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9 · 25642513 + 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:9 · 25642513 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3432 : Batalov, Srsieve, LLR
Decimal Digits:1698567   (log10 is 1698566.61816647)
Rank (*):137 (digit rank is 1)
Entrance Rank (*):28
Currently on list? (*):short
Submitted:11/29/2013 01:25:01 CDT
Last modified:11/29/2013 22:20:57 CDT
Database id:116472
Status Flags:TrialDiv
Score (*):48.2579 (normalized score 58.4486)

User comments about this prime (disclaimer):

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Serge Batalov writes (11 Sep 2014):  (report abuse)
Divides GF(5642510,7), xGF(5642511,5,3), xGF(5642509,9,2), xGF(5642512,12,11)

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.
fieldvalue
prime_id116472
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"9*2^5642513+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 9*2^5642513+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
9*2^5642513+1 is prime! (74024.8219s+0.0037s)
[Elapsed time: 20.56 hours]
modified2014-04-01 17:37:40
created2013-11-29 01:38:02
id161981

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
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