14807701821 · 2333333 - 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:14807701821 · 2333333 - 1
Verification status (*):Proven
Official Comment:Arithmetic progression (2,d=168667635*2^333334) [g348]
Proof-code(s): (*):L399 : Morales, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.40203232)
Rank (*):43628 (digit rank is 1928)
Entrance Rank (*):3584
Currently on list? (*):no
Submitted:6/25/2007 23:13:56 CDT
Last modified:8/12/2007 07:15:07 CDT
Database id:81345
Status Flags:none
Score (*):39.5651 (normalized score 0.01)

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.
Arithmetic Progressions of Primes (archivable class *)
Prime on list: no, rank 25
Subcategory: "Arithmetic progression (2,d=*)"
(archival tag id 188198, tag last modified 2017-02-04 23:20:03)

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_id81345
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 14807701821 2 333333 -1 2>&1
[Elapsed time: 9.375 seconds]
modified2007-09-12 06:50:18
created2007-06-25 23:23:26
id91709

fieldvalue
prime_id81345
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 14807701821*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 14807701821*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
14807701821*2^333333-1 is prime! Time: 1255.243 sec.
[Elapsed time: 1256 seconds]
modified2007-09-12 06:50:18
created2007-06-26 03:12:45
id91773

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