primU(25493)
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:
Description: | primU(25493) |
---|---|
Verification status (*): | PRP |
Official Comment (*): | Fibonacci primitive part, ECPP |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |
Decimal Digits: | 4695 (log10 is 4694.5578548136) |
Rank (*): | 92281 (digit rank is 1) |
Entrance Rank (*): | 44318 |
Currently on list? (*): | no |
Submitted: | 8/21/2007 19:15:27 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Database id: | 82002 |
Status Flags: | Verify |
Score (*): | 30.0933 (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.
- Fibonacci Primitive Part (archivable *)
- Prime on list: no, rank 28
Subcategory: "Fibonacci Primitive Part"
(archival tag id 195337, tag last modified 2023-03-11 15:53:59)- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 571
Subcategory: "ECPP"
(archival tag id 195336, tag last modified 2024-03-24 06:37:14)
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.
field value prime_id 82002 person_id 9 machine Using: Xeon (pool) 4c+4c 3.5GHz what prp notes PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 3612890620...4868708161 [N-1/N+1, Brillhart-Lehmer-Selfridge] 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 0.95% and helper 0.01% (2.86% proof) 3612890620...4868708161 is Fermat and Lucas PRP! (1.1815s+0.0003s) [Elapsed time: 1.00 seconds] modified 2021-04-22 14:33:42 created 2021-04-22 14:21:04 id 177937
field value prime_id 82002 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] 3612890620...4520649211.........9726165853832584 1/1 trial factoring to 1266305 3612890620...4868708161 has no small factor. [Elapsed time: 3.279 seconds] modified 2020-07-07 22:30:41 created 2007-08-21 19:22:02 id 93121
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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