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:||8916 (log10 is 8915.553230426)|
|Rank (*):||80127 (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|
|Status Flags:||Verify, TrialDiv|
|Score (*):||32.0842 (normalized score 0)|
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 284
(archival tag id 217674, tag last modified 2022-06-26 16:37:20)
- Fibonacci Primitive Part (archivable *)
- Prime on list: yes, rank 13
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217675, tag last modified 2022-06-05 01:50:18)
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.
field value prime_id 117658 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 126.96.36.199BIT.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] modified 2020-07-07 17:30:17 created 2014-04-19 15:09:50 id 163200