583990308807 · 21290000 - 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:583990308807 · 21290000 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L3203 : Scalise, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.46081218)
Rank (*):7589 (digit rank is 1206)
Entrance Rank (*):1221
Currently on list? (*):no
Submitted:5/1/2013 08:21:09 CDT
Last modified:5/1/2013 10:20:28 CDT
Removed (*):1/6/2016 13:04:30 CDT
Database id:114030
Status Flags:none
Score (*):43.7286 (normalized score 0.9999)

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/llr.pl 583990308807*2^1290000-1 2>&1
Starting Lucas Lehmer Riesel prime test of 583990308807*2^1290000-1
Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

583990308807*2^1290000-1 is prime! Time : 5628.878 sec.
[Elapsed time: 1.56 hours]
modified2013-06-04 07:30:39
created2013-05-01 08:23:01

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 583990308807 2 1290000 -1 2>&1
[Elapsed time: 10.343 seconds]
modified2013-06-04 07:30:39
created2013-05-01 08:35:01

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