32469 · 232469 + 1
(Another of the Prime Pages' resources)
The Largest Known Primes Icon
  View this page in:   language help
GIMPS has discovered a new largest known prime number: 282589933-1 (24,862,048 digits)

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:32469 · 232469 + 1
Verification status (*):Proven
Official Comment:Cullen
Proof-code(s): (*):MM : Morii
Decimal Digits:9779   (log10 is 9778.65439812697)
Rank (*):75659 (digit rank is 1)
Entrance Rank (*):235
Currently on list? (*):short
Last modified:5/1/1997
Database id:17850
Status Flags:none
Score (*):32.3707 (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 9
Subcategory: "Cullen primes"
(archival tag id 194337, 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.
machineLinux PII 200
notesPFGW Version 1.1 for Pentium and compatibles Running N-1 test using base 13 Primality testing 32469*2^32469+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.96% 32469*2^32469+1 is prime! (137.590000 seconds)
modified2003-03-25 11:24:58
created2002-12-13 09:06:16

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