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	2^338677+102999	101952	Stefano Morozzi	01/2022
6752	2^338676+33381	101952	Stefano Morozzi	03/2022
6753	2^338677-82699	101952	Stefano Morozzi	03/2022
6754	2^338676-34299	101952	Stefano Morozzi	04/2022
6755	2^338675+188445	101952	Stefano Morozzi	05/2022
6756	2^338676+165271	101952	Stefano Morozzi	06/2022
6757	2^338674-187551	101952	Stefano Morozzi	12/2022
6758	2^338676-42243	101952	Stefano Morozzi	02/2023
6759	2^338671-55041	101951	Stefano Morozzi	02/2022
6760	2^338673-80203	101951	Stefano Morozzi	02/2022
6761	2^338672-182063	101951	Stefano Morozzi	03/2022
6762	2^338672+36667	101951	Stefano Morozzi	04/2022
6763	2^338668+2583	101950	Stefano Morozzi	12/2021
6764	2^338670-157001	101950	Stefano Morozzi	03/2022
6765	2^338669-8353	101950	Stefano Morozzi	04/2022
6766	2^338670+40635	101950	Stefano Morozzi	06/2022
6774	(2^338666+3154)/2	101949	Stefano Morozzi	09/2020
6767	2^338665+1577	101949	Stefano Morozzi	12/2021
6768	2^338665-51133	101949	Stefano Morozzi	12/2021
6769	2^338664+4345	101949	Stefano Morozzi	01/2022
6770	2^338666-128943	101949	Stefano Morozzi	01/2022
6771	2^338664+131535	101949	Stefano Morozzi	01/2022
6772	2^338667+14943	101949	Stefano Morozzi	05/2022
6773	2^338665+166637	101949	Stefano Morozzi	09/2022
6775	2^338662+31587	101948	Stefano Morozzi	02/2022
6776	2^338663-58375	101948	Stefano Morozzi	04/2022
6777	2^338663-107869	101948	Stefano Morozzi	04/2022
6778	2^338663+90435	101948	Stefano Morozzi	06/2022
6779	2^338661+70457	101948	Stefano Morozzi	11/2022
6780	2^338662+70519	101948	Stefano Morozzi	11/2022
6781	2^338663-39447	101948	Stefano Morozzi	01/2023
6782	2^338658-159191	101947	Stefano Morozzi	04/2022
6783	2^338659-159687	101947	Stefano Morozzi	04/2022
6784	2^338659+15543	101947	Stefano Morozzi	05/2022
6785	2^338658+44395	101947	Stefano Morozzi	09/2022
6786	2^338658+192537	101947	Stefano Morozzi	09/2022
6787	2^338659-90531	101947	Stefano Morozzi	01/2023
6788	2^338659-114759	101947	Stefano Morozzi	01/2023
6789	2^338659+124079	101947	Stefano Morozzi	02/2023
6790	2^338654+51027	101946	Stefano Morozzi	12/2021
6791	2^338656-152115	101946	Stefano Morozzi	12/2021
6792	2^338654+32415	101946	Stefano Morozzi	02/2022
6793	2^338654+39799	101946	Stefano Morozzi	05/2022
6794	2^338655+144579	101946	Stefano Morozzi	09/2022
6795	2^338657+97509	101946	Stefano Morozzi	11/2022
6796	2^338653+126629	101945	Stefano Morozzi	12/2021
6797	2^338653+33279	101945	Stefano Morozzi	02/2022
6798	2^338652-107097	101945	Stefano Morozzi	03/2022
6799	2^338653+94475	101945	Stefano Morozzi	09/2022
6800	2^338651+194073	101945	Stefano Morozzi	09/2022
6801	2^338652-89157	101945	Stefano Morozzi	01/2023
6802	2^338649-154663	101944	Stefano Morozzi	02/2022
6803	2^338650+61399	101944	Stefano Morozzi	04/2022
6804	2^338650-35655	101944	Stefano Morozzi	06/2022
6805	2^338650+169623	101944	Stefano Morozzi	09/2022
6806	2^338649-40743	101944	Stefano Morozzi	01/2023
6807	2^338645+150311	101943	Stefano Morozzi	11/2021
6808	2^338645+28481	101943	Stefano Morozzi	01/2022
6809	2^338647-77895	101943	Stefano Morozzi	01/2022
6810	2^338647-84607	101943	Stefano Morozzi	04/2022
6811	2^338647+164523	101943	Stefano Morozzi	05/2022
6812	2^338645+64845	101943	Stefano Morozzi	05/2022
6813	2^338644-35969	101943	Stefano Morozzi	12/2022
6814	2^338645-15715	101943	Stefano Morozzi	01/2023
6815	2^338641-152541	101942	Stefano Morozzi	12/2021
6816	2^338643-56487	101942	Stefano Morozzi	03/2022
6817	2^338642-186525	101942	Stefano Morozzi	12/2022
6818	2^338643-41715	101942	Stefano Morozzi	02/2023
6819	2^338638+100575	101941	Stefano Morozzi	12/2021
6820	2^338639-127461	101941	Stefano Morozzi	12/2021
6821	2^338640+187657	101941	Stefano Morozzi	04/2022
6822	2^338640+44431	101941	Stefano Morozzi	09/2022
6823	2^338635+1961	101940	Stefano Morozzi	12/2021
6824	2^338637+102125	101940	Stefano Morozzi	12/2021
6825	2^338636-135329	101940	Stefano Morozzi	06/2022
6826	2^338635+199485	101940	Stefano Morozzi	02/2023
6831	28594^3673+3673^28594	101939	Hans Havermann	02/2019
6827	2^338631+110741	101939	Stefano Morozzi	03/2022
6828	2^338631+112119	101939	Stefano Morozzi	04/2022
6829	2^338634-83097	101939	Stefano Morozzi	04/2022
6830	2^338633+139701	101939	Stefano Morozzi	05/2022
6832	2^338630-150341	101938	Stefano Morozzi	12/2021
6833	2^338630+12867	101938	Stefano Morozzi	04/2022
6834	2^338629+42147	101938	Stefano Morozzi	09/2022
6835	2^338628+121083	101938	Stefano Morozzi	11/2022
6836	2^338630+147235	101938	Stefano Morozzi	11/2022
6837	2^338628-37679	101938	Stefano Morozzi	12/2022
6838	2^338629-41383	101938	Stefano Morozzi	01/2023
6839	2^338628-91877	101938	Stefano Morozzi	02/2023
6840	2^338626-105875	101937	Stefano Morozzi	02/2022
6841	2^338625-111729	101937	Stefano Morozzi	12/2022
6842	2^338627+49299	101937	Stefano Morozzi	02/2023
6843	2^338621+33069	101936	Stefano Morozzi	02/2022
6844	2^338623-106405	101936	Stefano Morozzi	03/2022
6845	2^338621+61751	101936	Stefano Morozzi	04/2022
6846	2^338623-86577	101936	Stefano Morozzi	12/2022
6847	2^338620-150735	101935	Stefano Morozzi	12/2021
6848	2^338619-27765	101935	Stefano Morozzi	01/2022
6849	2^338619-77959	101935	Stefano Morozzi	01/2022
6850	2^338619-186367	101935	Stefano Morozzi	12/2022
6851	2^338618-64905	101935	Stefano Morozzi	01/2023
6852	2^338615+151655	101934	Stefano Morozzi	12/2021
6853	2^338616+5047	101934	Stefano Morozzi	01/2022
6854	2^338616+39705	101934	Stefano Morozzi	05/2022
6855	2^338617+149321	101934	Stefano Morozzi	02/2023
6856	2^338611+76659	101933	Stefano Morozzi	12/2021
6857	2^338613-109791	101933	Stefano Morozzi	04/2022
6858	2^338612+119583	101933	Stefano Morozzi	09/2022
6859	2^338611-140397	101933	Stefano Morozzi	01/2023
6860	2^338614-39653	101933	Stefano Morozzi	01/2023
6861	2^338609+130139	101932	Stefano Morozzi	01/2022
6862	2^338609+131327	101932	Stefano Morozzi	01/2022
6863	2^338608-155453	101932	Stefano Morozzi	02/2022
6864	2^338609+161721	101932	Stefano Morozzi	04/2022
6865	2^338609-10405	101932	Stefano Morozzi	06/2022
6866	2^338608+94017	101932	Stefano Morozzi	09/2022
6867	2^338610+170515	101932	Stefano Morozzi	11/2022
6868	2^338607+30611	101931	Stefano Morozzi	01/2022
6869	2^338607+106695	101931	Stefano Morozzi	02/2022
6870	2^338606-32291	101931	Stefano Morozzi	03/2022
6871	2^338606+15195	101931	Stefano Morozzi	05/2022
6872	2^338605+197789	101931	Stefano Morozzi	11/2022
6873	2^338607-90621	101931	Stefano Morozzi	01/2023
6874	2^338603-1195	101930	Stefano Morozzi	12/2021
6875	2^338601+108867	101930	Stefano Morozzi	03/2022
6876	2^338603+34311	101930	Stefano Morozzi	03/2022
6877	2^338598+57127	101929	Stefano Morozzi	02/2022
6878	2^338598+162645	101929	Stefano Morozzi	04/2022
6879	2^338599+43445	101929	Stefano Morozzi	09/2022
6880	2^338599+19485	101929	Stefano Morozzi	09/2022
6881	2^338598+46195	101929	Stefano Morozzi	11/2022
6882	2^338600-36393	101929	Stefano Morozzi	12/2022
6883	2^338596-1739	101928	Stefano Morozzi	12/2021
6884	2^338595-78687	101928	Stefano Morozzi	01/2022
6885	2^338595+181683	101928	Stefano Morozzi	02/2022
6886	2^338597-106045	101928	Stefano Morozzi	02/2022
6887	2^338595+119565	101928	Stefano Morozzi	09/2022
6888	2^338595+19623	101928	Stefano Morozzi	09/2022
6889	2^338595+21711	101928	Stefano Morozzi	11/2022
6890	2^338596-111129	101928	Stefano Morozzi	12/2022
6891	2^338591+53769	101927	Stefano Morozzi	01/2022
6892	2^338593+156989	101927	Stefano Morozzi	02/2022
6893	2^338592+36157	101927	Stefano Morozzi	03/2022
6894	2^338593+42099	101927	Stefano Morozzi	09/2022
6895	2^338591+46685	101927	Stefano Morozzi	11/2022
6896	2^338593+120437	101927	Stefano Morozzi	11/2022
6897	2^338591-165517	101927	Stefano Morozzi	01/2023
6898	2^338592-166107	101927	Stefano Morozzi	01/2023
6899	2^338592-189249	101927	Stefano Morozzi	01/2023
6900	2^338594-40493	101927	Stefano Morozzi	01/2023
6901	2^338590+182007	101926	Stefano Morozzi	02/2022
6902	2^338590+60747	101926	Stefano Morozzi	03/2022
6903	2^338588+62397	101926	Stefano Morozzi	04/2022
6904	2^338589-9685	101926	Stefano Morozzi	04/2022
6905	2^338588+73765	101926	Stefano Morozzi	02/2023
6906	2^338589-16915	101926	Stefano Morozzi	02/2023
6913	(2^338587+2306)/2	101925	Stefano Morozzi	02/2021
6907	2^338586+1153	101925	Stefano Morozzi	12/2021
6908	2^338587-51709	101925	Stefano Morozzi	12/2021
6909	2^338586+105303	101925	Stefano Morozzi	01/2022
6910	2^338585-131773	101925	Stefano Morozzi	03/2022
6911	2^338587+168039	101925	Stefano Morozzi	09/2022
6912	2^338585-140719	101925	Stefano Morozzi	01/2023
6914	2^338584+100771	101924	Stefano Morozzi	11/2021
6915	2^338581-150415	101924	Stefano Morozzi	12/2021
6916	2^338581-2349	101924	Stefano Morozzi	12/2021
6917	2^338582+42933	101924	Stefano Morozzi	09/2022
6918	2^338584+93267	101924	Stefano Morozzi	09/2022
6919	2^338582-86697	101924	Stefano Morozzi	12/2022
6920	2^338582-138035	101924	Stefano Morozzi	12/2022
6921	2^338584-115569	101924	Stefano Morozzi	01/2023
6922	2^338581-92793	101924	Stefano Morozzi	02/2023
6923	2^338578+67593	101923	Stefano Morozzi	09/2022
6924	2^338580+142201	101923	Stefano Morozzi	09/2022
6925	2^338579-14635	101923	Stefano Morozzi	01/2023
6926	2^338579-164985	101923	Stefano Morozzi	01/2023
6927	2^338575-28815	101922	Stefano Morozzi	01/2022
6928	2^338575-33645	101922	Stefano Morozzi	04/2022
6929	2^338577-92239	101922	Stefano Morozzi	02/2023
6930	2^338573-156693	101921	Stefano Morozzi	03/2022
6931	2^338572+193305	101921	Stefano Morozzi	09/2022
6932	2^338573+173751	101921	Stefano Morozzi	02/2023
6933	2^338574+73707	101921	Stefano Morozzi	02/2023
6938	2^338568+37	101920	Lelio R Paula	07/2011
6934	2^338570-53933	101920	Stefano Morozzi	02/2022
6935	2^338569+87201	101920	Stefano Morozzi	04/2022
6936	2^338570-36897	101920	Stefano Morozzi	12/2022
6937	2^338570-61157	101920	Stefano Morozzi	12/2022
6939	2^338567-9619	101919	Stefano Morozzi	04/2022
6940	2^338565-141589	101919	Stefano Morozzi	01/2023
6941	2^338565+148821	101919	Stefano Morozzi	02/2023
6942	2^338564-56763	101918	Stefano Morozzi	03/2022
6943	2^338561+112007	101918	Stefano Morozzi	04/2022
6944	2^338561-9315	101918	Stefano Morozzi	04/2022
6945	2^338564+41965	101918	Stefano Morozzi	09/2022
6946	2^338561+121139	101918	Stefano Morozzi	11/2022
6947	2^338562+21799	101918	Stefano Morozzi	11/2022
6955	2^338559-1858777	101917	Enzo Doria	04/2016
6948	2^338558+4825	101917	Stefano Morozzi	01/2022
6949	2^338559-127935	101917	Stefano Morozzi	01/2022
6950	2^338560+154891	101917	Stefano Morozzi	01/2022
6951	2^338559+131885	101917	Stefano Morozzi	02/2022
6952	2^338558+93735	101917	Stefano Morozzi	09/2022
6953	2^338559-90957	101917	Stefano Morozzi	01/2023
6954	2^338559-190761	101917	Stefano Morozzi	01/2023
6956	2^338555+189981	101916	Stefano Morozzi	05/2022
6957	2^338553-125383	101915	Stefano Morozzi	12/2021
6958	2^338554-82821	101915	Stefano Morozzi	03/2022
6959	2^338548+76923	101914	Stefano Morozzi	12/2021
6960	2^338549+158517	101914	Stefano Morozzi	03/2022
6961	2^338549+85397	101914	Stefano Morozzi	03/2022
6962	2^338548+138121	101914	Stefano Morozzi	05/2022
6963	2^338550-110301	101914	Stefano Morozzi	06/2022
6964	2^338547+129321	101913	Stefano Morozzi	01/2022
6965	2^338547-153481	101913	Stefano Morozzi	01/2022
6966	2^338545-11059	101913	Stefano Morozzi	12/2022
6967	2^338544+107853	101912	Stefano Morozzi	02/2022
6968	2^338542+172813	101912	Stefano Morozzi	11/2022
6969	2^338544-12687	101912	Stefano Morozzi	12/2022
6970	2^338543-140677	101912	Stefano Morozzi	01/2023
6971	2^338541+152721	101911	Stefano Morozzi	01/2022
6972	2^338539+60825	101911	Stefano Morozzi	03/2022
6973	2^338539+160881	101911	Stefano Morozzi	03/2022
6974	2^338541-182523	101911	Stefano Morozzi	03/2022
6975	2^338540+87645	101911	Stefano Morozzi	04/2022
6976	2^338541+148305	101911	Stefano Morozzi	11/2022
6977	2^338541-163075	101911	Stefano Morozzi	12/2022
6978	2^338536-100785	101910	Stefano Morozzi	12/2021
6979	2^338535-51837	101910	Stefano Morozzi	12/2021
6980	2^338535-158745	101910	Stefano Morozzi	04/2022
6981	2^338536-189977	101910	Stefano Morozzi	01/2023
6982	2^338537-65623	101910	Stefano Morozzi	01/2023
6983	2^338532+39445	101909	Stefano Morozzi	05/2022
6984	2^338532+141415	101909	Stefano Morozzi	06/2022
6985	2^338532-136037	101909	Stefano Morozzi	06/2022
6986	2^338531+81081	101908	Stefano Morozzi	01/2022
6987	2^338530+59835	101908	Stefano Morozzi	03/2022
6988	2^338529+186551	101908	Stefano Morozzi	04/2022
6989	2^338531+61313	101908	Stefano Morozzi	04/2022
6990	2^338531-9277	101908	Stefano Morozzi	04/2022
6991	2^338528-92727	101908	Stefano Morozzi	02/2023
6992	2^338527+191205	101907	Stefano Morozzi	06/2022
6993	2^338525+99621	101907	Stefano Morozzi	02/2023
6994	2^338524+54421	101906	Stefano Morozzi	01/2022
6995	2^338522-155811	101906	Stefano Morozzi	02/2022
6996	2^338523-16291	101906	Stefano Morozzi	01/2023
6997	2^338522-142137	101906	Stefano Morozzi	02/2023
6998	2^338521+183131	101905	Stefano Morozzi	02/2022
6999	2^338520+34945	101905	Stefano Morozzi	03/2022
7000	2^338518-182885	101905	Stefano Morozzi	04/2022

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