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.

This prime's information:

Verification status (*):PRP
Official Comment (*):Fibonacci primitive part, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:15695   (log10 is 15694.112355293)
Rank (*):74663 (digit rank is 1)
Entrance Rank (*):68296
Currently on list? (*):short
Submitted:3/30/2019 20:06:07 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:126348
Status Flags:Verify
Score (*):33.8361 (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 132
Subcategory: "ECPP"
(archival tag id 220193, tag last modified 2023-05-15 15:37:14)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 5
Subcategory: "Fibonacci Primitive Part"
(archival tag id 220194, tag last modified 2023-03-11 15:53:59)

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.

Serge Batalov writes (30 Mar 2019):  (report abuse)
Certificate is available at FactorDB

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesPFGW Version [GWNUM 27.11] Primality testing 1295255046...0249405441 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N+1 test using discriminant 67, base 15+sqrt(67) Calling N-1 BLS with factored part 1.08% and helper 0.00% (3.24% proof) 1295255046...0249405441 is Fermat and Lucas PRP! (17.4073s+0.0054s) [Elapsed time: 17.00 seconds]
modified2020-07-07 22:30:13
created2019-03-30 20:11:02

Query times: 0.0003 seconds to select prime, 0.0005 seconds to seek comments.
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