U(15631, 1, 5040) - U(15631, 1, 5039)
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: | U(15631, 1, 5040) - U(15631, 1, 5039) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Lehmer number |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | x25 : Broadhurst, Water, OpenPFGW, Primo |
| Decimal Digits: | 21134 (log10 is 21133.499262449) |
| Rank (*): | 72907 (digit rank is 2) |
| Entrance Rank (*): | 10499 |
| Currently on list? (*): | short |
| Submitted: | 4/23/2003 12:08:03 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 64489 |
| Status Flags: | Verify |
| Score (*): | 34.7568 (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.
- Lehmer number (archivable *)
- Prime on list: yes, rank 13
Subcategory: "Lehmer number"
(archival tag id 192134, 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 64489 person_id 9 machine Linux P4 2.8GHz what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality Running N-1 test using base 59 6413180756...7639097601 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 61 Running N+1 test using discriminant 83, base 12+sqrt(83) Calling N-1 BLS with factored part 1.25% and helper 0.20% (3.96% proof) 3156911801...7639097601 is Fermat and Lucas PRP! (562.690000 seconds) modified 2020-07-07 22:30:47 created 2003-04-24 12:13:29 id 69359
Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
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