251 · 22730917 + 1

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:251 · 22730917 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3924 : Kim5, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:822091   (log10 is 822090.33234241)
Rank (*):1747 (digit rank is 1)
Entrance Rank (*):203
Currently on list? (*):short
Submitted:3/2/2015 05:52:01 CDT
Last modified:3/2/2015 07:27:50 CDT
Database id:119485
Status Flags:TrialDiv
Score (*):46.0318 (normalized score 4.8288)

User comments about this prime (disclaimer):

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Seonghwan Kim writes (2 Mar 2015):  (report abuse)
Divides xGF(2730916,5,4)!!!!

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 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"251*2^2730917+1" 2>&1 PFGW Version [GWNUM 27.11] Primality testing 251*2^2730917+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 251*2^2730917+1 is prime! (2903.5827s+0.0004s) [Elapsed time: 48.40 minutes]
modified2020-07-07 17:30:17
created2015-03-02 06:01:59

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