263 · 21587302 - 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:263 · 21587302 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2101 : Tutusaus, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:477828   (log10 is 477827.93413318)
Rank (*):3852 (digit rank is 1)
Entrance Rank (*):296
Currently on list? (*):yes
Submitted:8/28/2012 09:52:22 CDT
Last modified:8/28/2012 11:20:36 CDT
Database id:108986
Status Flags:none
Score (*):44.3657 (normalized score 1.1994)

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 Virtual STEM Server
notesCommand: /home/caldwell/client/llr.pl 263*2^1587302-1 2>&1
Starting Lucas Lehmer Riesel prime test of 263*2^1587302-1
Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 114688
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.Starting Lucas-Lehmer loop...

263*2^1587302-1 is prime! Time : 3989.245 sec.
[Elapsed time: 66.50 minutes]
modified2012-09-15 19:04:20
created2012-08-28 09:52:38

machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 263 2 1587302 -1 2>&1
[Elapsed time: 10.238 seconds]
modified2012-09-15 19:04:20
created2012-08-28 10:05:02

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