771 · 22115741 + 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:771 · 22115741 + 1
Verification status (*):Proven
Official Comment:
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L1675 : Schwieger, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:636905   (log10 is 636904.39111048)
Rank (*):1818 (digit rank is 1)
Entrance Rank (*):308
Currently on list? (*):yes
Submitted:4/23/2014 03:48:15 CDT
Last modified:4/23/2014 10:52:13 CDT
Database id:117696
Status Flags:TrialDiv
Score (*):45.2483 (normalized score 2.8997)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Wolfgang Schwieger writes (11 Sep 2014): 
Divides xGF(2115740,7,5)!!!!

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.
machineWinXP Dual Core 2.6GHz 32-bit
notesCommand: pfgw32.exe -t -q"771*2^2115741+1" 2>&1
PFGW Version [GWNUM 27.8]
Primality testing 771*2^2115741+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 5
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
771*2^2115741+1 is prime! (5699.5785s+0.0035s)
[Elapsed time: 5699 seconds]
modified2014-06-21 13:36:26
created2014-04-23 08:51:13

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