primV(38513, - 1, 11502)
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This prime's information:
|Description:||primV(38513, - 1, 11502)|
|Verification status (*):||Proven|
|Official Comment (*):||Generalized Lucas primitive part|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x23 : Broadhurst, Water, Renze, OpenPFGW, Primo|
|Decimal Digits:||34668 (log10 is 34667.191565536)|
|Rank (*):||63194 (digit rank is 1)|
|Entrance Rank (*):||16517|
|Currently on list? (*):||short|
|Submitted:||11/13/2006 10:01:18 CDT|
|Last modified:||11/15/2006 08:45:52 CDT|
|Score (*):||36.2864 (normalized score 0.0002)|
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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 78834 person_id 9 machine RedHat P4 P4 what trial_divided notes Command: /home/caldwell/client/pfgw -o -f -q"primV(38513,-1,11502)" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] trial factoring to 10963339 primV(38513,-1,11502) has no small factor. [Elapsed time: 31.312 seconds] modified 2020-07-07 17:30:42 created 2006-11-13 10:22:02 id 86766
field value prime_id 78834 person_id 9 machine WinXP Pent_M 1.7GHz Laptop what prime notes Command: pfgw.exe -n -tc -hhelp.txt -q"primV(38513,-1,11502)" 2>&1 PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Reading factors from helper file help.txt Running N-1 test using base 47 Primality testing primV(38513,-1,11502) [N-1/N+1, Brillhart-Lehmer-Selfridge] N-Calling N-1 BLS with factored part 34.46% and helper 0.01% (103.40% proof) primV(38513,-1,11502) is prime! (3819.0341s+0.6583s) 1Running N+1 test using discriminant 67, base 18+sqrt(67) [Elapsed time: 3830 seconds] modified 2020-07-07 17:30:42 created 2006-11-15 07:41:49 id 86804