U(67, - 1, 26161)
|Description:||U(67, - 1, 26161)|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized Lucas number|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x45 : Batalov, OpenPFGW, Primo, Unknown|
|Decimal Digits:||47773 (log10 is 47772.64678188)|
|Rank (*):||57249 (digit rank is 1)|
|Entrance Rank (*):||54623|
|Currently on list? (*):||short|
|Submitted:||10/3/2019 13:13:37 CDT|
|Last modified:||10/3/2019 14:20:20 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||37.2764 (normalized score 0.0007)|
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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 129987 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc -q"lucasU(67,-1,26161)" 2>&1 PFGW Version 220.127.116.11BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing lucasU(67,-1,26161) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 19 Running N-1 test using base 23 Running N-1 test using base 37 Running N+1 test using discriminant 47, base 1+sqrt(47) Calling N-1 BLS with factored part 0.36% and helper 0.03% (1.12% proof) lucasU(67,-1,26161) is Fermat and Lucas PRP! (253.1947s+0.0041s) [Elapsed time: 4.22 minutes] modified 2020-07-07 17:30:11 created 2019-10-03 13:21:02 id 175672
Query times: 0.0004 seconds to select prime, 0.0012 seconds to seek comments.
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