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 ?
6751	2^338905+160365	102021	Stefano Morozzi	03/2022
6752	2^338906+92617	102021	Stefano Morozzi	09/2022
6753	2^338904+47065	102021	Stefano Morozzi	11/2022
6754	2^338905+70427	102021	Stefano Morozzi	11/2022
6755	2^338905-163975	102021	Stefano Morozzi	12/2022
6756	2^338903+4155	102020	Stefano Morozzi	01/2022
6757	2^338901+55571	102020	Stefano Morozzi	01/2022
6758	2^338901-55479	102020	Stefano Morozzi	02/2022
6759	2^338903+33555	102020	Stefano Morozzi	03/2022
6760	2^338901+39777	102020	Stefano Morozzi	05/2022
6761	2^338903+165981	102020	Stefano Morozzi	06/2022
6762	2^338901-34863	102020	Stefano Morozzi	06/2022
6763	2^338899-150051	102019	Stefano Morozzi	12/2021
6764	2^338899+125951	102019	Stefano Morozzi	12/2021
6765	2^338898+179623	102019	Stefano Morozzi	01/2022
6766	2^338899-154467	102019	Stefano Morozzi	02/2022
6767	2^338898-60753	102019	Stefano Morozzi	06/2022
6768	2^338898+68635	102019	Stefano Morozzi	09/2022
6769	2^338897-85963	102019	Stefano Morozzi	12/2022
6770	2^338898+174129	102019	Stefano Morozzi	02/2023
6771	2^338894-133295	102018	Stefano Morozzi	04/2022
6772	2^338894+165573	102018	Stefano Morozzi	06/2022
6773	2^338894-60957	102018	Stefano Morozzi	06/2022
6774	2^338894-89463	102018	Stefano Morozzi	01/2023
6784	2^338891-18885	102017	Enzo Doria	05/2013
6775	2^338891+26499	102017	Stefano Morozzi	12/2021
6776	2^338891-2625	102017	Stefano Morozzi	12/2021
6777	2^338893+128727	102017	Stefano Morozzi	01/2022
6778	2^338890-52965	102017	Stefano Morozzi	01/2022
6779	2^338892-55467	102017	Stefano Morozzi	02/2022
6780	2^338892-83393	102017	Stefano Morozzi	04/2022
6781	2^338893+13649	102017	Stefano Morozzi	05/2022
6782	2^338892+117957	102017	Stefano Morozzi	09/2022
6783	2^338892-14643	102017	Stefano Morozzi	01/2023
6785	2^338887+154029	102016	Stefano Morozzi	01/2022
6786	2^338889-104293	102016	Stefano Morozzi	02/2022
6787	2^338887+147741	102016	Stefano Morozzi	11/2022
6788	2^338889+195975	102016	Stefano Morozzi	11/2022
6789	2^338889-117873	102016	Stefano Morozzi	02/2023
6790	2^338886+177159	102015	Stefano Morozzi	12/2021
6791	2^338885+40425	102015	Stefano Morozzi	06/2022
6792	2^338884-13053	102015	Stefano Morozzi	12/2022
6793	2^338885-112569	102015	Stefano Morozzi	12/2022
6794	2^338880+11341	102014	Stefano Morozzi	03/2022
6795	2^338880-160383	102014	Stefano Morozzi	06/2022
6796	2^338880-161627	102014	Stefano Morozzi	12/2022
6797	2^338879-1059	102013	Stefano Morozzi	12/2021
6798	2^338879-54525	102013	Stefano Morozzi	02/2022
6799	2^338877-82813	102013	Stefano Morozzi	03/2022
6800	2^338878-185883	102013	Stefano Morozzi	06/2022
6801	2^338879-60355	102013	Stefano Morozzi	06/2022
6802	2^338878+43719	102013	Stefano Morozzi	09/2022
6803	2^338879+122049	102013	Stefano Morozzi	11/2022
6804	2^338874-15063	102012	Stefano Morozzi	01/2023
6805	2^338874+148993	102012	Stefano Morozzi	02/2023
6806	2^338871+7679	102011	Stefano Morozzi	02/2022
6807	2^338872+61141	102011	Stefano Morozzi	03/2022
6808	2^338872-183923	102011	Stefano Morozzi	04/2022
6809	2^338873+19527	102011	Stefano Morozzi	09/2022
6810	2^338870+70719	102011	Stefano Morozzi	11/2022
6811	(19*10^102011+287)/9/3	102011	Alfred Reich	11/2022
6812	2^338870-37571	102011	Stefano Morozzi	12/2022
6813	2^338872-138573	102011	Stefano Morozzi	12/2022
6814	2^338873-63843	102011	Stefano Morozzi	12/2022
6815	2^338868-5985	102010	Stefano Morozzi	02/2022
6816	2^338867+38079	102010	Stefano Morozzi	05/2022
6817	2^338868+140437	102010	Stefano Morozzi	06/2022
6818	2^338868-110175	102010	Stefano Morozzi	06/2022
6819	2^338868+123337	102010	Stefano Morozzi	11/2022
6820	2^338867-13327	102010	Stefano Morozzi	12/2022
6821	2^338868-11279	102010	Stefano Morozzi	12/2022
6822	2^338868-115685	102010	Stefano Morozzi	01/2023
6823	2^338864+158191	102009	Stefano Morozzi	02/2022
6824	2^338865-39699	102009	Stefano Morozzi	01/2023
6825	2^338865-40789	102009	Stefano Morozzi	01/2023
6826	2^338862+60433	102008	Stefano Morozzi	03/2022
6827	2^338861-9453	102008	Stefano Morozzi	04/2022
6828	2^338861+98067	102008	Stefano Morozzi	11/2022
6829	2^338862+146545	102008	Stefano Morozzi	11/2022
6830	2^338863-186207	102008	Stefano Morozzi	12/2022
6831	2^338860-41429	102008	Stefano Morozzi	01/2023
6832	2^338862-115833	102008	Stefano Morozzi	01/2023
6833	2^338863+74259	102008	Stefano Morozzi	02/2023
6834	2^338863-193017	102008	Stefano Morozzi	02/2023
6835	2^338858-190185	102007	Stefano Morozzi	01/2023
6836	2^338855+102141	102006	Stefano Morozzi	12/2021
6837	2^338856-27173	102006	Stefano Morozzi	12/2021
6838	2^338856-102839	102006	Stefano Morozzi	01/2022
6839	2^338855+79629	102006	Stefano Morozzi	01/2022
6840	2^338856+47755	102006	Stefano Morozzi	11/2022
6841	2^338850+27987	102005	Stefano Morozzi	01/2022
6842	2^338853+111791	102005	Stefano Morozzi	04/2022
6843	2^338852+145797	102005	Stefano Morozzi	11/2022
6844	2^338852-88497	102005	Stefano Morozzi	12/2022
6845	2^338850+124843	102005	Stefano Morozzi	02/2023
6846	2^338853-167695	102005	Stefano Morozzi	02/2023
6847	2^338847+176013	102004	Stefano Morozzi	12/2021
6848	2^338847-2365	102004	Stefano Morozzi	12/2021
6849	2^338848+158941	102004	Stefano Morozzi	03/2022
6850	2^338848+16671	102004	Stefano Morozzi	06/2022
6851	2^338847-35061	102004	Stefano Morozzi	06/2022
6852	2^338848+145063	102004	Stefano Morozzi	11/2022
6853	2^338847-61885	102004	Stefano Morozzi	12/2022
6854	2^338845+135831	102003	Stefano Morozzi	03/2022
6855	2^338846+85695	102003	Stefano Morozzi	03/2022
6856	2^338845+186525	102003	Stefano Morozzi	04/2022
6857	2^338846-163473	102003	Stefano Morozzi	12/2022
6858	2^338844-16077	102003	Stefano Morozzi	01/2023
6859	2^338844-165143	102003	Stefano Morozzi	01/2023
6860	2^338843-127261	102002	Stefano Morozzi	12/2021
6861	2^338843+107205	102002	Stefano Morozzi	02/2022
6862	2^338842-33185	102002	Stefano Morozzi	04/2022
6863	2^338842+14227	102002	Stefano Morozzi	05/2022
6864	2^338842+147973	102002	Stefano Morozzi	11/2022
6872	8*10^102000+51	102001	Robert Price	08/2019
6865	2^338838+150837	102001	Stefano Morozzi	11/2021
6866	2^338838+141397	102001	Stefano Morozzi	06/2022
6867	2^338839+194363	102001	Stefano Morozzi	09/2022
6868	2^338838+95637	102001	Stefano Morozzi	11/2022
6869	2^338839+171545	102001	Stefano Morozzi	11/2022
6870	2^338837-40071	102001	Stefano Morozzi	01/2023
6871	2^338838-90251	102001	Stefano Morozzi	01/2023
6873	2^338835-150625	102000	Stefano Morozzi	12/2021
6874	2^338834-32877	102000	Stefano Morozzi	04/2022
6878	(2^338832+642)/2	101999	Stefano Morozzi	09/2020
6875	2^338833-100905	101999	Stefano Morozzi	12/2021
6876	2^338831+54419	101999	Stefano Morozzi	01/2022
6877	2^338831-63687	101999	Stefano Morozzi	12/2022
6886	2^338829-113239	101998	Enzo Doria	07/2014
6887	2^338828-113297	101998	Enzo Doria	07/2014
6879	2^338830+25017	101998	Stefano Morozzi	11/2021
6880	2^338831+321	101998	Stefano Morozzi	11/2021
6881	2^338827-26197	101998	Stefano Morozzi	12/2021
6882	2^338829+52727	101998	Stefano Morozzi	01/2022
6883	2^338827-55461	101998	Stefano Morozzi	02/2022
6884	2^338828-65859	101998	Stefano Morozzi	01/2023
6885	2^338829+99365	101998	Stefano Morozzi	02/2023
6888	2^338825-27453	101997	Stefano Morozzi	12/2021
6889	2^338824+89355	101997	Stefano Morozzi	05/2022
6890	2^338825-10995	101997	Stefano Morozzi	06/2022
6891	2^338824+149865	101997	Stefano Morozzi	02/2023
6892	2^338822+111175	101996	Stefano Morozzi	03/2022
6893	2^338822+187819	101996	Stefano Morozzi	04/2022
6894	2^338823+139545	101996	Stefano Morozzi	05/2022
6895	2^338823-184905	101996	Stefano Morozzi	06/2022
6896	2^338821-38919	101996	Stefano Morozzi	12/2022
6897	2^338820+41317	101995	Stefano Morozzi	06/2022
6898	2^338817+46019	101995	Stefano Morozzi	11/2022
6899	2^338820+148083	101995	Stefano Morozzi	11/2022
6900	2^338817-163251	101995	Stefano Morozzi	12/2022
6901	2^338819-63705	101995	Stefano Morozzi	12/2022
6902	2^338817-92509	101995	Stefano Morozzi	02/2023
6903	2^338815+151175	101994	Stefano Morozzi	12/2021
6904	2^338814-30011	101994	Stefano Morozzi	02/2022
6905	2^338814+12309	101994	Stefano Morozzi	04/2022
6906	2^338816-60647	101994	Stefano Morozzi	06/2022
6907	2^338816+171043	101994	Stefano Morozzi	11/2022
6908	2^338814-11513	101994	Stefano Morozzi	12/2022
6909	2^338811-126999	101993	Stefano Morozzi	12/2021
6910	2^338811+131621	101993	Stefano Morozzi	02/2022
6911	2^338812-107637	101993	Stefano Morozzi	03/2022
6912	2^338813+192725	101993	Stefano Morozzi	09/2022
6913	2^338812+94731	101993	Stefano Morozzi	11/2022
6914	2^338813+49205	101993	Stefano Morozzi	02/2023
6915	2^338809-152755	101992	Stefano Morozzi	01/2022
6916	2^338808+156531	101992	Stefano Morozzi	01/2022
6917	2^338808+7885	101992	Stefano Morozzi	02/2022
6918	2^338808-105797	101992	Stefano Morozzi	02/2022
6919	2^338807-35899	101992	Stefano Morozzi	06/2022
6920	2^338808-89175	101992	Stefano Morozzi	01/2023
6921	2^338808-91475	101992	Stefano Morozzi	01/2023
6922	2^338805+29879	101991	Stefano Morozzi	01/2022
6923	2^338805+157925	101991	Stefano Morozzi	02/2022
6924	2^338804-6809	101991	Stefano Morozzi	03/2022
6925	2^338806-157095	101991	Stefano Morozzi	03/2022
6926	2^338804-133173	101991	Stefano Morozzi	04/2022
6927	2^338805-115189	101991	Stefano Morozzi	01/2023
6928	2^338802+150403	101990	Stefano Morozzi	11/2021
6929	2^338801+154587	101990	Stefano Morozzi	01/2022
6930	2^338802-180603	101990	Stefano Morozzi	02/2022
6931	2^338803-31921	101990	Stefano Morozzi	03/2022
6932	2^338803-81735	101990	Stefano Morozzi	03/2022
6933	2^338803+195141	101990	Stefano Morozzi	11/2022
6934	2^338800+160141	101989	Stefano Morozzi	03/2022
6935	2^338797-82489	101989	Stefano Morozzi	03/2022
6940	2^338796+93	101988	Donovan Johnson	06/2008
6936	2^338795+455	101988	Stefano Morozzi	11/2021
6937	2^338795-102075	101988	Stefano Morozzi	12/2021
6938	2^338794-3483	101988	Stefano Morozzi	01/2022
6939	2^338796+179641	101988	Stefano Morozzi	01/2022
6941	2^338793-5155	101987	Stefano Morozzi	02/2022
6942	2^338793+111107	101987	Stefano Morozzi	03/2022
6943	2^338791+112083	101987	Stefano Morozzi	04/2022
6944	2^338792-85097	101987	Stefano Morozzi	06/2022
6945	(61*10^101986+47)/9	101987	Robert Price	07/2022
6946	2^338787+53309	101986	Stefano Morozzi	01/2022
6947	2^338787-153817	101986	Stefano Morozzi	01/2022
6948	2^338789+56229	101986	Stefano Morozzi	01/2022
6949	2^338790+6429	101986	Stefano Morozzi	01/2022
6950	2^338788+131701	101986	Stefano Morozzi	02/2022
6951	2^338785+104639	101985	Stefano Morozzi	01/2022
6952	2^338784+37591	101985	Stefano Morozzi	04/2022
6953	2^338786-9831	101985	Stefano Morozzi	04/2022
6954	2^338783+109065	101984	Stefano Morozzi	03/2022
6955	2^338779+86711	101983	Stefano Morozzi	04/2022
6956	2^338778+113589	101983	Stefano Morozzi	05/2022
6957	2^338775-30369	101982	Stefano Morozzi	02/2022
6958	2^338774+159135	101982	Stefano Morozzi	03/2022
6959	2^338776+113001	101982	Stefano Morozzi	04/2022
6960	2^338774+117039	101982	Stefano Morozzi	09/2022
6961	2^338775+167109	101982	Stefano Morozzi	09/2022
6962	2^338774+147595	101982	Stefano Morozzi	11/2022
6963	2^338772+42733	101981	Stefano Morozzi	09/2022
6964	2^338771-138805	101981	Stefano Morozzi	12/2022
6965	2^338768-181007	101980	Stefano Morozzi	02/2022
6966	2^338768+108807	101980	Stefano Morozzi	03/2022
6967	2^338767+169155	101980	Stefano Morozzi	09/2022
6968	2^338769+95369	101980	Stefano Morozzi	11/2022
6969	2^338769+195965	101980	Stefano Morozzi	11/2022
6970	2^338770-12725	101980	Stefano Morozzi	12/2022
6971	2^338768-140843	101980	Stefano Morozzi	01/2023
6972	2^338764+138013	101979	Stefano Morozzi	04/2022
6973	2^338765-160323	101979	Stefano Morozzi	06/2022
6974	2^338765+124545	101979	Stefano Morozzi	02/2023
6980	lucasU(1373,1,32502)-lucasU(1373,1,32501)	101978	Mike Oakes	05/2009
6975	2^338761+103671	101978	Stefano Morozzi	01/2022
6976	2^338763-7651	101978	Stefano Morozzi	03/2022
6977	2^338763+65591	101978	Stefano Morozzi	06/2022
6978	2^338762-111875	101978	Stefano Morozzi	12/2022
6979	2^338762-192237	101978	Stefano Morozzi	02/2023
6981	2^338757-5151	101977	Stefano Morozzi	02/2022
6982	2^338760-79037	101977	Stefano Morozzi	02/2022
6983	2^338757-82143	101977	Stefano Morozzi	03/2022
6984	2^338757+137007	101977	Stefano Morozzi	04/2022
6985	2^338755+158531	101976	Stefano Morozzi	03/2022
6986	2^338755+74081	101976	Stefano Morozzi	02/2023
6987	2^338752-153353	101975	Stefano Morozzi	01/2022
6988	2^338751+8001	101975	Stefano Morozzi	02/2022
6989	2^338752+32977	101975	Stefano Morozzi	02/2022
6990	2^338753-79233	101975	Stefano Morozzi	02/2022
6991	2^338752-88157	101975	Stefano Morozzi	12/2022
6992	2^338750-175625	101974	Stefano Morozzi	12/2021
6993	2^338747-2731	101974	Stefano Morozzi	12/2021
6994	2^338750-29597	101974	Stefano Morozzi	02/2022
6995	2^338748+35095	101974	Stefano Morozzi	03/2022
6996	2^338747+137475	101974	Stefano Morozzi	04/2022
6997	2^338747+162005	101974	Stefano Morozzi	04/2022
6998	2^338750+162237	101974	Stefano Morozzi	04/2022
6999	2^338747-184365	101974	Stefano Morozzi	04/2022
7000	2^338748+64341	101974	Stefano Morozzi	05/2022

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PRP Records

Probable Primes Top 10000

(293510 PRPs in the top)