1467763 · 21467763 - 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:1467763 · 21467763 - 1
Verification status (*):Proven
Official Comment:Woodall
Proof-code(s): (*):L381 : Mate, Siemelink, Rodenkirch, MultiSieve, LLR
Decimal Digits:441847   (log10 is 441846.85618169)
Rank (*):2676 (digit rank is 1)
Entrance Rank (*):68
Currently on list? (*):short
Submitted:6/7/2007 15:34:55 CDT
Last modified:6/7/2007 19:00:17 CDT
Database id:80955
Status Flags:none
Score (*):44.1252 (normalized score 1.4446)

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.
Woodall Primes (archivable *)
Prime on list: yes, rank 4
Subcategory: "Woodall Primes"
(archival tag id 187055, tag last modified 2009-02-12 20:01:30)

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_id80955
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1467763 2 1467763 -1 2>&1
[Elapsed time: 10.391 seconds]
modified2007-09-12 06:50:19
created2007-06-07 15:52:01
id91021

fieldvalue
prime_id80955
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 1467763*2^1467763-1 2>&1
Starting Lucas Lehmer Riesel prime test of 1467763*2^1467763-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
1467763*2^1467763-1 is prime! Time : 11235.705 sec.
[Elapsed time: 11236 seconds]
modified2007-09-12 06:50:19
created2007-06-07 15:53:01
id91022

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.