914546877 · 234772 - 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:914546877 · 234772 - 1
Verification status (*):Proven
Official Comment:Cunningham chain (p)
Proof-code(s): (*):L983 : Wu_T, LLR
Decimal Digits:10477   (log10 is 10476.376215199)
Rank (*):67536 (digit rank is 3)
Entrance Rank (*):44291
Currently on list? (*):short
Submitted:1/7/2010 13:49:22 CDT
Last modified:1/7/2010 14:20:30 CDT
Database id:91397
Status Flags:none
Score (*):32.5843 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Cunningham Chains (1st kind) (archivable class *)
Prime on list: yes, rank 2, weight 22.4934561989999
Subcategory: "Cunningham chain (p)"
(archival tag id 212431, tag last modified 2014-04-25 17:52:34)

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_id91397
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 914546877 2 34772 -1 2>&1
[Elapsed time: 8.449 seconds]
modified2011-12-27 16:48:41
created2010-01-07 13:52:19
id112171

fieldvalue
prime_id91397
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 914546877*2^34772-1 2>&1
Starting Lucas Lehmer Riesel prime test of 914546877*2^34772-1
Using Zero Padded IBDWT : Mersenne fftlen = 1792, Used fftlen = 3584
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

914546877*2^34772-1 is prime! Time : 3.322 sec.
[Elapsed time: 3.00 seconds]
modified2010-03-13 18:56:31
created2010-01-07 13:53:08
id112174

Query times: 0.0007 seconds to select prime, 0.0006 seconds to seek comments.