
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:  2985 · 2^{1404275}  770527213395 · 2^{1290000}  1 
Verification status (*):  Proven 
Official Comment:  Arithmetic progression (3,d=2985*2^1404274770527213395*2^1290000) 
Proofcode(s): (*):  p199 : Broadhurst, NewPGen, OpenPFGW 
Decimal Digits:  422733 (log_{10} is 422732.372105372) 
Rank (*):  5460 (digit rank is 1) 
Entrance Rank (*):  2815 
Currently on list? (*):  short 
Submitted:  1/26/2017 12:52:16 CDT 
Last modified:  1/26/2017 16:20:21 CDT 
Database id:  122796 
Status Flags:  TrialDiv 
Score (*):  43.9894 (normalized score 0.9291) 

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 3, weight 51.4378901554799
Subcategory: "Arithmetic progression (3,d=*)"
(archival tag id 218578, tag last modified 20170202 09:20:09)
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  122796 
person_id  9 
machine  Using: Xeon (pool) 4c+4c 3.5GHz 
what  prime 
notes  Command: /home/caldwell/clientpool/1/pfgw64 tp q"2985*2^1404275770527213395*2^12900001" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2985*2^1404275770527213395*2^12900001 [N+1, BrillhartLehmerSelfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling BrillhartLehmerSelfridge with factored part 91.86%
2985*2^1404275770527213395*2^12900001 is prime! (12327.1065s+0.0011s) [Elapsed time: 3.42 hours]

modified  20170127 05:57:10 
created  20170126 12:53:01 
id  168439 

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
