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 ?
8751	2^338955+41643	102036	Stefano Morozzi	09/2022
8752	2^338954+194427	102036	Stefano Morozzi	09/2022
8753	2^338956+117967	102036	Stefano Morozzi	09/2022
8754	2^338956+195495	102036	Stefano Morozzi	11/2022
8755	2^338954-186371	102036	Stefano Morozzi	12/2022
8756	2^338950+175077	102035	Stefano Morozzi	12/2021
8757	2^338951-51687	102035	Stefano Morozzi	12/2021
8758	2^338951+66123	102035	Stefano Morozzi	06/2022
8759	2^338950+19317	102035	Stefano Morozzi	09/2022
8760	2^338951-161479	102035	Stefano Morozzi	12/2022
8761	2^338950-66335	102035	Stefano Morozzi	01/2023
8762	2^338951-41611	102035	Stefano Morozzi	02/2023
8763	2^338952-142887	102035	Stefano Morozzi	02/2023
8764	2^338949+85449	102034	Stefano Morozzi	03/2022
8765	2^338949-184585	102034	Stefano Morozzi	04/2022
8766	2^338949-88555	102034	Stefano Morozzi	12/2022
8767	2^338948+49393	102034	Stefano Morozzi	02/2023
8768	2^338949-17601	102034	Stefano Morozzi	02/2023
8769	2^338943+127103	102033	Stefano Morozzi	12/2021
8770	2^338944-84003	102033	Stefano Morozzi	04/2022
8771	2^338945+138605	102033	Stefano Morozzi	05/2022
8772	2^338943+95133	102033	Stefano Morozzi	11/2022
8773	2^338943+147435	102033	Stefano Morozzi	11/2022
8774	2^338943-116067	102033	Stefano Morozzi	01/2023
8775	2^338940+78607	102032	Stefano Morozzi	01/2022
8776	2^338942-86687	102032	Stefano Morozzi	12/2022
8777	2^338939+151569	102031	Stefano Morozzi	12/2021
8778	2^338938+183975	102031	Stefano Morozzi	03/2022
8779	2^338937-33429	102031	Stefano Morozzi	04/2022
8780	2^338939-183259	102031	Stefano Morozzi	04/2022
8781	2^338937-139951	102031	Stefano Morozzi	01/2023
8782	2^338938-40151	102031	Stefano Morozzi	01/2023
8783	2^338938+74449	102031	Stefano Morozzi	02/2023
8784	2^338935+179999	102030	Stefano Morozzi	01/2022
8785	2^338936+84147	102030	Stefano Morozzi	03/2022
8786	2^338935+171261	102030	Stefano Morozzi	11/2022
8787	2^338936-41355	102030	Stefano Morozzi	01/2023
8788	2^338931+2349	102029	Stefano Morozzi	12/2021
8789	2^338933+79935	102029	Stefano Morozzi	01/2022
8790	2^338930+33819	102029	Stefano Morozzi	03/2022
8791	2^338931-31555	102029	Stefano Morozzi	03/2022
8792	2^338933+64169	102029	Stefano Morozzi	05/2022
8793	2^338932-184965	102029	Stefano Morozzi	06/2022
8794	2^338932+66943	102029	Stefano Morozzi	09/2022
8795	2^338932+92995	102029	Stefano Morozzi	09/2022
8796	2^338931+97001	102029	Stefano Morozzi	11/2022
8797	2^338932-165453	102029	Stefano Morozzi	01/2023
8798	2^338933-40899	102029	Stefano Morozzi	01/2023
8799	2^338928+2367	102028	Stefano Morozzi	12/2021
8800	2^338927+52779	102028	Stefano Morozzi	01/2022
8801	2^338927-79539	102028	Stefano Morozzi	02/2022
8802	2^338929+60819	102028	Stefano Morozzi	03/2022
8803	2^338928-156959	102028	Stefano Morozzi	03/2022
8804	2^338927-63919	102028	Stefano Morozzi	12/2022
8805	2^338925+106631	102027	Stefano Morozzi	01/2022
8806	2^338926+80235	102027	Stefano Morozzi	01/2022
8807	2^338926+41607	102027	Stefano Morozzi	09/2022
8808	2^338925+195435	102027	Stefano Morozzi	11/2022
8809	2^338924-92885	102027	Stefano Morozzi	02/2023
8810	2^338922-27291	102026	Stefano Morozzi	12/2021
8811	2^338919-103849	102025	Stefano Morozzi	01/2022
8812	2^338919+130221	102025	Stefano Morozzi	01/2022
8813	2^338918-91967	102025	Stefano Morozzi	02/2023
8814	2^338917+561057	102025	Boyan Hu	03/2024
8815	2^338914-79121	102024	Stefano Morozzi	02/2022
8816	2^338916+134047	102024	Stefano Morozzi	03/2022
8817	2^338914-11315	102024	Stefano Morozzi	12/2022
8818	2^338910+81027	102023	Stefano Morozzi	01/2022
8819	2^338912+179821	102023	Stefano Morozzi	01/2022
8820	2^338909+100769	102022	Stefano Morozzi	11/2021
8821	2^338908-100839	102022	Stefano Morozzi	12/2021
8822	2^338909-25951	102022	Stefano Morozzi	12/2021
8823	2^338909+66845	102022	Stefano Morozzi	09/2022
8824	2^338907+73509	102022	Stefano Morozzi	11/2022
8825	2^338906-25823	102021	Stefano Morozzi	12/2021
8826	2^338904+75951	102021	Stefano Morozzi	12/2021
8827	2^338906+6685	102021	Stefano Morozzi	01/2022
8828	2^338905+160365	102021	Stefano Morozzi	03/2022
8829	2^338906+92617	102021	Stefano Morozzi	09/2022
8830	2^338904+47065	102021	Stefano Morozzi	11/2022
8831	2^338905+70427	102021	Stefano Morozzi	11/2022
8832	2^338905-163975	102021	Stefano Morozzi	12/2022
8833	2^338903+4155	102020	Stefano Morozzi	01/2022
8834	2^338901+55571	102020	Stefano Morozzi	01/2022
8835	2^338901-55479	102020	Stefano Morozzi	02/2022
8836	2^338903+33555	102020	Stefano Morozzi	03/2022
8837	2^338901+39777	102020	Stefano Morozzi	05/2022
8838	2^338903+165981	102020	Stefano Morozzi	06/2022
8839	2^338901-34863	102020	Stefano Morozzi	06/2022
8840	2^338899-150051	102019	Stefano Morozzi	12/2021
8841	2^338899+125951	102019	Stefano Morozzi	12/2021
8842	2^338898+179623	102019	Stefano Morozzi	01/2022
8843	2^338899-154467	102019	Stefano Morozzi	02/2022
8844	2^338898-60753	102019	Stefano Morozzi	06/2022
8845	2^338898+68635	102019	Stefano Morozzi	09/2022
8846	2^338897-85963	102019	Stefano Morozzi	12/2022
8847	2^338898+174129	102019	Stefano Morozzi	02/2023
8848	2^338894-133295	102018	Stefano Morozzi	04/2022
8849	2^338894+165573	102018	Stefano Morozzi	06/2022
8850	2^338894-60957	102018	Stefano Morozzi	06/2022
8851	2^338894-89463	102018	Stefano Morozzi	01/2023
8861	2^338891-18885	102017	Enzo Doria	05/2013
8852	2^338891+26499	102017	Stefano Morozzi	12/2021
8853	2^338891-2625	102017	Stefano Morozzi	12/2021
8854	2^338893+128727	102017	Stefano Morozzi	01/2022
8855	2^338890-52965	102017	Stefano Morozzi	01/2022
8856	2^338892-55467	102017	Stefano Morozzi	02/2022
8857	2^338892-83393	102017	Stefano Morozzi	04/2022
8858	2^338893+13649	102017	Stefano Morozzi	05/2022
8859	2^338892+117957	102017	Stefano Morozzi	09/2022
8860	2^338892-14643	102017	Stefano Morozzi	01/2023
8862	2^338887+154029	102016	Stefano Morozzi	01/2022
8863	2^338889-104293	102016	Stefano Morozzi	02/2022
8864	2^338887+147741	102016	Stefano Morozzi	11/2022
8865	2^338889+195975	102016	Stefano Morozzi	11/2022
8866	2^338889-117873	102016	Stefano Morozzi	02/2023
8867	2^338886+177159	102015	Stefano Morozzi	12/2021
8868	2^338885+40425	102015	Stefano Morozzi	06/2022
8869	2^338884-13053	102015	Stefano Morozzi	12/2022
8870	2^338885-112569	102015	Stefano Morozzi	12/2022
8871	2^338880+11341	102014	Stefano Morozzi	03/2022
8872	2^338880-160383	102014	Stefano Morozzi	06/2022
8873	2^338880-161627	102014	Stefano Morozzi	12/2022
8874	2^338879-1059	102013	Stefano Morozzi	12/2021
8875	2^338879-54525	102013	Stefano Morozzi	02/2022
8876	2^338877-82813	102013	Stefano Morozzi	03/2022
8877	2^338878-185883	102013	Stefano Morozzi	06/2022
8878	2^338879-60355	102013	Stefano Morozzi	06/2022
8879	2^338878+43719	102013	Stefano Morozzi	09/2022
8880	2^338879+122049	102013	Stefano Morozzi	11/2022
8881	2^338874-15063	102012	Stefano Morozzi	01/2023
8882	2^338874+148993	102012	Stefano Morozzi	02/2023
8883	2^338871+7679	102011	Stefano Morozzi	02/2022
8884	2^338872+61141	102011	Stefano Morozzi	03/2022
8885	2^338872-183923	102011	Stefano Morozzi	04/2022
8886	2^338873+19527	102011	Stefano Morozzi	09/2022
8887	2^338870+70719	102011	Stefano Morozzi	11/2022
8888	(19*10^102011+287)/9/3	102011	Alfred Reich	11/2022
8889	2^338870-37571	102011	Stefano Morozzi	12/2022
8890	2^338872-138573	102011	Stefano Morozzi	12/2022
8891	2^338873-63843	102011	Stefano Morozzi	12/2022
8892	2^338868-5985	102010	Stefano Morozzi	02/2022
8893	2^338867+38079	102010	Stefano Morozzi	05/2022
8894	2^338868+140437	102010	Stefano Morozzi	06/2022
8895	2^338868-110175	102010	Stefano Morozzi	06/2022
8896	2^338868+123337	102010	Stefano Morozzi	11/2022
8897	2^338867-13327	102010	Stefano Morozzi	12/2022
8898	2^338868-11279	102010	Stefano Morozzi	12/2022
8899	2^338868-115685	102010	Stefano Morozzi	01/2023
8900	2^338864+158191	102009	Stefano Morozzi	02/2022
8901	2^338865-39699	102009	Stefano Morozzi	01/2023
8902	2^338865-40789	102009	Stefano Morozzi	01/2023
8903	2^338862+60433	102008	Stefano Morozzi	03/2022
8904	2^338861-9453	102008	Stefano Morozzi	04/2022
8905	2^338861+98067	102008	Stefano Morozzi	11/2022
8906	2^338862+146545	102008	Stefano Morozzi	11/2022
8907	2^338863-186207	102008	Stefano Morozzi	12/2022
8908	2^338860-41429	102008	Stefano Morozzi	01/2023
8909	2^338862-115833	102008	Stefano Morozzi	01/2023
8910	2^338863+74259	102008	Stefano Morozzi	02/2023
8911	2^338863-193017	102008	Stefano Morozzi	02/2023
8912	2^338858-190185	102007	Stefano Morozzi	01/2023
8913	2^338855+102141	102006	Stefano Morozzi	12/2021
8914	2^338856-27173	102006	Stefano Morozzi	12/2021
8915	2^338856-102839	102006	Stefano Morozzi	01/2022
8916	2^338855+79629	102006	Stefano Morozzi	01/2022
8917	2^338856+47755	102006	Stefano Morozzi	11/2022
8918	2^338850+27987	102005	Stefano Morozzi	01/2022
8919	2^338853+111791	102005	Stefano Morozzi	04/2022
8920	2^338852+145797	102005	Stefano Morozzi	11/2022
8921	2^338852-88497	102005	Stefano Morozzi	12/2022
8922	2^338850+124843	102005	Stefano Morozzi	02/2023
8923	2^338853-167695	102005	Stefano Morozzi	02/2023
8924	2^338847+176013	102004	Stefano Morozzi	12/2021
8925	2^338847-2365	102004	Stefano Morozzi	12/2021
8926	2^338848+158941	102004	Stefano Morozzi	03/2022
8927	2^338848+16671	102004	Stefano Morozzi	06/2022
8928	2^338847-35061	102004	Stefano Morozzi	06/2022
8929	2^338848+145063	102004	Stefano Morozzi	11/2022
8930	2^338847-61885	102004	Stefano Morozzi	12/2022
8931	2^338845+135831	102003	Stefano Morozzi	03/2022
8932	2^338846+85695	102003	Stefano Morozzi	03/2022
8933	2^338845+186525	102003	Stefano Morozzi	04/2022
8934	2^338846-163473	102003	Stefano Morozzi	12/2022
8935	2^338844-16077	102003	Stefano Morozzi	01/2023
8936	2^338844-165143	102003	Stefano Morozzi	01/2023
8937	2^338843-127261	102002	Stefano Morozzi	12/2021
8938	2^338843+107205	102002	Stefano Morozzi	02/2022
8939	2^338842-33185	102002	Stefano Morozzi	04/2022
8940	2^338842+14227	102002	Stefano Morozzi	05/2022
8941	2^338842+147973	102002	Stefano Morozzi	11/2022
8949	8*10^102000+51	102001	Robert Price	08/2019
8942	2^338838+150837	102001	Stefano Morozzi	11/2021
8943	2^338838+141397	102001	Stefano Morozzi	06/2022
8944	2^338839+194363	102001	Stefano Morozzi	09/2022
8945	2^338838+95637	102001	Stefano Morozzi	11/2022
8946	2^338839+171545	102001	Stefano Morozzi	11/2022
8947	2^338837-40071	102001	Stefano Morozzi	01/2023
8948	2^338838-90251	102001	Stefano Morozzi	01/2023
8950	2^338835-150625	102000	Stefano Morozzi	12/2021
8951	2^338834-32877	102000	Stefano Morozzi	04/2022
8955	(2^338832+642)/2	101999	Stefano Morozzi	09/2020
8952	2^338833-100905	101999	Stefano Morozzi	12/2021
8953	2^338831+54419	101999	Stefano Morozzi	01/2022
8954	2^338831-63687	101999	Stefano Morozzi	12/2022
8963	2^338829-113239	101998	Enzo Doria	07/2014
8964	2^338828-113297	101998	Enzo Doria	07/2014
8956	2^338830+25017	101998	Stefano Morozzi	11/2021
8957	2^338831+321	101998	Stefano Morozzi	11/2021
8958	2^338827-26197	101998	Stefano Morozzi	12/2021
8959	2^338829+52727	101998	Stefano Morozzi	01/2022
8960	2^338827-55461	101998	Stefano Morozzi	02/2022
8961	2^338828-65859	101998	Stefano Morozzi	01/2023
8962	2^338829+99365	101998	Stefano Morozzi	02/2023
8965	2^338825-27453	101997	Stefano Morozzi	12/2021
8966	2^338824+89355	101997	Stefano Morozzi	05/2022
8967	2^338825-10995	101997	Stefano Morozzi	06/2022
8968	2^338824+149865	101997	Stefano Morozzi	02/2023
8969	2^338822+111175	101996	Stefano Morozzi	03/2022
8970	2^338822+187819	101996	Stefano Morozzi	04/2022
8971	2^338823+139545	101996	Stefano Morozzi	05/2022
8972	2^338823-184905	101996	Stefano Morozzi	06/2022
8973	2^338821-38919	101996	Stefano Morozzi	12/2022
8974	2^338820+41317	101995	Stefano Morozzi	06/2022
8975	2^338817+46019	101995	Stefano Morozzi	11/2022
8976	2^338820+148083	101995	Stefano Morozzi	11/2022
8977	2^338817-163251	101995	Stefano Morozzi	12/2022
8978	2^338819-63705	101995	Stefano Morozzi	12/2022
8979	2^338817-92509	101995	Stefano Morozzi	02/2023
8980	2^338815+151175	101994	Stefano Morozzi	12/2021
8981	2^338814-30011	101994	Stefano Morozzi	02/2022
8982	2^338814+12309	101994	Stefano Morozzi	04/2022
8983	2^338816-60647	101994	Stefano Morozzi	06/2022
8984	2^338816+171043	101994	Stefano Morozzi	11/2022
8985	2^338814-11513	101994	Stefano Morozzi	12/2022
8986	2^338811-126999	101993	Stefano Morozzi	12/2021
8987	2^338811+131621	101993	Stefano Morozzi	02/2022
8988	2^338812-107637	101993	Stefano Morozzi	03/2022
8989	2^338813+192725	101993	Stefano Morozzi	09/2022
8990	2^338812+94731	101993	Stefano Morozzi	11/2022
8991	2^338813+49205	101993	Stefano Morozzi	02/2023
8992	2^338809-152755	101992	Stefano Morozzi	01/2022
8993	2^338808+156531	101992	Stefano Morozzi	01/2022
8994	2^338808+7885	101992	Stefano Morozzi	02/2022
8995	2^338808-105797	101992	Stefano Morozzi	02/2022
8996	2^338807-35899	101992	Stefano Morozzi	06/2022
8997	2^338808-89175	101992	Stefano Morozzi	01/2023
8998	2^338808-91475	101992	Stefano Morozzi	01/2023
8999	2^338805+29879	101991	Stefano Morozzi	01/2022
9000	2^338805+157925	101991	Stefano Morozzi	02/2022

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Probable Primes Top 10000

(301149 PRPs in the top)