667071 · 2667071 - 1

At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly.  This list is the most important PrimePages database: 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:

Description:667071 · 2667071 - 1
Verification status (*):Proven
Official Comment (*):Woodall
Proof-code(s): (*):g55 : Toplic, Proth.exe
Decimal Digits:200815   (log10 is 200814.20440963)
Rank (*):31663 (digit rank is 1)
Entrance Rank (*):9
Currently on list? (*):short
Submitted:9/25/2000 15:41:31 UTC
Last modified:3/11/2023 15:54:10 UTC
Database id:33
Status Flags:none
Score (*):41.7008 (normalized score 0.0358)

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 8
Subcategory: "Woodall Primes"
(archival tag id 187220, tag last modified 2023-03-11 15:53:59)

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.
machineWinXP P4 1.8GHz
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 5, base 1+sqrt(5) N+1: 667071*2^6670Primality testing 667071*2^667071-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 667071*2^667071-1 is prime! (38764.201000 seconds) 71-1 535000/667092
modified2003-03-25 17:21:55
created2003-01-18 18:07:10

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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