37 · 2939364 + 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:37 · 2939364 + 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):p122 : Sun, NewPGen, PRP, OpenPFGW
Decimal Digits:282779   (log10 is 282778.309048624)
Rank (*):14400 (digit rank is 1)
Entrance Rank (*):126
Currently on list? (*):no
Submitted:2/9/2006 22:54:37 CDT
Last modified:2/10/2006 04:26:23 CDT
Removed (*):4/4/2013 13:18:26 CDT
Database id:77015
Status Flags:none
Score (*):42.7535 (normalized score 0.3658)

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_id77015
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 37 2 939364 1 2>&1
[Elapsed time: 15.924 seconds]
modified2006-03-10 10:52:00
created2006-02-09 23:22:00
id83018

fieldvalue
prime_id77015
person_id9
machineWinXP Pentium M 1.7GHz
whatprime
notesCommand: pfgw.exe -n -t -q"37*2^939364+1" 2>&1
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Running N-1 test using base 3
N-1: 37*2^939364+1 932500/Primality testing 37*2^939364+1 [N-1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
37*2^939364+1 is prime! (10444.0760s+0.0516s)
939371
[Elapsed time: 10444 seconds]
modified2006-03-10 10:52:00
created2006-02-10 01:32:14
id83022

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