U(11194, - 11195, 3361)
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This prime's information:
Description: | U(11194, - 11195, 3361) |
---|---|
Verification status (*): | Proven |
Official Comment (*): | Generalized Lucas number |
Unofficial Comments: | This prime has 1 user comment below. |
Proof-code(s): (*): | x25 : Broadhurst, Water, OpenPFGW, Primo |
Decimal Digits: | 13605 (log10 is 13604.7209302) |
Rank (*): | 78565 (digit rank is 1) |
Entrance Rank (*): | 19710 |
Currently on list? (*): | no |
Submitted: | 1/28/2004 13:36:58 UTC |
Last modified: | 3/11/2023 15:54:10 UTC |
Database id: | 68567 |
Status Flags: | none |
Score (*): | 33.3938 (normalized score 0) |
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.
- Generalized Lucas Number (archivable *)
- Prime on list: no, rank 32
Subcategory: "Generalized Lucas Number"
(archival tag id 192878, tag last modified 2023-10-24 02:37:13)
User comments about this prime (disclaimer):
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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 68567 person_id 9 machine Linux P4 2.8GHz what prime notes Command: /home/caldwell/client/pfgw -f -tc -q"lucasU(11194,-11195,3361)" -hdls11195.fac 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing lucasU(11194,-11195,3361) [N-1/N+1, Brillhart-Lehmer-Selfridge] Reading factors from helper file dls11195.fac trial factoring to 4006474 Running N-1 test using base 19 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(6144,21) to FFT(6144,20) Reduced from FFT(6144,20) to FFT(6144,19) Reduced from FFT(6144,19) to FFT(6144,18) Reduced from FFT(6144,18) to FFT(6144,17) Reduced from FFT(6144,17) to FFT(6144,16) 90396 bit request FFT size=(6144,16) Running N+1 test using discriminant 47, base 3+sqrt(47) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(6144,21) to FFT(6144,20) Reduced from FFT(6144,20) to FFT(6144,19) Reduced from FFT(6144,19) to FFT(6144,18) Reduced from FFT(6144,18) to FFT(6144,17) Reduced from FFT(6144,17) to FFT(6144,16) 90404 bit request FFT size=(6144,16) Calling N-1 BLS with factored part 40.07% and helper 0.00% (120.20% proof) lucasU(11194,-11195,3361) is prime! (168.7486s+0.0144s) modified 2020-07-07 22:30:43 created 2005-07-04 13:54:19 id 80060
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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