
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:  492590931 · 2^{80000}  1631979959 · 2^{25001}  1 
Verification status (*):  PRP 
Official Comment:  Arithmetic progression (4,d=164196977*2^800001631979959*2^25000) 
Unofficial Comments:  This prime has 1 user comment below. 
Proofcode(s): (*):  p199 : Broadhurst, NewPGen, OpenPFGW 
Decimal Digits:  24092 (log_{10} is 24091.09213953) 
Rank (*):  63591 (digit rank is 4) 
Entrance Rank (*):  38518 
Currently on list? (*):  short 
Submitted:  10/24/2010 16:44:10 CDT 
Last modified:  10/24/2010 17:20:22 CDT 
Database id:  95651 
Status Flags:  Verify 
Score (*):  35.1618 (normalized score 0.0001) 

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.
 Arithmetic Progressions of Primes (archivable class *)
 Prime on list: yes, rank 1, weight 46.4562230293586
Subcategory: "Arithmetic progression (4,d=*)"
(archival tag id 210865, tag last modified 20160315 13:57:14)
User comments about this prime (disclaimer):
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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  95651 
person_id  9 
machine  RedHat P4 P4 
what  trial_divided 
notes  Command: /home/caldwell/client/pfgw o f q"492590931*2^800001631979959*2^250011" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 7414792 492590931*2^800001631979959*2^250011 has no small factor. [Elapsed time: 14.354 seconds]

modified  20111227 16:48:36 
created  20101024 16:48:02 
id  120691 

field  value 
prime_id  95651 
person_id  9 
machine  RedHat Virtual STEM Server 
what  prp 
notes  Command: /home/caldwell/client/pfgw tp q"492590931*2^800001631979959*2^250011" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 492590931*2^800001631979959*2^250011 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling BrillhartLehmerSelfridge with factored part 31.24% 492590931*2^800001631979959*2^250011 is Lucas PRP! (117.5067s+0.0005s) [Elapsed time: 2.12 minutes]

modified  20101128 11:14:56 
created  20101024 16:48:40 
id  120695 

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
