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 ?
1501	2^526658-3551	158540	Yves Minet	03/2017
1502	7*10^158465-11	158466	Robert Price	06/2019
1503	2^526375-23115	158455	Enzo Doria	08/2013
1504	(77*10^158407-293)/9	158408	Robert Price	09/2019
1505	2^526028-112793	158351	Enzo Doria	07/2014
1506	2^525690-9221	158249	Lelio R Paula	01/2013
1507	2*10^158242-7	158243	Robert Price	10/2015
1508	2^525667-525667^2	158242	Henri Lifchitz	12/2017
1509	2^525186-1857431	158097	Enzo Doria	10/2015
1510	2^524515-23245	157895	Enzo Doria	08/2013
1511	2^524499-109087	157890	Enzo Doria	04/2014
1512	2^18067*(2^506221+1)-1	157827	Makoto Morimoto	05/2014
1513	2^524288+189093	157827	Makoto Morimoto	01/2016
1514	2^524288-164073	157827	Matthias Baur	03/2020
1515	(2^(2^19)-9333)/(1923463121331973)	157814	Makoto Morimoto	09/2017
1516	(10^157792+359)/9	157792	Serge Batalov	12/2014
1517	2^523924+1876591	157717	Enzo Doria	07/2016
1518	(17*10^157705+67)/3	157706	Robert Price	01/2019
1519	(46^94841+1)/47	157696	Robert Price	01/2014
1520	2^523774+77839	157672	Enzo Doria	05/2016
1521	2^523587+2799143	157616	Enzo Doria	04/2016
1522	2^523371+1872113	157551	Enzo Doria	05/2016
1523	(82*10^157319+449)/9	157320	Robert Price	11/2019
1524	2^522535-351457	157299	Enzo Doria	07/2015
1525	2^522226+2799079	157206	Enzo Doria	04/2016
1526	2^522134-1849451	157178	Enzo Doria	08/2015
1527	4*10^157150+93	157151	Robert Price	08/2018
1528	2^521401-29593	156958	Enzo Doria	08/2015
1529	7*10^156956+87	156957	Robert Price	07/2019
1530	2^521348-23397	156942	Enzo Doria	08/2013
1531	(98^78797+1)/99	156901	Paul Bourdelais	12/2017
1532	65^86522+64	156857	Lelio R Paula	04/2016
1533	8^173687-7^173687	156855	Jean-Louis Charton	09/2004
1534	2^520977-1858183	156830	Enzo Doria	10/2015
1535	(8*10^156718-101)/3	156719	Robert Price	08/2018
1536	2^520314-1849481	156631	Enzo Doria	08/2015
1537	(13*10^156522+89)/3	156523	Robert Price	09/2018
1538	(2^(6*86654+1)-5)/3	156513	Kevin Acres	12/2013
1539	3*10^156435-97	156436	Robert Price	07/2018
1540	(8*10^156371-77)/3	156372	Robert Price	07/2018
1541	53^90679-52^90679	156356	Robert Price	01/2013
1542	2^519106-59141	156267	Enzo Doria	10/2015
1543	2^519053+6077	156251	Enzo Doria	02/2016
1544	2^518968-1860989	156225	Enzo Doria	11/2015
1545	(25*10^156221-7)/9	156222	Robert Price	05/2018
1546	2^518931-2782297	156214	Enzo Doria	09/2015
1547	2^518608-2939	156117	Yves Minet	09/2014
1548	10*27^109005+697	156027	Curtis Bright	05/2015
1549	2^517967-113485	155924	Enzo Doria	08/2014
1550	2^517698+4429	155843	Lelio R Paula	01/2013
1551	2^517543-113257	155796	Enzo Doria	07/2014
1552	(14*10^155740-143)/3	155741	Robert Price	11/2018
1553	31^104309-30^104309	155563	Henri Lifchitz	08/2013
1554	2^516742-39851	155555	Enzo Doria	09/2015
1555	7*10^155496+61	155497	Robert Price	08/2019
1556	2^516440+1878421	155464	Enzo Doria	08/2016
1557	2^515863-1867237	155291	Enzo Doria	03/2016
1558	2^515786-461861	155268	Enzo Doria	07/2015
1559	2^515644-113247	155225	Enzo Doria	07/2014
1560	(7*10^155203+107)/3	155204	Robert Price	02/2018
1561	(17*10^155133-89)/9	155134	Robert Price	07/2018
1562	2^515227-114997	155099	Enzo Doria	06/2015
1564	EPrime(155025)	155025	Eric W. Weisstein	10/2010
1563	(14*10^155024-221)/9	155025	Robert Price	04/2018
1565	(4*10^155022+173)/3	155023	Robert Price	02/2018
1566	(115*10^154869-1)/3	154871	Serge Batalov	12/2014
1567	(86*10^154853-221)/9	154854	Robert Price	09/2019
1568	2^514361+78167	154839	Enzo Doria	05/2016
1569	2^514281-115033	154815	Enzo Doria	06/2015
1570	2^514194-3311	154788	Yves Minet	12/2014
1571	(14*10^154773+37)/3	154774	Robert Price	12/2018
1572	2^513437+1879337	154560	Enzo Doria	09/2016
1573	2^513306-113201	154521	Enzo Doria	07/2014
1574	(10^154494-13)/3	154494	Robert Price	12/2017
1575	2^513042-113787	154442	Enzo Doria	09/2014
1576	(151*10^154434-7)/9	154436	Robert Price	01/2020
1577	2^512628-114053	154317	Enzo Doria	11/2014
1578	2^512529-49783	154287	Enzo Doria	10/2015
1579	(355573#+6991)/(6991*2031599)	154285	Makoto Morimoto	06/2019
1580	2^512315-115297	154223	Enzo Doria	06/2015
1581	2^512168+79561	154178	Enzo Doria	06/2016
1582	4*10^154078-57	154079	Robert Price	10/2018
1583	(355049#+1859)/(111310148891*62587751)	154051	Makoto Morimoto	06/2019
1584	2^511658-114371	154025	Enzo Doria	02/2015
1585	(57^87719+1)/58	154022	Paul Bourdelais	11/2017
1586	2^511580-1846679	154001	Enzo Doria	07/2015
1587	2^511541-113713	153990	Enzo Doria	09/2014
1588	2^511077-112723	153850	Enzo Doria	06/2014
1589	69^83653-68^83653	153826	Robert Price	12/2013
1590	2^510963-113707	153816	Enzo Doria	09/2014
1591	(154*10^153810-1)/9	153812	Serge Batalov	12/2014
1592	(181*25^109991-75077)/8	153763	Curtis Bright	05/2015
1593	2*10^153746-3	153747	Robert Price	07/2015
1594	2^510626+1179379	153714	Enzo Doria	05/2016
1595	(7*10^153664+113)/3	153665	Robert Price	02/2018
1596	2^510420+81121	153652	Enzo Doria	07/2016
1597	(197*7^181761-1)/2	153608	Karsten Bonath	05/2017
1598	2^509894-459161	153494	Enzo Doria	05/2015
1599	2^509841+71657	153478	Enzo Doria	04/2016
1600	2^509533-1846723	153385	Enzo Doria	07/2015
1601	2^509468-39989	153366	Enzo Doria	09/2015
1602	70^83117-69^83117	153360	Robert Price	01/2014
1603	(112*10^153025-1)/3	153027	Serge Batalov	12/2014
1604	2^508174-1855151	152976	Enzo Doria	09/2015
1605	181^67757-2	152974	Lelio R Paula	12/2017
1606	2^508160-1864829	152972	Enzo Doria	01/2016
1607	2^507857-1848199	152881	Enzo Doria	07/2015
1608	2^507638-115361	152815	Enzo Doria	07/2015
1609	2^507551-114025	152789	Enzo Doria	11/2014
1610	(6^196337+1)/7	152780	Paul Bourdelais	02/2010
1611	(22*10^152670-13)/9	152671	Robert Price	06/2018
1612	2^506451-22339	152457	Enzo Doria	07/2013
1613	2^505995-113185	152320	Enzo Doria	07/2014
1614	(4*10^152253+149)/9	152253	Robert Price	04/2018
1615	578^55117-577^55117	152230	Jean-Louis Charton	08/2012
1616	2^505431-505431	152150	Henri Lifchitz	04/2005
1617	(203*10^152143+1)/3	152145	Robert Price	03/2020
1618	2^505053+73097	152037	Enzo Doria	04/2016
1619	22*10^151998+3	152000	Robert Price	01/2020
1620	(2^504793-7)/46765	151954	Lelio R Paula	12/2017
1621	350377#+797581	151937	Nicolas PALAU	08/2017
1622	2^504618-343991	151906	Enzo Doria	07/2015
1623	2^504212-461939	151783	Enzo Doria	07/2015
1624	2^504054-2231	151736	Yves Minet	10/2011
1625	(28*10^151682+191)/3	151683	Robert Price	02/2020
1626	2^503361-39883	151527	Enzo Doria	09/2015
1627	2^503225+382667	151486	Enzo Doria	10/2016
1628	(26*10^151391-503)/9	151392	Robert Price	07/2018
1629	2^502769+1877567	151349	Enzo Doria	08/2016
1630	2^502576-4019	151291	Yves Minet	10/2011
1631	5*10^151257+41	151258	Robert Price	03/2019
1632	2^502290-2792501	151205	Enzo Doria	02/2016
1633	2^502181+1868417	151172	Enzo Doria	04/2016
1634	2^501781-1850503	151052	Enzo Doria	08/2015
1635	(5*10^151007+37)/3	151008	Robert Price	03/2018
1636	2^501627-991	151005	Yves Minet	02/2014
1637	2^501577-115333	150990	Enzo Doria	07/2015
1638	8*10^150975+3	150976	Robert Price	08/2015
1639	2^501512-113669	150971	Enzo Doria	09/2014
1640	(12^139739+1)/13	150803	Paul Bourdelais	09/2011
1641	(31^101111-1)/30	150792	Alexander Zhirkov	11/2010
1642	2^500899-500899	150786	Henri Lifchitz	04/2005
1643	2^500832+1876801	150766	Enzo Doria	07/2016
1644	(23*10^150763-59)/9	150764	Robert Price	05/2018
1645	2^500699+1884953	150726	Enzo Doria	02/2017
1646	(13*10^150675-37)/3	150676	Robert Price	01/2019
1647	(2^500527+lucasV(1,2,500527)+1)/4	150674	Mike Oakes	11/2016
1649	2^500337-71101	150617	Enzo Doria	04/2016
1648	(74*10^150616+133)/9	150617	Robert Price	06/2019
1650	4*10^150577+91	150578	Robert Price	08/2018
1651	2^500160+80071	150564	Enzo Doria	06/2016
1652	(2^500120+5)/9	150551	Lelio R Paula	12/2017
1653	(43*10^150515-421)/9	150516	Robert Price	01/2019
1655	(10^150551-1)/9/385207015049/57498437921/7808738631274081	150512	Maksym Voznyy	08/2014
1654	(10^150551-1)/1556587827131683185788921941743157225041	150512	Robert Price	07/2016
1656	2^499861-29503	150474	Enzo Doria	08/2015
1657	2^499653-113533	150411	Enzo Doria	08/2014
1658	2^499534-221	150375	Yves Minet	06/2012
1659	2^499225+49727	150282	Enzo Doria	09/2016
1660	2^499054-29261	150231	Enzo Doria	07/2015
1661	(2^498898-7)/9	150183	Lelio R Paula	10/2015
1662	3*10^150182+17	150183	Robert Price	07/2018
1663	2^498623+1866983	150101	Enzo Doria	03/2016
1664	numbpart(18140942830)	150033	Serge Batalov	04/2017
1665	10^150029+4381	150030	Patrick De Geest	05/2016
1666	10^150029-41	150029	Serge Batalov	12/2014
1667	10^150000+1158603	150001	Patrick De Geest	09/2018
1668	10^150000-245703	150000	Patrick De Geest	09/2018
1669	(38*10^149999+691)/9	150000	Robert Price	10/2018
1670	2^498238-53	149985	Lelio R Paula	12/2017
1671	5*10^149907+23	149908	Robert Price	03/2019
1672	2^497850+81049	149868	Enzo Doria	07/2016
1673	(5*2^497673+1)/2743	149812	Lelio R Paula	10/2015
1674	(5*2^497671+1)/373703	149810	Lelio R Paula	10/2015
1675	(2*10^149803-143)/3	149803	Robert Price	03/2018
1676	2^497434-2784191	149743	Enzo Doria	10/2015
1677	(23*10^149655+19)/3	149656	Robert Price	07/2019
1678	2^497068-113579	149633	Enzo Doria	08/2014
1679	2^497037+73727	149624	Enzo Doria	04/2016
1680	2^496773+77747	149544	Enzo Doria	05/2016
1681	2^496477-113485	149455	Enzo Doria	08/2014
1682	((10^74703-1)10000/9+7481)10^74703+(10^74703-1)/9	149410	Hans Havermann	09/2019
1683	2^496270-49451	149393	Enzo Doria	10/2015
1684	2^496238-1865081	149383	Enzo Doria	01/2016
1685	2^495968-1853699	149302	Enzo Doria	09/2015
1686	2^495935-4117	149292	Yves Minet	02/2018
1687	2^495712-396765	149225	Enzo Doria	07/2013
1688	(21*2^495676-1)/4835	149211	Lelio R Paula	10/2015
1689	2^495420+1880701	149137	Enzo Doria	10/2016
1690	2^495337-1847293	149112	Enzo Doria	07/2015
1691	(2^495193-7)/5	149068	Lelio R Paula	10/2015
1692	413^56963-412^56963	149013	Jean-Louis Charton	08/2012
1693	47^89113-46^89113	149006	Robert Price	10/2012
1694	2^494916+87855	148985	Lelio R Paula	01/2016
1695	6*10^148982+73	148983	Robert Price	04/2019
1696	2^494586-2791991	148886	Enzo Doria	02/2016
1697	8*10^148860-3	148861	Ray Chandler	04/2011
1698	2^494333-286183	148810	Enzo Doria	06/2015
1699	2^494144-264119	148753	Enzo Doria	05/2014
1700	(5*2^493838-1)/3721	148658	Lelio R Paula	10/2015
1701	(23*2^493761-1)/555	148636	Lelio R Paula	10/2015
1702	(151*10^148601-1)/3	148603	Robert Price	03/2020
1703	2^493636+82081	148600	Enzo Doria	09/2016
1704	((((((((((((((34251^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2)^2-2	148593	Serge Batalov	07/2016
1705	177487#+(519643#)/(177487#)	148558	Makoto Morimoto	11/2017
1706	(2*10^148460-23)/3	148460	Robert Price	04/2018
1707	(8*10^148328+1)/9	148328	Serge Batalov	05/2010
1708	(71*10^148306-539)/9	148307	Robert Price	07/2019
1709	5^211959-12874	148153	Enzo Doria	05/2014
1710	(16*10^148071+41)/3	148072	Robert Price	03/2019
1711	187^65175-2	148068	Lelio R Paula	11/2017
1712	2^491851+1871453	148062	Enzo Doria	05/2016
1713	(68*10^148060-257)/9	148061	Robert Price	07/2019
1714	(151*10^148020-1)/3	148022	Robert Price	03/2020
1715	(26*10^147973-23)/3	147974	Robert Price	12/2019
1716	2^491521-1865323	147963	Enzo Doria	02/2016
1717	(2^491476+7)/71	147948	Lelio R Paula	10/2015
1718	2^491391-7807	147924	Lelio R Paula	01/2013
1719	2^491370-113297	147918	Enzo Doria	07/2014
1720	(32760^32760+32759^32759)/95546586737133567708319	147900	Robert Price	07/2016
1721	(17*10^147890+79)/3	147891	Robert Price	04/2019
1722	2^490660-17	147704	Lelio R Paula	12/2017
1723	2^490550+1179439	147671	Enzo Doria	06/2016
1724	(23*10^147649-59)/9	147650	Robert Price	05/2018
1725	2^490303+2793653	147596	Enzo Doria	03/2016
1726	199^64181-2	147543	Lelio R Paula	11/2017
1727	2^489871-286987	147466	Enzo Doria	07/2015
1728	2^489864-351899	147464	Enzo Doria	07/2015
1729	175^65724-2	147422	Lelio R Paula	11/2017
1730	2^489712+1874851	147419	Enzo Doria	06/2016
1731	63^81896-2	147359	Lelio R Paula	10/2017
1732	(11*10^147313-107)/3	147314	Robert Price	09/2018
1733	2^489305-59815	147296	Enzo Doria	10/2015
1734	(2^489280-7)/6381	147285	Lelio R Paula	09/2015
1735	2^489125+80357	147242	Enzo Doria	06/2016
1736	(148*10^147139-1)/3	147141	Robert Price	03/2020
1737	2^488648-112799	147098	Enzo Doria	07/2014
1738	2^488627-350317	147092	Enzo Doria	06/2015
1739	(2^488441-1)/(61543567*30051203516986199)	147012	Dario Alpern	12/2014
1740	2^488280-2165	146987	Yves Minet	07/2014
1741	2^488278+45	146987	Lelio R Paula	12/2017
1742	2^487927-39	146881	Lelio R Paula	12/2017
1743	(7*10^146860-13)/3	146861	Robert Price	07/2018
1744	(26*10^146856-77)/3	146857	Robert Price	11/2019
1745	2^487726-1863341	146821	Enzo Doria	12/2015
1746	((10^73362-1)10000/9+6701)10^73362+(10^73362-1)/9	146728	Hans Havermann	09/2019
1747	(22*10^146661-19)/3	146662	Robert Price	04/2019
1748	2^487121-39523	146639	Enzo Doria	09/2015
1749	(7*2^486967+1)/39	146591	Lelio R Paula	09/2015
1750	2^486893-79	146570	Yves Minet	09/2017

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