7755 · 27755 - 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:7755 · 27755 - 1
Verification status (*):Proven
Official Comment:Woodall
Proof-code(s): (*):K : Keller
Decimal Digits:2339   (log10 is 2338.37719817632)
Rank (*):88854 (digit rank is 13)
Entrance Rank (*):47
Currently on list? (*):short
Submitted:1984
Last modified:1984
Database id:32527
Status Flags:none
Score (*):27.9244 (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.
Woodall Primes (archivable *)
Prime on list: yes, rank 17
Subcategory: "Woodall Primes"
(archival tag id 175807, tag last modified 2009-01-24 04:20:27)

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_id32527
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 7755*2^7755-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.85% 7755*2^7755-1 is prime! (1.671000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 17, base 1+sqrt(17)
modified2003-03-25 11:25:58
created2002-12-08 21:07:20
id30873

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