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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 PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

Verification status (*):PRP
Official Comment (*):Lucas number
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):p54 : Water, Broadhurst, OpenPFGW
Decimal Digits:10694   (log10 is 10693.6885639512)
Rank (*):75402 (digit rank is 1)
Entrance Rank (*):12081
Currently on list? (*):short
Submitted:4/26/2001 12:59:06 CDT
Last modified:4/26/2001 12:59:06 CDT
Database id:17060
Status Flags:Verify
Score (*):32.6479 (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.
Lucas Number (archivable *)
Prime on list: yes, rank 7
Subcategory: "Lucas Number"
(archival tag id 194185, tag last modified 2015-09-23 10:50:29)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

David Broadhurst writes (11 Sep 2014):  (report abuse)

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') Primality testing 4881619792...1689057678 Running N-1 test using base 11 5462215855...7431182401 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 17, base 6+sqrt(17) Running N+1 test using discriminant 17, base 10+sqrt(17) Calling N-1 BLS with factored part 1.26% and helper 0.93% (4.71% proof) V(51169) is Fermat and Lucas PRP! (-1537.347296 seconds)
modified2003-03-25 11:22:40
created2003-01-09 10:04:25

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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