|Verification status (*):||PRP|
|Official Comment (*):||Partitions, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c85 : Lasher, Broadhurst, Primo|
|Decimal Digits:||12701 (log10 is 12700.903016522)|
|Rank (*):||74376 (digit rank is 1)|
|Entrance Rank (*):||69613|
|Currently on list? (*):||short|
|Submitted:||6/6/2017 12:34:31 CDT|
|Last modified:||6/6/2017 13:20:21 CDT|
|Blob database id:||367|
|Status Flags:||Verify, TrialDiv|
|Score (*):||33.1809 (normalized score 0)|
title='from prime_blob table' id='blob'>Description: (from blob table id=367)
The number of unrestricted integer partitions of 130168020 is p(130168020).
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):
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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 123462 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes PFGW Version 220.127.116.11BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 7998646842...8062668869 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 2+sqrt(7) Calling N-1 BLS with factored part 0.06% and helper 0.03% (0.21% proof) 7998646842...8062668869 is Fermat and Lucas PRP! (10.0735s+0.0040s) [Elapsed time: 10.00 seconds] modified 2020-07-07 17:30:15 created 2017-06-06 13:11:02 id 169114
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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