600921 · 21727190 - 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:600921 · 21727190 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):g337 : Hsieh, NewPGen, PRP, Proth.exe
Decimal Digits:519942   (log10 is 519941.77702825)
Rank (*):1932 (digit rank is 1)
Entrance Rank (*):419
Currently on list? (*):yes
Submitted:6/4/2013 00:40:29 CDT
Last modified:6/4/2013 08:20:42 CDT
Database id:114325
Status Flags:none
Score (*):44.6252 (normalized score 2.1326)

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 64-bit Laptop
notesCommand: cllr64.exe -q"600921*2^1727190-1" 2>&1 -d
Starting Lucas Lehmer Riesel prime test of 600921*2^1727190-1
Using AVX FFT length 168K, Pass1=896, Pass2=192
V1 = 3 ; Computing U0...
V1 = 3 ; Computing U0...done.
Starting Lucas-Lehmer loop...
[Elapsed time: 1743 seconds]
modified2013-08-16 09:44:47
created2013-06-04 07:26:22

machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 600921 2 1727190 -1 2>&1
[Elapsed time: 10.895 seconds]
modified2013-06-04 07:30:39
created2013-06-04 00:48:01

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.