250431285 · 23557 - 1
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: | 250431285 · 23557 - 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Sophie Germain (p), twin (p) |
| Proof-code(s): (*): | g187 : Broadhurst, Proth.exe, OpenPFGW |
| Decimal Digits: | 1080 (log10 is 1079.1623831587) |
| Rank (*): | 124282 (digit rank is 34) |
| Entrance Rank (*): | 41530 |
| Currently on list? (*): | no |
| Submitted: | 5/2/2000 23:41:19 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 53392 |
| Status Flags: | none |
| Score (*): | 25.5103 (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.
- Sophie Germain (p) (archivable *)
- Prime on list: no, rank 184
Subcategory: "Sophie Germain (p)"
(archival tag id 177554, tag last modified 2023-11-19 12:37:21)- Twin Primes (archivable *)
- Prime on list: no, rank 264
Subcategory: "Twin (p)"
(archival tag id 177553, tag last modified 2024-04-26 18:37:21)
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 53392 person_id 9 machine Linux PII 200 what prime notes PFGW Version 1.1 for Pentium and compatibles Running N+1 test using discriminant 7, base 1+sqrt(7) Primality testing 250431285*2^3557-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.25% 250431285*2^3557-1 is prime! (3.100000 seconds) modified 2003-03-25 17:26:43 created 2002-12-06 18:58:59 id 23360
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.