5765 · 21257681 + 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:5765 · 21257681 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3430 : Durstewitz, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:378604   (log10 is 378603.46677598)
Rank (*):8728 (digit rank is 1)
Entrance Rank (*):3034
Currently on list? (*):no
Submitted:4/8/2014 09:20:30 CDT
Last modified:4/8/2014 11:52:14 CDT
Removed (*):4/27/2015 01:54:55 CDT
Database id:117580
Status Flags:TrialDiv
Score (*):43.6506 (normalized score 0.914)

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_id117580
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: pfgw64.exe -t -q"5765*2^1257681+1" 2>&1
PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8]
Primality testing 5765*2^1257681+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
5765*2^1257681+1 is prime! (1076.9459s+0.0028s)
[Elapsed time: 1077 seconds]
modified2014-04-14 15:25:10
created2014-04-08 11:20:54
id163115

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