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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: | 3756801695685 · 2666669 + 1 |
| Verification status (*): | Proven |
| Official Comment: | Twin (p+2) |
| Proof-code(s): (*): | L1921 : Winslow, TwinGen, PrimeGrid, LLR |
| Decimal Digits: | 200700 (log10 is 200699.94099758) |
| Rank (*): | 13021 (digit rank is 1) |
| Entrance Rank (*): | 5796 |
| Currently on list? (*): | short |
| Submitted: | 12/25/2011 23:50:43 CDT |
| Last modified: | 12/26/2011 00:20:43 CDT |
| Database id: | 103791 |
| Status Flags: | none |
| Score (*): | 41.699 (normalized score 0.3275) |
|
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.
- Twin Primes (archivable *)
- Prime on list: yes, rank 1
Subcategory: "Twin (p+2)"
(archival tag id 213761, tag last modified 2011-12-26 00:20:46)
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 | 103791 |
| person_id | 9 |
| machine | RedHat P4 P4 |
| what | trial_divided |
| notes | Command: /home/caldwell/client/TrialDiv/TrialDiv -q 3756801695685 2 666669 1 2>&1
[Elapsed time: 9.816 seconds]
|
| modified | 2011-12-27 16:48:25 |
| created | 2011-12-25 23:52:02 |
| id | 137171 |
|
| field | value |
|---|
| prime_id | 103791 |
| person_id | 9 |
| machine | RedHat P4 P4 |
| what | prime |
| notes | Command: /home/caldwell/client/pfgw -t -q"3756801695685*2^666669+1" 2>&1
PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5]
Primality testing 3756801695685*2^666669+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 31
Calling Brillhart-Lehmer-Selfridge with factored part 99.99%
3756801695685*2^666669+1 is prime! (1541.6745s+0.0006s)
[Elapsed time: 25.70 minutes]
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| modified | 2011-12-27 16:48:25 |
| created | 2011-12-25 23:53:01 |
| id | 137173 |
|
Query times: 0.0006 seconds to select prime, 0.0004 seconds to seek comments.
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