883 · 214131 - 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:883 · 214131 - 1
Verification status (*):Proven
Official Comment (*):Generalized Woodall
Proof-code(s): (*):g2 : Lifchitz, Proth.exe
Decimal Digits:4257   (log10 is 4256.8008294313)
Rank (*):88376 (digit rank is 1)
Entrance Rank (*):6107
Currently on list? (*):no
Submitted:7/3/1998 08:17:40 CDT
Last modified:7/3/1998 08:17:40 CDT
Database id:27021
Status Flags:none
Score (*):29.789 (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.
Generalized Woodall (archivable *)
Prime on list: no, rank 288
Subcategory: "Generalized Woodall"
(archival tag id 195528, 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_id27021
person_id9
machineWindows XP P4 1.8GHz
whatprime
notesPrimality testing 883*2^14131-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.94% 883*2^14131-1 is prime! (6.031000 seconds) PFGW Version 1.1 for Windows Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-03-25 11:25:46
created2002-12-09 01:17:54
id32432

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