p(51983878)
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: | p(51983878) |
|---|---|
| Verification status (*): | PRP |
| Official Comment (*): | Partitions, ECPP |
| Unofficial Comments: | This prime has 1 user comment below. |
| Proof-code(s): (*): | c4 : Broadhurst, Primo |
| Decimal Digits: | 8024 (log10 is 8023.4285414626) |
| Rank (*): | 84943 (digit rank is 1) |
| Entrance Rank (*): | 68901 |
| Currently on list? (*): | no |
| Submitted: | 4/4/2014 10:55:12 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 117550 |
| Blob database id: | 313 |
| Status Flags: | Verify |
| Score (*): | 31.7573 (normalized score 0) |
Description: (from blob table id=313)
The number of partitions of 51983878 is p(51983878).
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 393
Subcategory: "ECPP"
(archival tag id 217661, tag last modified 2024-04-24 05:37:25)- Partitions (archivable *)
- Prime on list: no, rank 63
Subcategory: "Partitions"
(archival tag id 217662, tag last modified 2023-03-11 15:53:59)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 117550 person_id 9 machine WinXP Dual Core 2.6GHz 64-bit Laptop what prp notes Command: pfgw64.exe -tc p_117550.txt 2>&1 PFGW Version 3.7.3.64BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 2682510697...3590573179 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 13, base 2+sqrt(13) Calling N+1 BLS with factored part 0.18% and helper 0.05% (0.58% proof) 2682510697...3590573179 is Fermat and Lucas PRP! (5.9140s+0.0051s) [Elapsed time: 6 seconds] modified 2020-07-07 22:30:17 created 2014-04-04 22:53:39 id 163086
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.