primU(28667)
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(28667) |
|---|---|
| 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: | 5914 (log10 is 5913.6547658753) |
| Rank (*): | 89284 (digit rank is 1) |
| Entrance Rank (*): | 68540 |
| Currently on list? (*): | no |
| Submitted: | 3/9/2013 12:50:04 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 111527 |
| Status Flags: | Verify |
| Score (*): | 30.8104 (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 507
Subcategory: "ECPP"
(archival tag id 215202, tag last modified 2024-04-24 05:37:26)- Fibonacci Primitive Part (archivable *)
- Prime on list: no, rank 25
Subcategory: "Fibonacci Primitive Part"
(archival tag id 215203, tag last modified 2023-03-11 15:53:59)
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 111527 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 4516124180945938....2417782679115201 1/1 mro=0 trial factoring to 1626930 4516124180...2679115201 has no small factor. [Elapsed time: 4.085 seconds] modified 2020-07-07 22:30:22 created 2013-03-09 12:52:01 id 153379
field value prime_id 111527 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4516124180...2679115201 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N-1 test using base 37 Running N-1 test using base 47 Running N+1 test using discriminant 59, base 14+sqrt(59) Calling N-1 BLS with factored part 1.34% and helper 0.01% (4.04% proof) 4516124180...2679115201 is Fermat and Lucas PRP! (17.0567s+0.0189s) [Elapsed time: 17.00 seconds] modified 2020-07-07 22:30:22 created 2013-03-09 12:53:01 id 153381
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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