U(2554, - 1, 4751)
|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 (*):||71106 (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)|
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.
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 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
Query times: 0.0004 seconds to select prime, 0.0011 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.