6297621838515 · 2666666 - 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:6297621838515 · 2666666 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L927 : Brown1, TwinGen, PrimeGrid, LLR
Decimal Digits:200700   (log10 is 200699.2622659)
Rank (*):27051 (digit rank is 2156)
Entrance Rank (*):2291
Currently on list? (*):no
Submitted:9/11/2010 23:48:35 CDT
Last modified:9/12/2010 00:50:23 CDT
Removed (*):6/20/2011 20:47:51 CDT
Database id:94812
Status Flags:none
Score (*):41.699 (normalized score 0.0833)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 6297621838515 2 666666 -1 2>&1
[Elapsed time: 9.711 seconds]
modified2011-12-27 16:48:37
created2010-09-11 23:52:11

machineDitto P4 P4
notesCommand: /home/ditto/client/llr.pl 6297621838515*2^666666-1 2>&1
Starting Lucas Lehmer Riesel prime test of 6297621838515*2^666666-1
Using Zero Padded IBDWT : Mersenne fftlen = 32768, Used fftlen = 65536
V1 = 11 ; Computing U0...
V1 = 11 ; Computing U0...done.
Starting Lucas-Lehmer loop...

6297621838515*2^666666-1 is prime! Time : 1306.919 sec.
[Elapsed time: 21.80 minutes]
modified2010-10-13 12:41:34
created2010-09-12 00:26:36

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