27 · 21253870 - 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:27 · 21253870 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L65 : Clowes, NewPGen, 12121search, LLR
Decimal Digits:377454   (log10 is 377453.91202696)
Rank (*):8885 (digit rank is 1)
Entrance Rank (*):142
Currently on list? (*):no
Submitted:6/29/2008 13:49:11 CDT
Last modified:6/29/2008 15:07:38 CDT
Removed (*):4/15/2015 09:28:16 CDT
Database id:85253
Status Flags:none
Score (*):43.6412 (normalized score 0.8888)

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_id85253
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 27 2 1253870 -1 2>&1
[Elapsed time: 10.579 seconds]
modified2011-12-27 16:48:46
created2008-06-29 13:52:01
id99764

fieldvalue
prime_id85253
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 27*2^1253870-1 2>&1
Starting Lucas Lehmer Riesel prime test of 27*2^1253870-1
Using Irrational Base DWT : Mersenne fftlen = 65536, Used fftlen = 81920
V1 = 3 ; Computing U0...
V1 = 3 ; Computing U0...done.
Starting Lucas-Lehmer loop...

27*2^1253870-1 is prime! Time : 4476.697 sec.
[Elapsed time: 74.62 minutes]
modified2008-07-08 09:36:29
created2008-06-29 13:53:01
id99766

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.