150	2^338755+158531	101976	Stefano Morozzi	03/2022
6151	2^338752-153353	101975	Stefano Morozzi	01/2022
6152	2^338751+8001	101975	Stefano Morozzi	02/2022
6153	2^338752+32977	101975	Stefano Morozzi	02/2022
6154	2^338753-79233	101975	Stefano Morozzi	02/2022
6155	2^338750-175625	101974	Stefano Morozzi	12/2021
6156	2^338747-2731	101974	Stefano Morozzi	12/2021
6157	2^338750-29597	101974	Stefano Morozzi	02/2022
6158	2^338748+35095	101974	Stefano Morozzi	03/2022
6159	2^338747+137475	101974	Stefano Morozzi	04/2022
6160	2^338747+162005	101974	Stefano Morozzi	04/2022
6161	2^338750+162237	101974	Stefano Morozzi	04/2022
6162	2^338747-184365	101974	Stefano Morozzi	04/2022
6163	2^338748+64341	101974	Stefano Morozzi	05/2022
6164	2^338746+59577	101973	Stefano Morozzi	03/2022
6165	2^338746+62055	101973	Stefano Morozzi	04/2022
6166	2^338741+25359	101972	Stefano Morozzi	12/2021
6167	2^338743+176981	101972	Stefano Morozzi	12/2021
6168	2^338741+183029	101972	Stefano Morozzi	02/2022
6169	2^338743-130309	101972	Stefano Morozzi	02/2022
6170	2^338741+86349	101972	Stefano Morozzi	04/2022
6171	2^338741+111561	101972	Stefano Morozzi	04/2022
6172	2^338739+76959	101971	Stefano Morozzi	12/2021
6173	2^338739-105957	101971	Stefano Morozzi	02/2022
6174	2^338739+190149	101971	Stefano Morozzi	05/2022
6175	2^338738+64947	101971	Stefano Morozzi	05/2022
6176	2^338737+127547	101970	Stefano Morozzi	12/2021
6177	2^338737+128591	101970	Stefano Morozzi	01/2022
6178	2^338735-153165	101970	Stefano Morozzi	01/2022
6179	2^338734+13719	101970	Stefano Morozzi	05/2022
6184	25295^10744+10744^25295	101969	Hans Havermann	01/2019
6185	25712^9243+9243^25712	101969	Hans Havermann	01/2019
6180	2^338731-150895	101969	Stefano Morozzi	12/2021
6181	2^338731+54911	101969	Stefano Morozzi	01/2022
6182	2^338731+85863	101969	Stefano Morozzi	03/2022
6183	2^338732+185047	101969	Stefano Morozzi	03/2022
6186	2^338726+128199	101967	Stefano Morozzi	01/2022
6187	2^338727+127745	101967	Stefano Morozzi	01/2022
6188	2^338724+32971	101967	Stefano Morozzi	02/2022
6189	2^338727+189683	101967	Stefano Morozzi	05/2022
6190	2^338723-76651	101966	Stefano Morozzi	12/2021
6191	2^338721+79037	101966	Stefano Morozzi	01/2022
6192	2^338723-132621	101966	Stefano Morozzi	03/2022
6193	2^338722+137313	101966	Stefano Morozzi	04/2022
6194	2^338722+162915	101966	Stefano Morozzi	04/2022
6195	2^338718-126861	101965	Stefano Morozzi	12/2021
6196	2^338718-109127	101965	Stefano Morozzi	04/2022
6199	(71^55079-1)/70	101964	Paul Bourdelais	08/2017
6197	2^338714+30835	101964	Stefano Morozzi	01/2022
6198	2^338714+156715	101964	Stefano Morozzi	02/2022
6200	2^338711+125399	101963	Stefano Morozzi	12/2021
6201	2^338713-30895	101963	Stefano Morozzi	02/2022
6202	2^338712-132545	101963	Stefano Morozzi	03/2022
6203	2^338713+87825	101963	Stefano Morozzi	04/2022
6204	2^338709-154429	101962	Stefano Morozzi	02/2022
6205	2^338706-102917	101961	Stefano Morozzi	01/2022
6206	2^338705+34727	101961	Stefano Morozzi	03/2022
6207	2^338698+104083	101959	Stefano Morozzi	01/2022
6208	2^338700-184565	101959	Stefano Morozzi	04/2022
6209	2^338700+189777	101959	Stefano Morozzi	05/2022
6210	2^338696+181671	101958	Stefano Morozzi	02/2022
6211	2^338692+106297	101957	Stefano Morozzi	01/2022
6212	2^338692+33195	101957	Stefano Morozzi	02/2022
6213	2^338692+110505	101957	Stefano Morozzi	03/2022
6214	2^338692+190093	101957	Stefano Morozzi	05/2022
6215	2^338688+82203	101956	Stefano Morozzi	02/2022
6216	2^338689+82365	101956	Stefano Morozzi	02/2022
6217	2^338686-81303	101955	Stefano Morozzi	03/2022
6222	2^338682-19865	101954	Enzo Doria	06/2013
6223	(2^(112895*3+1)+243)/7	101954	Kevin Acres	12/2013
6218	(8*10^101954-269)/9	101954	Robert Price	09/2021
6219	2^338683+50303	101954	Stefano Morozzi	11/2021
6220	2^338682-107205	101954	Stefano Morozzi	03/2022
6221	2^338682+13839	101954	Stefano Morozzi	05/2022
6224	2^338678-180005	101953	Stefano Morozzi	02/2022
6225	2^338674-175967	101952	Stefano Morozzi	12/2021
6226	2^338677-177373	101952	Stefano Morozzi	12/2021
6227	2^338677+102999	101952	Stefano Morozzi	01/2022
6228	2^338676+33381	101952	Stefano Morozzi	03/2022
6229	2^338677-82699	101952	Stefano Morozzi	03/2022
6230	2^338676-34299	101952	Stefano Morozzi	04/2022
6231	2^338675+188445	101952	Stefano Morozzi	05/2022
6232	2^338671-55041	101951	Stefano Morozzi	02/2022
6233	2^338673-80203	101951	Stefano Morozzi	02/2022
6234	2^338672-182063	101951	Stefano Morozzi	03/2022
6235	2^338672+36667	101951	Stefano Morozzi	04/2022
6236	2^338668+2583	101950	Stefano Morozzi	12/2021
6237	2^338670-157001	101950	Stefano Morozzi	03/2022
6238	2^338669-8353	101950	Stefano Morozzi	04/2022
6245	(2^338666+3154)/2	101949	Stefano Morozzi	09/2020
6239	2^338665+1577	101949	Stefano Morozzi	12/2021
6240	2^338665-51133	101949	Stefano Morozzi	12/2021
6241	2^338664+4345	101949	Stefano Morozzi	01/2022
6242	2^338666-128943	101949	Stefano Morozzi	01/2022
6243	2^338664+131535	101949	Stefano Morozzi	01/2022
6244	2^338667+14943	101949	Stefano Morozzi	05/2022
6246	2^338662+31587	101948	Stefano Morozzi	02/2022
6247	2^338663-58375	101948	Stefano Morozzi	04/2022
6248	2^338663-107869	101948	Stefano Morozzi	04/2022
6249	2^338658-159191	101947	Stefano Morozzi	04/2022
6250	2^338659-159687	101947	Stefano Morozzi	04/2022

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Probable Primes Top 10000

(290751 PRPs in the top)