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:||U(9667, 1, 3960) - U(9667, 1, 3959)|
|Verification status (*):||PRP|
|Official Comment:||Lehmer number, cyclotomy|
|Proof-code(s): (*):||x25 : Water, Broadhurst, Primo, OpenPFGW|
|Decimal Digits:||15778 (log10 is 15777.7698505874)|
|Rank (*):||67383 (digit rank is 1)|
|Entrance Rank (*):||11662|
|Currently on list? (*):||short|
|Submitted:||11/15/2002 19:00:49 CDT|
|Last modified:||11/15/2002 19:00:49 CDT|
|Score (*):||33.8525 (normalized score 0)|
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
- Lehmer number (archivable *)
- Prime on list: yes, rank 19
Subcategory: "Lehmer number"
(archival tag id 192471, tag last modified 2017-06-28 15:50:31)
- Cyclotomy Proof (tolerated *)
- Prime on list: no, rank 9
Subcategory: "Cyclotomy Proof"
(archival tag id 192470, tag last modified 2009-02-12 20:01:27)
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||Linux PII 200|
|notes||PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality Running N-1 test using base 29 0302111169...3020296801 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 37, base 12+sqrt(37) Calling N-1 BLS with factored part 1.66% and helper 0.59% (5.58% proof) U(9667,1,3960)-U(9667,1,3959) is Fermat and Lucas PRP! (-419.557296 seconds) |
Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.