
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes. This prime's information:
field (help)  value 
Description:  R(1031) 
Verification status (*):  Proven 
Official Comment:  Repunit 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  WD : Dubner, Williams, Cruncher 
Decimal Digits:  1031 (log_{10} is 1030.04575749056) 
Rank (*):  113126 (digit rank is 57) 
Entrance Rank (*):  565 
Currently on list? (*):  short 
Submitted:  1985 
Last modified:  1985 
Database id:  55968 
Status Flags:  none 
Score (*):  25.3646 (normalized score 0) 

Archival tags:
There are certain forms classed as
archivable: these prime may (at times)
remain on this list even if they do not make
the Top 5000 proper. Such primes are tracked with archival
tags.
 Repunit (archivable *)
 Prime on list: yes, rank 1
Subcategory: "Repunit"
(archival tag id 186344, tag last modified 20081002 15:50:05)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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.
field  value 
prime_id  55968 
person_id  9 
machine  RedHat P4 P4 
what  prime 
notes  Command: /home/caldwell/client/pfgw tc hhelp1031 q"R(1031)" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing R(1031) [N1/N+1, BrillhartLehmerSelfridge] Reading factors from helper file help1031 Running N1 test using base 7 Running N+1 test using discriminant 29, base 2+sqrt(29) Calling N1 BLS with factored part 40.49% and helper 0.09% (121.60% proof) R(1031) is prime! (0.4723s+0.0003s) [Elapsed time: 0.00 seconds] Helper File: 7034077 Phi(103,10)/1031/7034077 44092859 102860539 984385009 612053256358933 182725114866521155647161 Phi(206,10)/1237/44092859/102860539/984385009/612053256358933/182725114866521155647161 5905014721 326345481191 2702394989404991 7073532436575439739956079653594194521 85517237338860102283865323577960208481 497491 569836171 2013681931 567664121498896654896380203841 896048585318577702680084550566846611

modified  20110415 10:07:17 
created  20110330 21:56:24 
id  128098 

Query times: 0.0005 seconds to select prime, 0.0003 seconds to seek comments.
