"19000302866132191930...(470418 other digits)...64447092025915867137"

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Description:"19000302866132191930...(470418 other digits)...64447092025915867137"
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):p360 : Kinne, Exoo, OpenPFGW
Decimal Digits:470458   (log10 is 470457.27876052)
Rank (*):4516 (digit rank is 1)
Entrance Rank (*):755
Currently on list? (*):yes
Submitted:8/15/2013 21:08:46 CDT
Last modified:10/4/2013 13:01:06 CDT
Database id:115087
Blob database id:301
Status Flags:TrialDiv
Score (*):44.318 (normalized score 1.0786)

title='from prime_blob table' id='blob'>Description: (from blob table id=301)

2^1100 * 271700824643^1049 * 136719143081^1067 * 954705875287^1040 * 137068769641^1082 * 247158263951^1070 * 113947367657^1086 * 254930670877^1032 * 90774262543^1096 * 620171081969^1019 * 563609454143^1004 * 732852506131^1029 * 713494182679^1051 * 716643207227^1073 * 278746980571^1045 * 371573782193^1027 * 370351805561^1015 * 488136852173^1091 * 694291124903^1087 * 151695602033^1087 * 161812058237^1064 * 118094505653^1018 * 570928070191^1028 * 624826621301^1055 * 265118642377^1053 * 644565332303^1004 * 254982673499^1005 * 880926960259^1053 * 272761963063^1020 * 163900848427^1040 * 158198243419^1017 * 44110956143^1093 * 446489831849^1035 * 258414216631^1086 * 244269285011^1026 * 17598427921^1092 * 919997452007^1074 * 755644710049^1052 * 614105632649^1063 * 667747243589^1014 + 1

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id115087
person_id9
machineRedHat Virtual STEM Server
whatprime
notesCommand: /home/caldwell/client/pfgw -tc -hhelper p_115087.txt 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 1900030286...5915867137 [N-1/N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file helper Running N-1 test using base 3 Running N-1 test using base 5 Running N+1 test using discriminant 11, base 1+sqrt(11) Calling N-1 BLS with factored part 51.69% and helper 0.00% (155.08% proof) 1900030286...5915867137 is prime! (88249.8278s+2.5599s) [Elapsed time: 24.51 hours] Helper File: 271700824643 136719143081 954705875287 137068769641 247158263951 113947367657 254930670877 90774262543 620171081969 563609454143 732852506131 713494182679 716643207227 278746980571 371573782193 370351805561 488136852173 694291124903 151695602033 161812058237
modified2020-07-07 17:30:18
created2013-08-16 10:41:30
id160572

Query times: 0.0016 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.