U(2, - 1, 13339)
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(2, - 1, 13339) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Generalized Lucas number, cyclotomy, NSW prime |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | x21 : Broadhurst, Walker |
| Decimal Digits: | 5106 (log10 is 5105.3933217283) |
| Rank (*): | 91881 (digit rank is 2) |
| Entrance Rank (*): | 21109 |
| Currently on list? (*): | no |
| Submitted: | 7/24/2001 03:15:40 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 24572 |
| Status Flags: | Verify |
| Score (*): | 30.3539 (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.
- Cyclotomy Proof (tolerated *)
- Prime on list: no, rank 102
Subcategory: "Cyclotomy Proof"
(archival tag id 195165, tag last modified 2023-03-11 15:53:59)- Generalized Lucas Number (archivable *)
- Prime on list: no, rank 93
Subcategory: "Generalized Lucas Number"
(archival tag id 195164, tag last modified 2023-10-24 02:37:13)- NSW prime (tolerated *)
- Prime on list: no, rank 1
Subcategory: "NSW prime"
(archival tag id 195163, 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 24572 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality testing Reading factors from helper file helper Running N-1 test using base 2 8686807159...5447672509 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 1+sqrt(11) Running N+1 test using discriminant 11, base 3+sqrt(11) Running N+1 test using discriminant 11, base 5+sqrt(11) Calling N-1 BLS with factored part 1.69% and helper 1.30% (6.39% proof) U(2,-1,13339) is Fermat and Lucas PRP! (884.180000 seconds) modified 2003-03-25 17:22:46 created 2003-01-07 20:35:00 id 64182
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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