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(210501 + 1)/3
|Description:||(210501 + 1)/3|
|Verification status (*):||PRP|
|Official Comment (*):||Generalized Lucas number, Wagstaff|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||M : Morain|
|Decimal Digits:||3161 (log10 is 3160.63886321275)|
|Rank (*):||89993 (digit rank is 2)|
|Entrance Rank (*):||2677|
|Currently on list? (*):||short|
|Last modified:||11/26/2005 17:52:07 CDT|
|Score (*):||28.8629 (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.
- Generalized Lucas Number (archivable *)
- Prime on list: no, rank 105
Subcategory: "Generalized Lucas Number"
(archival tag id 181338, tag last modified 2020-05-28 13:20:28)
- Wagstaff (archivable *)
- Prime on list: yes, rank 7
(archival tag id 181339, tag last modified 2014-09-17 12:50:33)
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 29287 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Running N-1 test using base 2 Primality testing (2^10501+1)/3 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N-1 test using base 7 Running N+1 test using discriminant 17, base 1+sqrt(17) Calling N-1 BLS with factored part 6.04% and helper 0.02% (18.15% proof) (2^10501+1)/3 is Fermat and Lucas PRP! (196.610000 seconds) modified 2003-03-25 11:22:57 created 2003-01-04 16:56:25 id 61943
Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
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