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 (*):Fibonacci primitive part, ECPP
Proof-code(s): (*):c8 : Broadhurst, Water, Primo
Decimal Digits:8173   (log10 is 8172.1357390844)
Rank (*):79673 (digit rank is 2)
Entrance Rank (*):67088
Currently on list? (*):short
Submitted:10/1/2013 17:46:34 CDT
Last modified:10/1/2013 18:20:27 CDT
Database id:115750
Status Flags:Verify, TrialDiv
Score (*):31.8142 (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.
Elliptic Curve Primality Proof (archivable *)
Prime on list: no, rank 271
Subcategory: "ECPP"
(archival tag id 217257, tag last modified 2021-09-18 09:37:41)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 13
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217258, tag last modified 2019-03-30 15:20:27)

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.
machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: pfgw64.exe -tc p_115750.txt 2>&1 PFGW Version [GWNUM 27.8] Primality testing 1366907367...5314393761 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N+1 test using discriminant 29, base 4+sqrt(29) Calling N-1 BLS with factored part 0.99% and helper 0.05% (3.05% proof) 1366907367...5314393761 is Fermat and Lucas PRP! (7.4291s+0.0759s) [Elapsed time: 7 seconds]
modified2020-07-07 17:30:18
created2013-10-01 17:51:17

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.