50187 · 15250187 + 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: | 50187 · 15250187 + 1 |
|---|---|
| Verification status (*): | Proven |
| Official Comment (*): | Generalized Cullen |
| Proof-code(s): (*): | g392 : HermleGC, MultiSieve, OpenPFGW, Proth.exe |
| Decimal Digits: | 109505 (log10 is 109504.88473942) |
| Rank (*): | 48885 (digit rank is 1) |
| Entrance Rank (*): | 1312 |
| Currently on list? (*): | no |
| Submitted: | 7/2/2006 18:03:23 UTC |
| Last modified: | 3/11/2023 15:54:10 UTC |
| Database id: | 78059 |
| Status Flags: | none |
| Score (*): | 39.834 (normalized score 0.0037) |
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.
- Generalized Cullen (archivable *)
- Prime on list: no, rank 95
Subcategory: "Generalized Cullen"
(archival tag id 187589, tag last modified 2024-08-17 05:37:11)
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 78059 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -t -q"50187*152^50187+1" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Running N-1 test using base 5 Primality testing 50187*152^50187+1 [N-1, Brillhart-Lehmer-Selfridge] N-1: 50187*152^50187+1 277500/363769Calling Brillhart-Lehmer-Selfridge with factored part 58.61% 50187*152^50187+1 is prime! (5009.5424s+2.2778s) [Elapsed time: 5012 seconds] modified 2020-07-07 22:30:42 created 2006-07-02 19:29:51 id 84615
field value prime_id 78059 person_id 9 machine GenToo P3 400MHz what trial_divided notes Command: /home/caldwell/client/TrialDiv/TrialDiv -q 50187 152 50187 1 2>&1 [Elapsed time: 8.029 seconds] modified 2020-07-07 22:30:42 created 2006-07-07 09:46:06 id 84800
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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