15 · 22988834 + 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.

This prime's information:

Description:15 · 22988834 + 1
Verification status (*):Proven
Official Comment (*):[none]
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p286 : Batalov, Srsieve, OpenPFGW
Decimal Digits:899730   (log10 is 899729.86215162)
Rank (*):2294 (digit rank is 1)
Entrance Rank (*):75
Currently on list? (*):short
Submitted:12/15/2012 12:02:56 CDT
Last modified:12/15/2012 17:50:23 CDT
Database id:110411
Status Flags:none
Score (*):46.3088 (normalized score 4.9584)

User comments about this prime (disclaimer):

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Serge Batalov writes (11 Sep 2014):  (report abuse)
15*2^2988834+1 is a Factor of GF(2988832,8)/F(2988832); 15*2^2988834+1 is a Factor of xGF(2988833,12,11)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 15 2 2988834 1 2>&1 [Elapsed time: 10.450 seconds]
modified2020-07-07 17:30:23
created2012-12-15 12:05:01

machineDitto P4 P4
notesCommand: /home/ditto/client/pfgw -t -q"15*2^2988834+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 15*2^2988834+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 11 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 15*2^2988834+1 is prime! (19895.6947s+0.0020s) [Elapsed time: 5.53 hours]
modified2020-07-07 17:30:23
created2012-12-15 12:08:01

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
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