2657# + 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:2657# + 1
Verification status (*):Proven
Official Comment (*):Primorial
Proof-code(s): (*):BC : Penk, Crandall, Buhler
Decimal Digits:1115   (log10 is 1114.89345513676)
Rank (*):116002 (digit rank is 2)
Entrance Rank (*):55
Currently on list? (*):no
Last modified:1981
Database id:51704
Status Flags:none
Score (*):25.6122 (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.
Primorial (archivable *)
Prime on list: no, rank 21
Subcategory: "Primorial"
(archival tag id 177349, tag last modified 2012-03-01 18:50:06)

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.
machineLinux PII 200
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing 2657#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.54% 2657#+1 is prime! (11.920000 seconds)
modified2003-03-25 11:23:45
created2002-12-27 16:04:39

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
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