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
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):c77 : Batalov, Primo
Decimal Digits:11587   (log10 is 11586.271258654)
Rank (*):76507 (digit rank is 1)
Entrance Rank (*):67855
Currently on list? (*):short
Submitted:4/16/2015 10:57:05 CDT
Last modified:4/16/2015 11:20:30 CDT
Database id:119761
Status Flags:Verify, TrialDiv
Score (*):32.8963 (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 144
Subcategory: "ECPP"
(archival tag id 217985, tag last modified 2021-09-18 09:37:41)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 6
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217986, tag last modified 2019-03-30 15:20:27)

User comments about this prime (disclaimer):

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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 1867491585...8254552001 [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 59, base 4+sqrt(59) Calling N-1 BLS with factored part 1.14% and helper 0.00% (3.42% proof) 1867491585...8254552001 is Fermat and Lucas PRP! (11.2832s+0.0036s) [Elapsed time: 11.00 seconds]
modified2020-07-07 17:30:17
created2015-04-16 11:01:02

Query times: 0.0004 seconds to select prime, 0.0012 seconds to seek comments.
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