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Our university will have a core network upgrade on Saturday, June 1, beginning at 6 AM CDT (11 AM UTC/GMC).
The outage should last less than four hours. Chris Caldwell (caldwell@utm.edu)
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: | 7905 · 2352281 + 1 |
| Verification status (*): | Proven |
| Official Comment: | Divides Fermat F(352279) |
| Proof-code(s): (*): | L2073 : Boerner, PSieve, Srsieve, PrimeGrid, LLR |
| Decimal Digits: | 106052 (log10 is 106051.04580438) |
| Rank (*): | 28676 (digit rank is 1) |
| Entrance Rank (*): | 24500 |
| Currently on list? (*): | no |
| Submitted: | 5/31/2012 20:38:48 CDT |
| Last modified: | 5/31/2012 21:20:23 CDT |
| Database id: | 107379 |
| Status Flags: | none |
| Score (*): | 39.7352 (normalized score 0.0459) |
|
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.
- Fermat Divisors (archivable *)
- Prime on list: no, rank 21, weight 48.7105322602698
Subcategory: "Divides Fermat"
(archival tag id 214348, tag last modified 2013-05-14 17:50:05)
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 | 107379 |
| person_id | 9 |
| machine | RedHat P4 P4 |
| what | trial_divided |
| notes | Command: /home/caldwell/client/TrialDiv/TrialDiv -q 7905 2 352281 1 2>&1
[Elapsed time: 8.973 seconds]
|
| modified | 2012-07-16 11:32:59 |
| created | 2012-05-31 20:48:01 |
| id | 144346 |
|
| field | value |
|---|
| prime_id | 107379 |
| person_id | 9 |
| machine | RedHat P4 P4 |
| what | prime |
| notes | Command: /home/caldwell/client/pfgw -t -q"7905*2^352281+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 7905*2^352281+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%
7905*2^352281+1 is prime! (297.8088s+0.0004s)
[Elapsed time: 4.97 minutes]
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| modified | 2012-07-16 11:32:59 |
| created | 2012-05-31 20:53:01 |
| id | 144347 |
|
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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