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U(21412, 1, 4620) - U(21412, 1, 4619)
|Description:||U(21412, 1, 4620) - U(21412, 1, 4619)|
|Verification status (*):||PRP|
|Official Comment (*):||Lehmer number|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x25 : Water, Broadhurst, Primo, OpenPFGW|
|Decimal Digits:||20004 (log10 is 20003.305742473)|
|Rank (*):||66593 (digit rank is 2)|
|Entrance Rank (*):||61578|
|Currently on list? (*):||short|
|Submitted:||6/8/2016 19:49:28 CDT|
|Last modified:||6/8/2016 20:20:37 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||34.5868 (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 tags.
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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 121751 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes Command: /home/caldwell/client/pfgw/pfgw64 -tc -q"lucasU(21412,1,4620)-lucasU(21412,1,4619)" 2>&1 PFGW Version 18.104.22.168BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing lucasU(21412,1,4620)-lucasU(21412,1,4619) [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 37 Running N-1 test using base 59 Running N+1 test using discriminant 67, base 15+sqrt(67) Calling N-1 BLS with factored part 1.16% and helper 0.53% (4.00% proof) lucasU(21412,1,4620)-lucasU(21412,1,4619) is Fermat and Lucas PRP! (42.7255s+0.0028s) [Elapsed time: 43.00 seconds] modified 2020-07-07 17:30:16 created 2016-06-08 19:51:01 id 167389
Query times: 0.0004 seconds to select prime, 0.0004 seconds to seek comments.
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