|
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:
field (help) | value |
Description: | 492590931 · 280000 - 1631979959 · 225001 - 1 |
Verification status (*): | PRP |
Official Comment: | Arithmetic progression (4,d=164196977*2^80000-1631979959*2^25000) |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | p199 : Broadhurst, NewPGen, OpenPFGW |
Decimal Digits: | 24092 (log10 is 24091.09213953) |
Rank (*): | 63009 (digit rank is 4) |
Entrance Rank (*): | 38518 |
Currently on list? (*): | short |
Submitted: | 10/24/2010 16:44:10 CDT |
Last modified: | 10/24/2010 17:20:22 CDT |
Database id: | 95651 |
Status Flags: | Verify |
Score (*): | 35.1618 (normalized score 0.0001) |
|
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.
- Arithmetic Progressions of Primes (archivable class *)
- Prime on list: yes, rank 1, weight 46.4562230293586
Subcategory: "Arithmetic progression (4,d=*)"
(archival tag id 210865, tag last modified 2016-03-15 13:57:14)
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 | 95651 |
person_id | 9 |
machine | RedHat P4 P4 |
what | trial_divided |
notes | Command: /home/caldwell/client/pfgw -o -f -q"492590931*2^80000-1631979959*2^25001-1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 7414792 492590931*2^80000-1631979959*2^25001-1 has no small factor. [Elapsed time: 14.354 seconds]
|
modified | 2011-12-27 16:48:36 |
created | 2010-10-24 16:48:02 |
id | 120691 |
|
field | value |
prime_id | 95651 |
person_id | 9 |
machine | RedHat Virtual STEM Server |
what | prp |
notes | Command: /home/caldwell/client/pfgw -tp -q"492590931*2^80000-1631979959*2^25001-1" 2>&1 PFGW Version 3.3.4.20100405.x86_Stable [GWNUM 25.14] Primality testing 492590931*2^80000-1631979959*2^25001-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 31.24% 492590931*2^80000-1631979959*2^25001-1 is Lucas PRP! (117.5067s+0.0005s) [Elapsed time: 2.12 minutes]
|
modified | 2010-11-28 11:14:56 |
created | 2010-10-24 16:48:40 |
id | 120695 |
|
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
|