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:7975   (log10 is 7974.8278561772)
Rank (*):81149 (digit rank is 1)
Entrance Rank (*):66612
Currently on list? (*):short
Submitted:8/14/2013 09:40:37 CDT
Last modified:8/14/2013 10:45:19 CDT
Database id:115080
Status Flags:Verify
Score (*):31.7384 (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 328
Subcategory: "ECPP"
(archival tag id 217206, tag last modified 2022-06-26 16:37:20)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 16
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217207, tag last modified 2022-06-05 01:50:18)

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.
machineDitto P4 P4
notesPFGW Version [GWNUM 26.5] 6727538274060043....6229669906411201 1/1 mro=0 trial factoring to 2249451 6727538274...9906411201 has no small factor. [Elapsed time: 119.487 seconds]
modified2020-07-07 17:30:18
created2013-08-14 09:42:32

machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: pfgw64.exe -tc p_115080.txt 2>&1 PFGW Version [GWNUM 27.8] Primality testing 6727538274...9906411201 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N-1 test using base 43 Running N+1 test using discriminant 67, base 14+sqrt(67) Calling N-1 BLS with factored part 0.53% and helper 0.00% (1.59% proof) 6727538274...9906411201 is Fermat and Lucas PRP! (7.0461s+0.0049s) [Elapsed time: 7 seconds]
modified2020-07-07 17:30:18
created2013-08-14 10:36:49

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.