primU(48965)
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(48965) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Fibonacci primitive part, ECPP |
| Proof-code(s): (*): | c8 : Broadhurst, Water, Primo |
| Decimal Digits: | 7012 (log10 is 7011.8168399834) |
| Rank (*): | 87616 (digit rank is 1) |
| Entrance Rank (*): | 67554 |
| Currently on list? (*): | short |
| Submitted: | 4/30/2013 21:36:40 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 114022 |
| Status Flags: | Verify |
| Score (*): | 31.3391 (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 448
Subcategory: "ECPP"
(archival tag id 217113, tag last modified 2024-04-13 23:37:20)- Fibonacci Primitive Part (archivable *)
- Prime on list: yes, rank 19
Subcategory: "Fibonacci Primitive Part"
(archival tag id 217114, tag last modified 2023-03-11 15:53:59)
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 114022 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 6559035528...6762662001 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N-1 test using base 37 Running N+1 test using discriminant 43, base 3+sqrt(43) Calling N-1 BLS with factored part 1.01% and helper 0.09% (3.13% proof) 6559035528...6762662001 is Fermat and Lucas PRP! (24.6109s+0.0021s) [Elapsed time: 25.00 seconds] modified 2020-07-07 22:30:19 created 2013-04-30 21:38:51 id 158408
field value prime_id 114022 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] 6559035528271063....3382426762662001 1/1 mro=0 trial factoring to 1956830 6559035528...6762662001 has no small factor. [Elapsed time: 5.425 seconds] modified 2020-07-07 22:30:19 created 2013-04-30 21:48:03 id 158413
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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