7457 · 259659 + 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:7457 · 259659 + 1
Verification status (*):Proven
Official Comment:Cullen
Proof-code(s): (*):Y : Young
Decimal Digits:17964   (log10 is 17963.0210754606)
Rank (*):65623 (digit rank is 1)
Entrance Rank (*):62
Currently on list? (*):short
Submitted:5/1997
Last modified:5/1997
Database id:10752
Status Flags:none
Score (*):34.2539 (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.
Cullen primes (archivable *)
Prime on list: yes, rank 8
Subcategory: "Cullen primes"
(archival tag id 192357, tag last modified 2009-08-04 21:58:38)

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_id10752
person_id9
machineLinux PII 200
whatprime
notesPFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 3 Primality testing 7457*2^59659+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.98% 7457*2^59659+1 is prime! (400.020000 seconds)
modified2003-03-25 11:23:27
created2002-12-29 06:45:37
id56958

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.