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	2^518931-2782297	156214	Enzo Doria	09/2015
1502	2^518608-2939	156117	Yves Minet	09/2014
1503	10*27^109005+697	156027	Curtis Bright	05/2015
1504	2^517967-113485	155924	Enzo Doria	08/2014
1505	2^517698+4429	155843	Lelio R Paula	01/2013
1506	2^517543-113257	155796	Enzo Doria	07/2014
1507	(14*10^155740-143)/3	155741	Robert Price	11/2018
1508	31^104309-30^104309	155563	Henri Lifchitz	08/2013
1509	2^516742-39851	155555	Enzo Doria	09/2015
1510	7*10^155496+61	155497	Robert Price	08/2019
1511	2^516440+1878421	155464	Enzo Doria	08/2016
1512	2^515863-1867237	155291	Enzo Doria	03/2016
1513	2^515786-461861	155268	Enzo Doria	07/2015
1514	2^515644-113247	155225	Enzo Doria	07/2014
1515	(7*10^155203+107)/3	155204	Robert Price	02/2018
1516	(17*10^155133-89)/9	155134	Robert Price	07/2018
1517	2^515227-114997	155099	Enzo Doria	06/2015
1519	EPrime(155025)	155025	Eric W. Weisstein	10/2010
1518	(14*10^155024-221)/9	155025	Robert Price	04/2018
1520	(4*10^155022+173)/3	155023	Robert Price	02/2018
1521	(115*10^154869-1)/3	154871	Serge Batalov	12/2014
1522	(86*10^154853-221)/9	154854	Robert Price	09/2019
1523	2^514361+78167	154839	Enzo Doria	05/2016
1524	2^514281-115033	154815	Enzo Doria	06/2015
1525	2^514194-3311	154788	Yves Minet	12/2014
1526	(14*10^154773+37)/3	154774	Robert Price	12/2018
1527	2^513437+1879337	154560	Enzo Doria	09/2016
1528	2^513306-113201	154521	Enzo Doria	07/2014
1529	(10^154494-13)/3	154494	Robert Price	12/2017
1530	2^513042-113787	154442	Enzo Doria	09/2014
1531	2^512628-114053	154317	Enzo Doria	11/2014
1532	2^512529-49783	154287	Enzo Doria	10/2015
1533	(355573#+6991)/(6991*2031599)	154285	Makoto Morimoto	06/2019
1534	2^512315-115297	154223	Enzo Doria	06/2015
1535	2^512168+79561	154178	Enzo Doria	06/2016
1536	4*10^154078-57	154079	Robert Price	10/2018
1537	(355049#+1859)/(111310148891*62587751)	154051	Makoto Morimoto	06/2019
1538	2^511658-114371	154025	Enzo Doria	02/2015
1539	(57^87719+1)/58	154022	Paul Bourdelais	11/2017
1540	2^511580-1846679	154001	Enzo Doria	07/2015
1541	2^511541-113713	153990	Enzo Doria	09/2014
1542	2^511077-112723	153850	Enzo Doria	06/2014
1543	69^83653-68^83653	153826	Robert Price	12/2013
1544	2^510963-113707	153816	Enzo Doria	09/2014
1545	(154*10^153810-1)/9	153812	Serge Batalov	12/2014
1546	(181*25^109991-75077)/8	153763	Curtis Bright	05/2015
1547	2*10^153746-3	153747	Robert Price	07/2015
1548	2^510626+1179379	153714	Enzo Doria	05/2016
1549	(7*10^153664+113)/3	153665	Robert Price	02/2018
1550	2^510420+81121	153652	Enzo Doria	07/2016
1551	(197*7^181761-1)/2	153608	Karsten Bonath	05/2017
1552	2^509894-459161	153494	Enzo Doria	05/2015
1553	2^509841+71657	153478	Enzo Doria	04/2016
1554	2^509533-1846723	153385	Enzo Doria	07/2015
1555	2^509468-39989	153366	Enzo Doria	09/2015
1556	70^83117-69^83117	153360	Robert Price	01/2014
1557	(112*10^153025-1)/3	153027	Serge Batalov	12/2014
1558	2^508174-1855151	152976	Enzo Doria	09/2015
1559	181^67757-2	152974	Lelio R Paula	12/2017
1560	2^508160-1864829	152972	Enzo Doria	01/2016
1561	2^507857-1848199	152881	Enzo Doria	07/2015
1562	2^507638-115361	152815	Enzo Doria	07/2015
1563	2^507551-114025	152789	Enzo Doria	11/2014
1564	(6^196337+1)/7	152780	Paul Bourdelais	02/2010
1565	(22*10^152670-13)/9	152671	Robert Price	06/2018
1566	2^506451-22339	152457	Enzo Doria	07/2013
1567	2^505995-113185	152320	Enzo Doria	07/2014
1568	(4*10^152253+149)/9	152253	Robert Price	04/2018
1569	578^55117-577^55117	152230	Jean-Louis Charton	08/2012
1570	2^505431-505431	152150	Henri Lifchitz	04/2005
1571	2^505053+73097	152037	Enzo Doria	04/2016
1572	(2^504793-7)/46765	151954	Lelio R Paula	12/2017
1573	350377#+797581	151937	Nicolas PALAU	08/2017
1574	2^504618-343991	151906	Enzo Doria	07/2015
1575	2^504212-461939	151783	Enzo Doria	07/2015
1576	2^504054-2231	151736	Yves Minet	10/2011
1577	2^503361-39883	151527	Enzo Doria	09/2015
1578	2^503225+382667	151486	Enzo Doria	10/2016
1579	(26*10^151391-503)/9	151392	Robert Price	07/2018
1580	2^502769+1877567	151349	Enzo Doria	08/2016
1581	2^502576-4019	151291	Yves Minet	10/2011
1582	5*10^151257+41	151258	Robert Price	03/2019
1583	2^502290-2792501	151205	Enzo Doria	02/2016
1584	2^502181+1868417	151172	Enzo Doria	04/2016
1585	2^501781-1850503	151052	Enzo Doria	08/2015
1586	(5*10^151007+37)/3	151008	Robert Price	03/2018
1587	2^501627-991	151005	Yves Minet	02/2014
1588	2^501577-115333	150990	Enzo Doria	07/2015
1589	8*10^150975+3	150976	Robert Price	08/2015
1590	2^501512-113669	150971	Enzo Doria	09/2014
1591	(12^139739+1)/13	150803	Paul Bourdelais	09/2011
1592	(31^101111-1)/30	150792	Alexander Zhirkov	11/2010
1593	2^500899-500899	150786	Henri Lifchitz	04/2005
1594	2^500832+1876801	150766	Enzo Doria	07/2016
1595	(23*10^150763-59)/9	150764	Robert Price	05/2018
1596	2^500699+1884953	150726	Enzo Doria	02/2017
1597	(13*10^150675-37)/3	150676	Robert Price	01/2019
1598	(2^500527+lucasV(1,2,500527)+1)/4	150674	Mike Oakes	11/2016
1600	2^500337-71101	150617	Enzo Doria	04/2016
1599	(74*10^150616+133)/9	150617	Robert Price	06/2019
1601	4*10^150577+91	150578	Robert Price	08/2018
1602	2^500160+80071	150564	Enzo Doria	06/2016
1603	(2^500120+5)/9	150551	Lelio R Paula	12/2017
1604	(43*10^150515-421)/9	150516	Robert Price	01/2019
1605	(10^150551-1)/9/385207015049/57498437921/7808738631274081	150512	Maksym Voznyy	08/2014
1606	(10^150551-1)/1556587827131683185788921941743157225041	150512	Robert Price	07/2016
1607	2^499861-29503	150474	Enzo Doria	08/2015
1608	2^499653-113533	150411	Enzo Doria	08/2014
1609	2^499534-221	150375	Yves Minet	06/2012
1610	2^499225+49727	150282	Enzo Doria	09/2016
1611	2^499054-29261	150231	Enzo Doria	07/2015
1612	(2^498898-7)/9	150183	Lelio R Paula	10/2015
1613	3*10^150182+17	150183	Robert Price	07/2018
1614	2^498623+1866983	150101	Enzo Doria	03/2016
1615	numbpart(18140942830)	150033	Serge Batalov	04/2017
1616	10^150029+4381	150030	Patrick De Geest	05/2016
1617	10^150029-41	150029	Serge Batalov	12/2014
1618	10^150000+1158603	150001	Patrick De Geest	09/2018
1619	10^150000-245703	150000	Patrick De Geest	09/2018
1620	(38*10^149999+691)/9	150000	Robert Price	10/2018
1621	2^498238-53	149985	Lelio R Paula	12/2017
1622	5*10^149907+23	149908	Robert Price	03/2019
1623	2^497850+81049	149868	Enzo Doria	07/2016
1624	(5*2^497673+1)/2743	149812	Lelio R Paula	10/2015
1625	(5*2^497671+1)/373703	149810	Lelio R Paula	10/2015
1626	(2*10^149803-143)/3	149803	Robert Price	03/2018
1627	2^497434-2784191	149743	Enzo Doria	10/2015
1628	(23*10^149655+19)/3	149656	Robert Price	07/2019
1629	2^497068-113579	149633	Enzo Doria	08/2014
1630	2^497037+73727	149624	Enzo Doria	04/2016
1631	2^496773+77747	149544	Enzo Doria	05/2016
1632	2^496477-113485	149455	Enzo Doria	08/2014
1633	((10^74703-1)10000/9+7481)10^74703+(10^74703-1)/9	149410	Hans Havermann	09/2019
1634	2^496270-49451	149393	Enzo Doria	10/2015
1635	2^496238-1865081	149383	Enzo Doria	01/2016
1636	2^495968-1853699	149302	Enzo Doria	09/2015
1637	2^495935-4117	149292	Yves Minet	02/2018
1638	2^495712-396765	149225	Enzo Doria	07/2013
1639	(21*2^495676-1)/4835	149211	Lelio R Paula	10/2015
1640	2^495420+1880701	149137	Enzo Doria	10/2016
1641	2^495337-1847293	149112	Enzo Doria	07/2015
1642	(2^495193-7)/5	149068	Lelio R Paula	10/2015
1643	413^56963-412^56963	149013	Jean-Louis Charton	08/2012
1644	47^89113-46^89113	149006	Robert Price	10/2012
1645	2^494916+87855	148985	Lelio R Paula	01/2016
1646	6*10^148982+73	148983	Robert Price	04/2019
1647	2^494586-2791991	148886	Enzo Doria	02/2016
1648	8*10^148860-3	148861	Ray Chandler	04/2011
1649	2^494333-286183	148810	Enzo Doria	06/2015
1650	2^494144-264119	148753	Enzo Doria	05/2014
1651	(5*2^493838-1)/3721	148658	Lelio R Paula	10/2015
1652	(23*2^493761-1)/555	148636	Lelio R Paula	10/2015
1653	2^493636+82081	148600	Enzo Doria	09/2016
1654	((((((((((((((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
1655	177487#+(519643#)/(177487#)	148558	Makoto Morimoto	11/2017
1656	(2*10^148460-23)/3	148460	Robert Price	04/2018
1657	(8*10^148328+1)/9	148328	Serge Batalov	05/2010
1658	(71*10^148306-539)/9	148307	Robert Price	07/2019
1659	5^211959-12874	148153	Enzo Doria	05/2014
1660	(16*10^148071+41)/3	148072	Robert Price	03/2019
1661	187^65175-2	148068	Lelio R Paula	11/2017
1662	2^491851+1871453	148062	Enzo Doria	05/2016
1663	(68*10^148060-257)/9	148061	Robert Price	07/2019
1664	2^491521-1865323	147963	Enzo Doria	02/2016
1665	(2^491476+7)/71	147948	Lelio R Paula	10/2015
1666	2^491391-7807	147924	Lelio R Paula	01/2013
1667	2^491370-113297	147918	Enzo Doria	07/2014
1668	(32760^32760+32759^32759)/95546586737133567708319	147900	Robert Price	07/2016
1669	(17*10^147890+79)/3	147891	Robert Price	04/2019
1670	2^490660-17	147704	Lelio R Paula	12/2017
1671	2^490550+1179439	147671	Enzo Doria	06/2016
1672	(23*10^147649-59)/9	147650	Robert Price	05/2018
1673	2^490303+2793653	147596	Enzo Doria	03/2016
1674	199^64181-2	147543	Lelio R Paula	11/2017
1675	2^489871-286987	147466	Enzo Doria	07/2015
1676	2^489864-351899	147464	Enzo Doria	07/2015
1677	175^65724-2	147422	Lelio R Paula	11/2017
1678	2^489712+1874851	147419	Enzo Doria	06/2016
1679	63^81896-2	147359	Lelio R Paula	10/2017
1680	(11*10^147313-107)/3	147314	Robert Price	09/2018
1681	2^489305-59815	147296	Enzo Doria	10/2015
1682	(2^489280-7)/6381	147285	Lelio R Paula	09/2015
1683	2^489125+80357	147242	Enzo Doria	06/2016
1684	2^488648-112799	147098	Enzo Doria	07/2014
1685	2^488627-350317	147092	Enzo Doria	06/2015
1686	(2^488441-1)/(61543567*30051203516986199)	147012	Dario Alpern	12/2014
1687	2^488280-2165	146987	Yves Minet	07/2014
1688	2^488278+45	146987	Lelio R Paula	12/2017
1689	2^487927-39	146881	Lelio R Paula	12/2017
1690	(7*10^146860-13)/3	146861	Robert Price	07/2018
1691	(26*10^146856-77)/3	146857	Robert Price	11/2019
1692	2^487726-1863341	146821	Enzo Doria	12/2015
1693	((10^73362-1)10000/9+6701)10^73362+(10^73362-1)/9	146728	Hans Havermann	09/2019
1694	(22*10^146661-19)/3	146662	Robert Price	04/2019
1695	2^487121-39523	146639	Enzo Doria	09/2015
1696	(7*2^486967+1)/39	146591	Lelio R Paula	09/2015
1697	2^486893-79	146570	Yves Minet	09/2017
1698	2^486840+1879141	146554	Enzo Doria	08/2016
1699	2^486774-87	146534	Lelio R Paula	12/2017
1700	96^73877-95^73877	146445	Robert Price	10/2015
1701	8*10^146421+81	146422	Robert Price	08/2019
1702	(52^85259+1)/53	146304	Paul Bourdelais	09/2017
1703	179^64935+2	146290	Lelio R Paula	10/2017
1704	(19*10^146181-49)/3	146182	Robert Price	05/2019
1705	2^485531-114621	146160	Enzo Doria	05/2015
1706	(2^485461-9)/4249	146135	Lelio R Paula	09/2015
1707	2^485389+81887	146117	Enzo Doria	08/2016
1708	(10^146063+71)/9	146063	Serge Batalov	07/2015
1709	(2^485119+7)/2745	146032	Lelio R Paula	09/2015
1710	(22*10^146029+257)/9	146030	Robert Price	06/2018
1711	2^484743+1872923	145923	Enzo Doria	05/2016
1712	2^484341+1879157	145802	Enzo Doria	08/2016
1713	2^484271-51	145781	Lelio R Paula	11/2017
1714	70^78989-69^78989	145743	Robert Price	01/2014
1715	51^85334+2	145714	Robert Price	07/2015
1716	2^483886-1857101	145665	Enzo Doria	10/2015
1717	2^483563-1863457	145567	Enzo Doria	12/2015
1718	2^483516-1861409	145553	Enzo Doria	11/2015
1719	2^483384-115019	145514	Enzo Doria	06/2015
1720	(19*10^145499-61)/3	145500	Robert Price	05/2019
1721	2^483302-3221	145489	Lelio R Paula	12/2012
1722	2^483046+1874029	145412	Enzo Doria	06/2016
1723	2^482991-2789317	145395	Enzo Doria	12/2015
1724	2^482978-2789711	145391	Enzo Doria	12/2015
1725	2^482966-2789711	145388	Enzo Doria	12/2015
1726	2^482817-1858843	145343	Enzo Doria	10/2015
1727	2^482751-113635	145323	Enzo Doria	08/2014
1728	2^482705-459763	145309	Enzo Doria	05/2015
1729	(4^241306+11)/3	145281	Robert Price	03/2017
1730	(19*2^482534+1)/7	145258	Lelio R Paula	09/2015
1731	53^84239-52^84239	145252	Robert Price	01/2013
1732	(2^482333+5)/9287	145193	Lelio R Paula	09/2015
1733	2^482087+72623	145123	Enzo Doria	04/2016
1734	2^482016-286565	145102	Enzo Doria	07/2015
1735	(19*10^145093+101)/3	145094	Robert Price	09/2019
1736	2^481840+15	145049	Robert Price	09/2015
1737	2^481801-481801	145037	Henri Lifchitz	03/2005
1738	2^481775+1869083	145029	Enzo Doria	05/2016
1739	29^99167+2	145022	Ray Chandler	08/2011
1740	2^481663+1875653	144996	Enzo Doria	07/2016
1741	2^481149-459073	144841	Enzo Doria	05/2015
1742	2^481045-113215	144809	Enzo Doria	07/2014
1743	(64*10^144797+287)/9	144798	Robert Price	04/2019
1744	2^480859-113695	144753	Enzo Doria	09/2014
1745	2^480766-2787191	144725	Enzo Doria	11/2015
1746	(21*27^101106-151)/26	144720	Curtis Bright	05/2015
1747	2^480678+1874239	144699	Enzo Doria	06/2016
1748	(8*10^144683+1)/9	144683	Serge Batalov	05/2010
1749	L(692147)	144651	Henri Lifchitz	10/2008
1750	(76*10^144648+77)/9	144649	Robert Price	10/2019

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Probable Primes Top 10000

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