2985 · 21404275 - 770527213395 · 21290000 - 1
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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 · 21404275 - 770527213395 · 21290000 - 1
Verification status (*):Proven
Official Comment:Arithmetic progression (3,d=2985*2^1404274-770527213395*2^1290000)
Proof-code(s): (*):p199 : Broadhurst, NewPGen, OpenPFGW
Decimal Digits:422733   (log10 is 422732.372105372)
Rank (*):3830 (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 1.1913)

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 2017-02-02 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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"2985*2^1404275-770527213395*2^1290000-1" 2>&1
PFGW Version [GWNUM 27.11]
Primality testing 2985*2^1404275-770527213395*2^1290000-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 7, base 1+sqrt(7)
Calling Brillhart-Lehmer-Selfridge with factored part 91.86%

2985*2^1404275-770527213395*2^1290000-1 is prime! (12327.1065s+0.0011s)
[Elapsed time: 3.42 hours]
modified2017-01-27 05:57:10
created2017-01-26 12:53:01

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.