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 ?
9001	2^338713-30895	101963	Stefano Morozzi	02/2022
9002	2^338712-132545	101963	Stefano Morozzi	03/2022
9003	2^338713+87825	101963	Stefano Morozzi	04/2022
9004	2^338712+190333	101963	Stefano Morozzi	06/2022
9005	2^338709-154429	101962	Stefano Morozzi	02/2022
9006	2^338710+140545	101962	Stefano Morozzi	06/2022
9007	2^338706-102917	101961	Stefano Morozzi	01/2022
9008	2^338705+34727	101961	Stefano Morozzi	03/2022
9009	2^338706-165633	101961	Stefano Morozzi	01/2023
9010	2^338707-116115	101961	Stefano Morozzi	01/2023
9011	2^338698+104083	101959	Stefano Morozzi	01/2022
9012	2^338700-184565	101959	Stefano Morozzi	04/2022
9013	2^338700+189777	101959	Stefano Morozzi	05/2022
9014	2^338698+41779	101959	Stefano Morozzi	09/2022
9015	2^338699+148533	101959	Stefano Morozzi	11/2022
9016	2^338700+97381	101959	Stefano Morozzi	11/2022
9017	2^338698-142181	101959	Stefano Morozzi	02/2023
9018	2^338696+181671	101958	Stefano Morozzi	02/2022
9019	2^338697+146651	101958	Stefano Morozzi	11/2022
9020	2^338695-116977	101958	Stefano Morozzi	02/2023
9021	2^338692+106297	101957	Stefano Morozzi	01/2022
9022	2^338692+33195	101957	Stefano Morozzi	02/2022
9023	2^338692+110505	101957	Stefano Morozzi	03/2022
9024	2^338692+190093	101957	Stefano Morozzi	05/2022
9025	2^338692+173343	101957	Stefano Morozzi	11/2022
9026	2^338693+144975	101957	Stefano Morozzi	11/2022
9027	2^338692+149281	101957	Stefano Morozzi	02/2023
9028	2^338688+82203	101956	Stefano Morozzi	02/2022
9029	2^338689+82365	101956	Stefano Morozzi	02/2022
9030	2^338688-92159	101956	Stefano Morozzi	02/2023
9031	2^338686-81303	101955	Stefano Morozzi	03/2022
9032	2^338687+40461	101955	Stefano Morozzi	06/2022
9033	2^338687+65283	101955	Stefano Morozzi	06/2022
9039	2^338682-19865	101954	Enzo Doria	06/2013
9040	(2^(112895*3+1)+243)/7	101954	Kevin Acres	12/2013
9034	(8*10^101954-269)/9	101954	Robert Price	09/2021
9035	2^338683+50303	101954	Stefano Morozzi	11/2021
9036	2^338682-107205	101954	Stefano Morozzi	03/2022
9037	2^338682+13839	101954	Stefano Morozzi	05/2022
9038	2^338683-42837	101954	Stefano Morozzi	02/2023
9041	2^338678-180005	101953	Stefano Morozzi	02/2022
9042	2^338680+15855	101953	Stefano Morozzi	06/2022
9043	2^338678+93175	101953	Stefano Morozzi	09/2022
9044	2^338680+99217	101953	Stefano Morozzi	02/2023
9045	2^338674-175967	101952	Stefano Morozzi	12/2021
9046	2^338677-177373	101952	Stefano Morozzi	12/2021
9047	2^338677+102999	101952	Stefano Morozzi	01/2022
9048	2^338676+33381	101952	Stefano Morozzi	03/2022
9049	2^338677-82699	101952	Stefano Morozzi	03/2022
9050	2^338676-34299	101952	Stefano Morozzi	04/2022
9051	2^338675+188445	101952	Stefano Morozzi	05/2022
9052	2^338676+165271	101952	Stefano Morozzi	06/2022
9053	2^338674-187551	101952	Stefano Morozzi	12/2022
9054	2^338676-42243	101952	Stefano Morozzi	02/2023
9055	2^338671-55041	101951	Stefano Morozzi	02/2022
9056	2^338673-80203	101951	Stefano Morozzi	02/2022
9057	2^338672-182063	101951	Stefano Morozzi	03/2022
9058	2^338672+36667	101951	Stefano Morozzi	04/2022
9059	2^338668+2583	101950	Stefano Morozzi	12/2021
9060	2^338670-157001	101950	Stefano Morozzi	03/2022
9061	2^338669-8353	101950	Stefano Morozzi	04/2022
9062	2^338670+40635	101950	Stefano Morozzi	06/2022
9070	(2^338666+3154)/2	101949	Stefano Morozzi	09/2020
9063	2^338665+1577	101949	Stefano Morozzi	12/2021
9064	2^338665-51133	101949	Stefano Morozzi	12/2021
9065	2^338664+4345	101949	Stefano Morozzi	01/2022
9066	2^338666-128943	101949	Stefano Morozzi	01/2022
9067	2^338664+131535	101949	Stefano Morozzi	01/2022
9068	2^338667+14943	101949	Stefano Morozzi	05/2022
9069	2^338665+166637	101949	Stefano Morozzi	09/2022
9071	2^338662+31587	101948	Stefano Morozzi	02/2022
9072	2^338663-58375	101948	Stefano Morozzi	04/2022
9073	2^338663-107869	101948	Stefano Morozzi	04/2022
9074	2^338663+90435	101948	Stefano Morozzi	06/2022
9075	2^338661+70457	101948	Stefano Morozzi	11/2022
9076	2^338662+70519	101948	Stefano Morozzi	11/2022
9077	2^338663-39447	101948	Stefano Morozzi	01/2023
9078	2^338658-159191	101947	Stefano Morozzi	04/2022
9079	2^338659-159687	101947	Stefano Morozzi	04/2022
9080	2^338659+15543	101947	Stefano Morozzi	05/2022
9081	2^338658+44395	101947	Stefano Morozzi	09/2022
9082	2^338658+192537	101947	Stefano Morozzi	09/2022
9083	2^338659-90531	101947	Stefano Morozzi	01/2023
9084	2^338659-114759	101947	Stefano Morozzi	01/2023
9085	2^338659+124079	101947	Stefano Morozzi	02/2023
9086	2^338654+51027	101946	Stefano Morozzi	12/2021
9087	2^338656-152115	101946	Stefano Morozzi	12/2021
9088	2^338654+32415	101946	Stefano Morozzi	02/2022
9089	2^338654+39799	101946	Stefano Morozzi	05/2022
9090	2^338655+144579	101946	Stefano Morozzi	09/2022
9091	2^338657+97509	101946	Stefano Morozzi	11/2022
9092	2^338653+126629	101945	Stefano Morozzi	12/2021
9093	2^338653+33279	101945	Stefano Morozzi	02/2022
9094	2^338652-107097	101945	Stefano Morozzi	03/2022
9095	2^338653+94475	101945	Stefano Morozzi	09/2022
9096	2^338651+194073	101945	Stefano Morozzi	09/2022
9097	2^338652-89157	101945	Stefano Morozzi	01/2023
9098	2^338649-154663	101944	Stefano Morozzi	02/2022
9099	2^338650+61399	101944	Stefano Morozzi	04/2022
9100	2^338650-35655	101944	Stefano Morozzi	06/2022
9101	2^338650+169623	101944	Stefano Morozzi	09/2022
9102	2^338649-40743	101944	Stefano Morozzi	01/2023
9103	2^338645+150311	101943	Stefano Morozzi	11/2021
9104	2^338645+28481	101943	Stefano Morozzi	01/2022
9105	2^338647-77895	101943	Stefano Morozzi	01/2022
9106	2^338647-84607	101943	Stefano Morozzi	04/2022
9107	2^338647+164523	101943	Stefano Morozzi	05/2022
9108	2^338645+64845	101943	Stefano Morozzi	05/2022
9109	2^338644-35969	101943	Stefano Morozzi	12/2022
9110	2^338645-15715	101943	Stefano Morozzi	01/2023
9111	2^338641-152541	101942	Stefano Morozzi	12/2021
9112	2^338643-56487	101942	Stefano Morozzi	03/2022
9113	2^338642-186525	101942	Stefano Morozzi	12/2022
9114	2^338643-41715	101942	Stefano Morozzi	02/2023
9115	2^338638+100575	101941	Stefano Morozzi	12/2021
9116	2^338639-127461	101941	Stefano Morozzi	12/2021
9117	2^338640+187657	101941	Stefano Morozzi	04/2022
9118	2^338640+44431	101941	Stefano Morozzi	09/2022
9119	2^338635+1961	101940	Stefano Morozzi	12/2021
9120	2^338637+102125	101940	Stefano Morozzi	12/2021
9121	2^338636-135329	101940	Stefano Morozzi	06/2022
9122	2^338635+199485	101940	Stefano Morozzi	02/2023
9127	28594^3673+3673^28594	101939	Hans Havermann	02/2019
9123	2^338631+110741	101939	Stefano Morozzi	03/2022
9124	2^338631+112119	101939	Stefano Morozzi	04/2022
9125	2^338634-83097	101939	Stefano Morozzi	04/2022
9126	2^338633+139701	101939	Stefano Morozzi	05/2022
9128	2^338630-150341	101938	Stefano Morozzi	12/2021
9129	2^338630+12867	101938	Stefano Morozzi	04/2022
9130	2^338629+42147	101938	Stefano Morozzi	09/2022
9131	2^338628+121083	101938	Stefano Morozzi	11/2022
9132	2^338630+147235	101938	Stefano Morozzi	11/2022
9133	2^338628-37679	101938	Stefano Morozzi	12/2022
9134	2^338629-41383	101938	Stefano Morozzi	01/2023
9135	2^338628-91877	101938	Stefano Morozzi	02/2023
9136	2^338626-105875	101937	Stefano Morozzi	02/2022
9137	2^338625-111729	101937	Stefano Morozzi	12/2022
9138	2^338627+49299	101937	Stefano Morozzi	02/2023
9139	2^338621+33069	101936	Stefano Morozzi	02/2022
9140	2^338623-106405	101936	Stefano Morozzi	03/2022
9141	2^338621+61751	101936	Stefano Morozzi	04/2022
9142	2^338623-86577	101936	Stefano Morozzi	12/2022
9143	2^338620-150735	101935	Stefano Morozzi	12/2021
9144	2^338619-27765	101935	Stefano Morozzi	01/2022
9145	2^338619-77959	101935	Stefano Morozzi	01/2022
9146	2^338619-186367	101935	Stefano Morozzi	12/2022
9147	2^338618-64905	101935	Stefano Morozzi	01/2023
9148	2^338615+151655	101934	Stefano Morozzi	12/2021
9149	2^338616+5047	101934	Stefano Morozzi	01/2022
9150	2^338616+39705	101934	Stefano Morozzi	05/2022
9151	2^338617+149321	101934	Stefano Morozzi	02/2023
9152	2^338611+76659	101933	Stefano Morozzi	12/2021
9153	2^338613-109791	101933	Stefano Morozzi	04/2022
9154	2^338612+119583	101933	Stefano Morozzi	09/2022
9155	2^338611-140397	101933	Stefano Morozzi	01/2023
9156	2^338614-39653	101933	Stefano Morozzi	01/2023
9157	2^338609+130139	101932	Stefano Morozzi	01/2022
9158	2^338609+131327	101932	Stefano Morozzi	01/2022
9159	2^338608-155453	101932	Stefano Morozzi	02/2022
9160	2^338609+161721	101932	Stefano Morozzi	04/2022
9161	2^338609-10405	101932	Stefano Morozzi	06/2022
9162	2^338608+94017	101932	Stefano Morozzi	09/2022
9163	2^338610+170515	101932	Stefano Morozzi	11/2022
9164	2^338607+30611	101931	Stefano Morozzi	01/2022
9165	2^338607+106695	101931	Stefano Morozzi	02/2022
9166	2^338606-32291	101931	Stefano Morozzi	03/2022
9167	2^338606+15195	101931	Stefano Morozzi	05/2022
9168	2^338605+197789	101931	Stefano Morozzi	11/2022
9169	2^338607-90621	101931	Stefano Morozzi	01/2023
9170	2^338603-1195	101930	Stefano Morozzi	12/2021
9171	2^338601+108867	101930	Stefano Morozzi	03/2022
9172	2^338603+34311	101930	Stefano Morozzi	03/2022
9173	2^338598+57127	101929	Stefano Morozzi	02/2022
9174	2^338598+162645	101929	Stefano Morozzi	04/2022
9175	2^338599+43445	101929	Stefano Morozzi	09/2022
9176	2^338599+19485	101929	Stefano Morozzi	09/2022
9177	2^338598+46195	101929	Stefano Morozzi	11/2022
9178	2^338600-36393	101929	Stefano Morozzi	12/2022
9179	2^338596-1739	101928	Stefano Morozzi	12/2021
9180	2^338595-78687	101928	Stefano Morozzi	01/2022
9181	2^338595+181683	101928	Stefano Morozzi	02/2022
9182	2^338597-106045	101928	Stefano Morozzi	02/2022
9183	2^338595+119565	101928	Stefano Morozzi	09/2022
9184	2^338595+19623	101928	Stefano Morozzi	09/2022
9185	2^338595+21711	101928	Stefano Morozzi	11/2022
9186	2^338596-111129	101928	Stefano Morozzi	12/2022
9187	2^338591+53769	101927	Stefano Morozzi	01/2022
9188	2^338593+156989	101927	Stefano Morozzi	02/2022
9189	2^338592+36157	101927	Stefano Morozzi	03/2022
9190	2^338593+42099	101927	Stefano Morozzi	09/2022
9191	2^338591+46685	101927	Stefano Morozzi	11/2022
9192	2^338593+120437	101927	Stefano Morozzi	11/2022
9193	2^338591-165517	101927	Stefano Morozzi	01/2023
9194	2^338592-166107	101927	Stefano Morozzi	01/2023
9195	2^338592-189249	101927	Stefano Morozzi	01/2023
9196	2^338594-40493	101927	Stefano Morozzi	01/2023
9197	2^338590+182007	101926	Stefano Morozzi	02/2022
9198	2^338590+60747	101926	Stefano Morozzi	03/2022
9199	2^338588+62397	101926	Stefano Morozzi	04/2022
9200	2^338589-9685	101926	Stefano Morozzi	04/2022
9201	2^338588+73765	101926	Stefano Morozzi	02/2023
9202	2^338589-16915	101926	Stefano Morozzi	02/2023
9209	(2^338587+2306)/2	101925	Stefano Morozzi	02/2021
9203	2^338586+1153	101925	Stefano Morozzi	12/2021
9204	2^338587-51709	101925	Stefano Morozzi	12/2021
9205	2^338586+105303	101925	Stefano Morozzi	01/2022
9206	2^338585-131773	101925	Stefano Morozzi	03/2022
9207	2^338587+168039	101925	Stefano Morozzi	09/2022
9208	2^338585-140719	101925	Stefano Morozzi	01/2023
9210	2^338584+100771	101924	Stefano Morozzi	11/2021
9211	2^338581-150415	101924	Stefano Morozzi	12/2021
9212	2^338581-2349	101924	Stefano Morozzi	12/2021
9213	2^338582+42933	101924	Stefano Morozzi	09/2022
9214	2^338584+93267	101924	Stefano Morozzi	09/2022
9215	2^338582-86697	101924	Stefano Morozzi	12/2022
9216	2^338582-138035	101924	Stefano Morozzi	12/2022
9217	2^338584-115569	101924	Stefano Morozzi	01/2023
9218	2^338581-92793	101924	Stefano Morozzi	02/2023
9219	2^338578+67593	101923	Stefano Morozzi	09/2022
9220	2^338580+142201	101923	Stefano Morozzi	09/2022
9221	2^338579-14635	101923	Stefano Morozzi	01/2023
9222	2^338579-164985	101923	Stefano Morozzi	01/2023
9223	2^338575-28815	101922	Stefano Morozzi	01/2022
9224	2^338575-33645	101922	Stefano Morozzi	04/2022
9225	2^338577-92239	101922	Stefano Morozzi	02/2023
9226	2^338573-156693	101921	Stefano Morozzi	03/2022
9227	2^338572+193305	101921	Stefano Morozzi	09/2022
9228	2^338573+173751	101921	Stefano Morozzi	02/2023
9229	2^338574+73707	101921	Stefano Morozzi	02/2023
9234	2^338568+37	101920	Lelio R Paula	07/2011
9230	2^338570-53933	101920	Stefano Morozzi	02/2022
9231	2^338569+87201	101920	Stefano Morozzi	04/2022
9232	2^338570-36897	101920	Stefano Morozzi	12/2022
9233	2^338570-61157	101920	Stefano Morozzi	12/2022
9235	2^338567-9619	101919	Stefano Morozzi	04/2022
9236	2^338565-141589	101919	Stefano Morozzi	01/2023
9237	2^338565+148821	101919	Stefano Morozzi	02/2023
9238	2^338564-56763	101918	Stefano Morozzi	03/2022
9239	2^338561+112007	101918	Stefano Morozzi	04/2022
9240	2^338561-9315	101918	Stefano Morozzi	04/2022
9241	2^338564+41965	101918	Stefano Morozzi	09/2022
9242	2^338561+121139	101918	Stefano Morozzi	11/2022
9243	2^338562+21799	101918	Stefano Morozzi	11/2022
9244	2^338558+4825	101917	Stefano Morozzi	01/2022
9245	2^338559-127935	101917	Stefano Morozzi	01/2022
9246	2^338560+154891	101917	Stefano Morozzi	01/2022
9247	2^338559+131885	101917	Stefano Morozzi	02/2022
9248	2^338558+93735	101917	Stefano Morozzi	09/2022
9249	2^338559-90957	101917	Stefano Morozzi	01/2023
9250	2^338559-190761	101917	Stefano Morozzi	01/2023

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