|Verification status (*):||PRP|
|Official Comment (*):||Lucas primitive part|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||x39 : Broadhurst, Dubner, Keller, OpenPFGW, Primo|
|Decimal Digits:||28552 (log10 is 28551.891410952)|
|Rank (*):||65166 (digit rank is 1)|
|Entrance Rank (*):||29752|
|Currently on list? (*):||short|
|Submitted:||5/27/2009 20:19:25 CDT|
|Last modified:||5/27/2009 20:50:35 CDT|
|Score (*):||35.6868 (normalized score 0.0001)|
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 88535 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 7787731182...3792636801 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 7 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(12288,21) to FFT(12288,20) Reduced from FFT(12288,20) to FFT(12288,19) Reduced from FFT(12288,19) to FFT(12288,18) Reduced from FFT(12288,18) to FFT(12288,17) Reduced from FFT(12288,17) to FFT(12288,16) 189704 bit request FFT size=(12288,16) Running N+1 test using discriminant 13, base 6+sqrt(13) Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(12288,21) to FFT(12288,20) Reduced from FFT(12288,20) to FFT(12288,19) Reduced from FFT(12288,19) to FFT(12288,18) Reduced from FFT(12288,18) to FFT(12288,17) Reduced from FFT(12288,17) to FFT(12288,16) 189712 bit request FFT size=(12288,16) Calling N-1 BLS with factored part 1.15% and helper 0.00% (3.44% proof) 7787731182...3792636801 is Fermat and Lucas PRP! (403.3600s+0.0300s) [Elapsed time: 6.73 minutes] modified 2020-07-07 17:30:38 created 2009-05-27 20:23:03 id 106435
field value prime_id 88535 person_id 9 machine Ditto P4 P4 what trial_divided notes PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] 7787731182...2948505624.........7793071219040623 1/1 trial factoring to 8900600 7787731182...3792636801 has no small factor. [Elapsed time: 91.038 seconds] modified 2020-07-07 17:30:38 created 2009-05-27 20:35:03 id 106437
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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