1288726869465789 · 234567 - 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:1288726869465789 · 234567 - 1
Verification status (*):Proven
Official Comment:Triplet (2)
Proof-code(s): (*):p296 : Kaiser1, Srsieve, LLR, OpenPFGW
Decimal Digits:10421   (log10 is 10420.814021)
Rank (*):72593 (digit rank is 2)
Entrance Rank (*):66586
Currently on list? (*):short
Submitted:4/16/2014 14:46:56 CDT
Last modified:4/16/2014 15:52:10 CDT
Database id:117634
Status Flags:TrialDiv
Score (*):32.5678 (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.
Triplet (archivable class *)
Prime on list: yes, rank 3
Subcategory: "Triplet (2)"
(archival tag id 217671, tag last modified 2015-08-31 10:50:38)

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_id117634
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 1288726869465789*2^34567-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1288726869465789*2^34567-1
Using General Mode (Rational Base) : Mersenne fftlen = 1792, Used fftlen = 3584
V1 = 5 ; Computing U0...
V1 = 5 ; Computing U0...done.
Starting Lucas-Lehmer loop...

1288726869465789*2^34567-1 is prime! Time : 41.062 sec.
[Elapsed time: 41.00 seconds]
modified2014-06-21 13:36:26
created2014-04-16 15:26:19
id163175

Query times: 0.0004 seconds to select prime, 0.0008 seconds to seek comments.