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:
|Description:||primV(11076, - 1, 12000)|
|Verification status (*):||Proven|
|Official Comment:||Generalized Lucas primitive part|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x25 : Water, Broadhurst, Primo, OpenPFGW|
|Decimal Digits:||25885 (log10 is 25884.0508839274)|
|Rank (*):||61875 (digit rank is 1)|
|Entrance Rank (*):||19146|
|Currently on list? (*):||short|
|Submitted:||11/25/2005 14:09:52 CDT|
|Last modified:||12/30/2005 09:17:40 CDT|
|Score (*):||35.3837 (normalized score 0.0002)|
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
- Generalized Lucas primitive part (archivable *)
- Prime on list: yes, rank 17
Subcategory: "Generalized Lucas primitive part"
(archival tag id 191678, tag last modified 2016-07-21 21:20:29)
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.
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.
|machine||WinXP Pentium M 1.7GHz|
|notes||Command: pfgw.exe -n -f -tc -hp76279.txt -q"primV(11076,-1,12000)" 2>&1|
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
Reading factors from helper file p76279.txt
trial factoring to 8009835
Running N-1 test using base 23
Primality testing primV(11076,-1,12000) [N-1/N+1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 37
Calling N-1 BLS with factored part 33.34% and helper 0.05% (100.06% proof)
primV(11076,-1,12000) is prime! (1749.1129s+0.3337s)
Running N+1 test using discriminant 43, base 18+sqrt(43)
[Elapsed time: 1748 seconds]
Query times: 0.0003 seconds to select prime, 0.0002 seconds to seek comments.