56785 · 2227141 - 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.

Description:56785 · 2227141 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Proof-code(s): (*):g23 : Ballinger, Proth.exe
Decimal Digits:68382   (log10 is 68381.008478742)
Rank (*):50687 (digit rank is 3)
Entrance Rank (*):59
Currently on list? (*):no
Submitted:7/28/2000 16:53:35 CDT
Last modified:7/28/2000 16:53:35 CDT
Database id:356
Status Flags:none
Score (*):38.3827 (normalized score 0.0023)

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.
Generalized Woodall (archivable *)
Prime on list: no, rank 97
Subcategory: "Generalized Woodall"
(archival tag id 188681, tag last modified 2019-11-26 12:20:12)

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_id356
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 56785*2^227141-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 56785*2^227141-1 is prime! (1923.357000 seconds) PFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 11:24:13
created2002-12-24 14:05:09
id49652

Query times: 0.0001 seconds to select prime, 0.0002 seconds to seek comments.
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