U(2554, - 1, 4751)
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|Description:||U(2554, - 1, 4751)|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized Lucas number|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||CH3 : Broadhurst, Water, OpenPFGW, Primo, CHG|
|Decimal Digits:||16185 (log10 is 16184.2995576)|
|Rank (*):||71556 (digit rank is 1)|
|Entrance Rank (*):||23654|
|Currently on list? (*):||short|
|Submitted:||10/5/2005 20:10:32 CDT|
|Last modified:||11/21/2005 09:23:56 CDT|
|Score (*):||33.9313 (normalized score 0)|
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field value prime_id 75838 person_id 9 machine Linux P4 2.8GHz what prp notes Command: /home/caldwell/client/pfgw -f -tc -q"lucasU(2554,-1,4751)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing lucasU(2554,-1,4751) [N-1/N+1, Brillhart-Lehmer-Selfridge] trial factoring to 4831574 Running N-1 test using base 31 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(7168,21) to FFT(7168,20) Reduced from FFT(7168,20) to FFT(7168,19) Reduced from FFT(7168,19) to FFT(7168,18) Reduced from FFT(7168,18) to FFT(7168,17) Reduced from FFT(7168,17) to FFT(7168,16) 107536 bit request FFT size=(7168,16) Running N+1 test using discriminant 41, base 14+sqrt(41) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(7168,21) to FFT(7168,20) Reduced from FFT(7168,20) to FFT(7168,19) Reduced from FFT(7168,19) to FFT(7168,18) Reduced from FFT(7168,18) to FFT(7168,17) Reduced from FFT(7168,17) to FFT(7168,16) 107544 bit request FFT size=(7168,16) Calling N-1 BLS with factored part 1.06% and helper 0.47% (3.66% proof) lucasU(2554,-1,4751) is Fermat and Lucas PRP! (295.3905s+0.0053s) [Elapsed time: 295 seconds] modified 2020-07-07 17:30:43 created 2005-10-05 22:23:01 id 81029