5909 · 2557581 + 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:5909 · 2557581 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1303 : Koval, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:167853   (log10 is 167852.37752631)
Rank (*):32294 (digit rank is 1)
Entrance Rank (*):4943
Currently on list? (*):no
Submitted:10/12/2010 08:28:51 CDT
Last modified:10/12/2010 20:33:51 CDT
Removed (*):10/15/2010 22:34:54 CDT
Database id:95357
Status Flags:none
Score (*):41.1491 (normalized score 0.0453)

User comments about this prime (disclaimer):

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Jan Koval writes (11 Sep 2014):  (report abuse)
Divides xGF(557580,7,4)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 5909 2 557581 1 2>&1 [Elapsed time: 10.029 seconds]
modified2020-07-07 17:30:33
created2010-10-12 08:35:31

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"5909*2^557581+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 5909*2^557581+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 5909*2^557581+1 is prime! (1538.9400s+0.0000s) [Elapsed time: 26.12 minutes]
modified2020-07-07 17:30:33
created2010-10-12 19:29:09

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
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