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 ?
9501	2^338469-112783	101890	Stefano Morozzi	12/2022
9502	2^338470-115665	101890	Stefano Morozzi	01/2023
9503	2^338467-25665	101889	Stefano Morozzi	12/2021
9504	2^338465+152139	101889	Stefano Morozzi	12/2021
9505	2^338466-28643	101889	Stefano Morozzi	01/2022
9506	2^338465+181517	101889	Stefano Morozzi	01/2022
9507	2^338466+115917	101889	Stefano Morozzi	06/2022
9508	2^338465-88291	101889	Stefano Morozzi	12/2022
9509	2^338464-104009	101888	Stefano Morozzi	02/2022
9510	2^338463+185169	101888	Stefano Morozzi	03/2022
9511	2^338464+60595	101888	Stefano Morozzi	03/2022
9512	2^338464-66377	101888	Stefano Morozzi	01/2023
9513	2^338458+60273	101887	Stefano Morozzi	03/2022
9514	2^338461+135867	101887	Stefano Morozzi	03/2022
9515	2^338455-4621	101886	Stefano Morozzi	02/2022
9516	2^338457+187827	101886	Stefano Morozzi	04/2022
9517	2^338455+173349	101886	Stefano Morozzi	11/2022
9518	2^338454+133737	101885	Stefano Morozzi	03/2022
9519	2^338454-158501	101885	Stefano Morozzi	04/2022
9520	2^338454-184217	101885	Stefano Morozzi	04/2022
9521	2^338453+164451	101885	Stefano Morozzi	05/2022
9522	2^338452-136137	101885	Stefano Morozzi	12/2022
9523	2^338450+106275	101884	Stefano Morozzi	01/2022
9524	2^338450+168439	101884	Stefano Morozzi	09/2022
9525	(133*10^101881+17)/3	101883	Robert Price	11/2021
9526	2^338445-80461	101883	Stefano Morozzi	02/2022
9527	2^338446-131211	101883	Stefano Morozzi	02/2022
9528	2^338448+187167	101883	Stefano Morozzi	04/2022
9529	2^338446-160115	101883	Stefano Morozzi	06/2022
9530	2^338447-164157	101883	Stefano Morozzi	01/2023
9531	2^338447-191001	101883	Stefano Morozzi	01/2023
9532	2^338444+127623	101882	Stefano Morozzi	12/2021
9533	2^338443-113827	101882	Stefano Morozzi	12/2022
9534	2^338441-5893	101881	Stefano Morozzi	02/2022
9535	2^338439-162565	101881	Stefano Morozzi	12/2022
9536	2^338436+153657	101880	Stefano Morozzi	01/2022
9537	2^338437-153159	101880	Stefano Morozzi	01/2022
9538	2^338436-83783	101880	Stefano Morozzi	04/2022
9539	2^338435+89109	101880	Stefano Morozzi	05/2022
9540	2^338435+13871	101880	Stefano Morozzi	05/2022
9541	2^338436+149691	101880	Stefano Morozzi	02/2023
9542	2^338434+81537	101879	Stefano Morozzi	01/2022
9543	2^338432+33495	101879	Stefano Morozzi	03/2022
9544	2^338432-7043	101879	Stefano Morozzi	03/2022
9545	2^338433-32629	101879	Stefano Morozzi	03/2022
9546	2^338430-9903	101878	Stefano Morozzi	04/2022
9554	2^338426-19797	101877	Enzo Doria	06/2013
9547	2^338427-77797	101877	Stefano Morozzi	01/2022
9548	2^338427-178687	101877	Stefano Morozzi	01/2022
9549	2^338428-54873	101877	Stefano Morozzi	02/2022
9550	2^338425+41357	101877	Stefano Morozzi	06/2022
9551	2^338428+90855	101877	Stefano Morozzi	06/2022
9552	2^338428-39807	101877	Stefano Morozzi	01/2023
9553	2^338425-192381	101877	Stefano Morozzi	02/2023
9555	2^338422-188787	101876	Stefano Morozzi	12/2022
9556	2^338423-187755	101876	Stefano Morozzi	12/2022
9557	2^338422-115865	101876	Stefano Morozzi	01/2023
9558	2^338420-178829	101875	Stefano Morozzi	01/2022
9559	2^338421-105423	101875	Stefano Morozzi	02/2022
9560	2^338419-82761	101875	Stefano Morozzi	03/2022
9561	2^338420+193143	101875	Stefano Morozzi	09/2022
9562	2^338419+199641	101875	Stefano Morozzi	02/2023
9563	2^338420-143103	101875	Stefano Morozzi	02/2023
9564	2^338418-50903	101874	Stefano Morozzi	12/2021
9565	2^338418+158355	101874	Stefano Morozzi	02/2022
9566	2^338418+159339	101874	Stefano Morozzi	03/2022
9567	2^338416+14953	101874	Stefano Morozzi	05/2022
9568	2^338416+166051	101874	Stefano Morozzi	06/2022
9569	2^338418-138765	101874	Stefano Morozzi	12/2022
9570	2^338417+49737	101874	Stefano Morozzi	02/2023
9571	2^338413-125919	101873	Stefano Morozzi	12/2021
9572	2^338414+26083	101873	Stefano Morozzi	12/2021
9573	2^338412-152379	101873	Stefano Morozzi	12/2021
9574	2^338413+54797	101873	Stefano Morozzi	01/2022
9575	2^338412+157951	101873	Stefano Morozzi	02/2022
9576	2^338414+81627	101873	Stefano Morozzi	02/2022
9577	2^338413+133679	101873	Stefano Morozzi	03/2022
9578	2^338413+197735	101873	Stefano Morozzi	11/2022
9579	2^338413-114301	101873	Stefano Morozzi	01/2023
9580	11*32^67682+395	101873	Eric Chen	04/2023
9581	2^338409-52183	101872	Stefano Morozzi	12/2021
9582	2^338411-3789	101872	Stefano Morozzi	01/2022
9583	2^338409+173237	101872	Stefano Morozzi	11/2022
9584	2^338406-184175	101871	Stefano Morozzi	04/2022
9585	2^338405+94451	101871	Stefano Morozzi	09/2022
9586	2^338406-161217	101871	Stefano Morozzi	12/2022
9587	2^338406+199929	101871	Stefano Morozzi	02/2023
9588	2^338404+55717	101870	Stefano Morozzi	01/2022
9589	2^338403+36261	101870	Stefano Morozzi	04/2022
9590	2^338402-34431	101870	Stefano Morozzi	04/2022
9591	2^338404-159215	101870	Stefano Morozzi	04/2022
9592	2^338403+18363	101870	Stefano Morozzi	09/2022
9593	2^338403+170235	101870	Stefano Morozzi	11/2022
9594	2^338399+23045	101869	Stefano Morozzi	11/2022
9595	2^338399-65535	101869	Stefano Morozzi	01/2023
9596	2^338395-127449	101868	Stefano Morozzi	12/2021
9597	2^338398-127637	101868	Stefano Morozzi	01/2022
9598	2^338398-166533	101868	Stefano Morozzi	01/2023
9599	2^338394+100317	101867	Stefano Morozzi	11/2021
9600	2^338393-152749	101867	Stefano Morozzi	01/2022
9601	2^338393+163025	101867	Stefano Morozzi	04/2022
9602	2^338393+89229	101867	Stefano Morozzi	05/2022
9603	2^338393+99647	101867	Stefano Morozzi	02/2023
9604	2^338394-192471	101867	Stefano Morozzi	02/2023
9605	2^338390+76627	101866	Stefano Morozzi	12/2021
9606	2^338389-85081	101866	Stefano Morozzi	06/2022
9607	2^338390+148113	101866	Stefano Morozzi	11/2022
9608	2^338389-14253	101866	Stefano Morozzi	01/2023
9609	2^338390-114297	101866	Stefano Morozzi	01/2023
9610	2^338391-64225	101866	Stefano Morozzi	01/2023
9611	2^338389-16971	101866	Stefano Morozzi	02/2023
9612	2^338387-75685	101865	Stefano Morozzi	12/2021
9613	2^338388-53459	101865	Stefano Morozzi	01/2022
9614	2^338388-36575	101865	Stefano Morozzi	12/2022
9615	2^338385-190311	101865	Stefano Morozzi	01/2023
9616	2^338384+131563	101864	Stefano Morozzi	01/2022
9617	2^338382+109069	101864	Stefano Morozzi	03/2022
9618	2^338384+168987	101864	Stefano Morozzi	09/2022
9619	2^338383-42367	101864	Stefano Morozzi	02/2023
9620	2^338380+77125	101863	Stefano Morozzi	12/2021
9621	2^338381-35539	101863	Stefano Morozzi	06/2022
9622	2^338378-125841	101862	Stefano Morozzi	12/2021
9623	2^338375+27815	101862	Stefano Morozzi	01/2022
9624	2^338375-28509	101862	Stefano Morozzi	01/2022
9625	2^338375+29985	101862	Stefano Morozzi	01/2022
9626	2^338377+157881	101862	Stefano Morozzi	02/2022
9627	2^338375+59589	101862	Stefano Morozzi	03/2022
9628	2^338378+36399	101862	Stefano Morozzi	04/2022
9629	2^338378-159773	101862	Stefano Morozzi	04/2022
9630	2^338378+14883	101862	Stefano Morozzi	05/2022
9631	2^338376+140173	101862	Stefano Morozzi	06/2022
9632	2^338375+18761	101862	Stefano Morozzi	09/2022
9633	2^338373-75103	101861	Stefano Morozzi	12/2021
9634	2^338372+128877	101861	Stefano Morozzi	01/2022
9635	2^338374-28731	101861	Stefano Morozzi	01/2022
9636	2^338374-128427	101861	Stefano Morozzi	01/2022
9637	2^338372+37875	101861	Stefano Morozzi	04/2022
9638	2^338373+161541	101861	Stefano Morozzi	04/2022
9639	2^338374+37759	101861	Stefano Morozzi	04/2022
9640	2^338372+93235	101861	Stefano Morozzi	09/2022
9641	2^338373-63273	101861	Stefano Morozzi	12/2022
9642	2^338369+29427	101860	Stefano Morozzi	01/2022
9643	2^338370+179133	101860	Stefano Morozzi	01/2022
9644	2^338369+131501	101860	Stefano Morozzi	01/2022
9645	2^338369+181649	101860	Stefano Morozzi	02/2022
9646	2^338370-4787	101860	Stefano Morozzi	02/2022
9647	2^338371-133491	101860	Stefano Morozzi	04/2022
9648	2^338371+42023	101860	Stefano Morozzi	09/2022
9649	2^338371+145323	101860	Stefano Morozzi	11/2022
9650	2^338371-138145	101860	Stefano Morozzi	12/2022
9657	2^338368-20369	101859	Enzo Doria	06/2013
9658	2^338366+74179	101859	Enzo Doria	04/2016
9651	2^338366+53853	101859	Stefano Morozzi	01/2022
9652	2^338365-31665	101859	Stefano Morozzi	03/2022
9653	2^338368-156345	101859	Stefano Morozzi	03/2022
9654	2^338366-159867	101859	Stefano Morozzi	04/2022
9655	2^338368-63509	101859	Stefano Morozzi	12/2022
9656	2^338365-190975	101859	Stefano Morozzi	01/2023
9659	2^338362-180845	101858	Stefano Morozzi	02/2022
9660	2^338364-155769	101858	Stefano Morozzi	02/2022
9661	2^338362+142843	101858	Stefano Morozzi	09/2022
9662	2^338362+170019	101858	Stefano Morozzi	11/2022
9663	2^338361-100875	101857	Stefano Morozzi	12/2021
9664	2^338361+154169	101857	Stefano Morozzi	01/2022
9665	2^338359-189645	101857	Stefano Morozzi	01/2023
9666	2^338356+101271	101856	Stefano Morozzi	12/2021
9667	2^338356+53383	101856	Stefano Morozzi	01/2022
9668	2^338355+59393	101856	Stefano Morozzi	03/2022
9669	2^338356+60775	101856	Stefano Morozzi	03/2022
9670	2^338356-106257	101856	Stefano Morozzi	03/2022
9671	2^338357-58921	101856	Stefano Morozzi	04/2022
9672	2^338356+94605	101856	Stefano Morozzi	09/2022
9673	2^338356+117813	101856	Stefano Morozzi	09/2022
9674	2^338358-38475	101856	Stefano Morozzi	12/2022
9675	2^338353-190291	101855	Stefano Morozzi	01/2023
9676	2^338350-152933	101854	Stefano Morozzi	01/2022
9677	2^338350+6337	101854	Stefano Morozzi	01/2022
9678	2^338350+168759	101854	Stefano Morozzi	09/2022
9681	27088^5755+5755^27088	101853	Hans Havermann	01/2019
9679	2^338347+125901	101853	Stefano Morozzi	11/2021
9680	2^338346-10643	101853	Stefano Morozzi	06/2022
9682	2^338343+152271	101852	Stefano Morozzi	12/2021
9683	2^338345+154107	101852	Stefano Morozzi	01/2022
9684	2^338342+155397	101852	Stefano Morozzi	01/2022
9685	2^338342-130767	101852	Stefano Morozzi	02/2022
9686	2^338345-30123	101852	Stefano Morozzi	02/2022
9687	2^338345+35747	101852	Stefano Morozzi	03/2022
9688	2^338345-133131	101852	Stefano Morozzi	04/2022
9689	2^338345-134559	101852	Stefano Morozzi	04/2022
9690	2^338342+170073	101852	Stefano Morozzi	11/2022
9691	2^338344+46567	101852	Stefano Morozzi	11/2022
9692	2^338344+97141	101852	Stefano Morozzi	11/2022
9693	2^338342-162213	101852	Stefano Morozzi	12/2022
9694	2^338339+2753	101851	Stefano Morozzi	12/2021
9695	2^338341+128415	101851	Stefano Morozzi	01/2022
9696	2^338338+2677	101850	Stefano Morozzi	12/2021
9697	2^338336+54607	101850	Stefano Morozzi	01/2022
9698	2^338338+109999	101850	Stefano Morozzi	03/2022
9699	2^338336+161575	101850	Stefano Morozzi	04/2022
9700	2^338335+51975	101849	Stefano Morozzi	12/2021
9701	2^338335-152607	101849	Stefano Morozzi	01/2022
9702	2^338334+55273	101849	Stefano Morozzi	01/2022
9703	2^338332+34315	101849	Stefano Morozzi	03/2022
9704	2^338335+158759	101849	Stefano Morozzi	03/2022
9705	2^338332+67621	101849	Stefano Morozzi	09/2022
9706	2^338332-66099	101849	Stefano Morozzi	01/2023
9707	2^338334-191043	101849	Stefano Morozzi	01/2023
9708	2^338331+83403	101848	Stefano Morozzi	02/2022
9709	2^338330-110865	101848	Stefano Morozzi	06/2022
9710	2^338330+71047	101848	Stefano Morozzi	11/2022
9711	2^338328-5295	101847	Stefano Morozzi	02/2022
9712	2^338327+143585	101847	Stefano Morozzi	09/2022
9713	2^338324-179667	101846	Stefano Morozzi	02/2022
9714	2^338322+21903	101846	Stefano Morozzi	11/2022
9715	2^338324+98047	101846	Stefano Morozzi	11/2022
9716	2^338323-87729	101846	Stefano Morozzi	12/2022
9717	2^338322-16667	101846	Stefano Morozzi	01/2023
9718	2^338325-142159	101846	Stefano Morozzi	02/2023
9719	2^338316-175857	101844	Stefano Morozzi	12/2021
9720	2^338318+54405	101844	Stefano Morozzi	01/2022
9721	2^338316+32961	101844	Stefano Morozzi	02/2022
9722	2^338317+68175	101844	Stefano Morozzi	09/2022
9723	2^338318-86171	101844	Stefano Morozzi	12/2022
9724	2^338315-178635	101843	Stefano Morozzi	01/2022
9725	2^338315+34899	101843	Stefano Morozzi	03/2022
9726	2^338314-106973	101843	Stefano Morozzi	03/2022
9727	2^338313+170411	101843	Stefano Morozzi	11/2022
9728	2^338315-88807	101843	Stefano Morozzi	12/2022
9729	2^338311-51799	101842	Stefano Morozzi	12/2021
9730	2^338309+157259	101842	Stefano Morozzi	02/2022
9731	2^338310+40903	101842	Stefano Morozzi	06/2022
9732	2^338309-168051	101842	Stefano Morozzi	02/2023
9733	2^338308-55853	101841	Stefano Morozzi	02/2022
9734	2^338307+134871	101841	Stefano Morozzi	03/2022
9735	2^338307+19689	101841	Stefano Morozzi	09/2022
9736	2^338308+66873	101841	Stefano Morozzi	09/2022
9737	2^338306+124399	101841	Stefano Morozzi	02/2023
9738	2^338306-91913	101841	Stefano Morozzi	02/2023
9739	2^338304+78757	101840	Stefano Morozzi	01/2022
9740	2^338304-5807	101840	Stefano Morozzi	02/2022
9741	2^338305+110879	101840	Stefano Morozzi	03/2022
9742	2^338304+91147	101840	Stefano Morozzi	06/2022
9743	2^338304-64475	101840	Stefano Morozzi	01/2023
9744	2^338299+85611	101839	Stefano Morozzi	03/2022
9745	2^338299-189985	101839	Stefano Morozzi	01/2023
9746	2^338298-25571	101838	Stefano Morozzi	12/2021
9747	2^338297+35547	101838	Stefano Morozzi	03/2022
9748	2^338298+111199	101838	Stefano Morozzi	03/2022
9749	2^338297+145455	101838	Stefano Morozzi	11/2022
9750	2^338297-166285	101838	Stefano Morozzi	01/2023

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