primU(44113)

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.

Description:primU(44113)
Verification status (*):PRP
Official Comment (*):Fibonacci primitive part, ECPP
Proof-code(s): (*):c8 : Broadhurst, Water, Primo
Decimal Digits:8916   (log10 is 8915.553230426)
Rank (*):78843 (digit rank is 2)
Entrance Rank (*):68039
Currently on list? (*):short
Submitted:4/19/2014 14:48:30 CDT
Last modified:4/19/2014 15:22:28 CDT
Database id:117658
Status Flags:Verify, TrialDiv
Score (*):32.0842 (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 249
Subcategory: "ECPP"
(archival tag id 217674, tag last modified 2021-09-18 09:37:41)
Fibonacci Primitive Part (archivable *)
Prime on list: yes, rank 11
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217675, 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.
fieldvalue
prime_id117658
person_id9
machineDitto P4 P4
whatprp
notesPFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3574624486...4561033401 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 29 Running N+1 test using discriminant 37, base 12+sqrt(37) Calling N-1 BLS with factored part 0.56% and helper 0.00% (1.69% proof) 3574624486...4561033401 is Fermat and Lucas PRP! (66.0702s+0.0068s) [Elapsed time: 66.00 seconds]
modified2020-07-07 17:30:17
created2014-04-19 15:09:50
id163200

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
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