|Verification status (*):||PRP|
|Official Comment (*):||Fibonacci number, cyclotomy|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||p54 : Broadhurst, Water, OpenPFGW|
|Decimal Digits:||6428 (log10 is 6427.4833661664)|
|Rank (*):||83463 (digit rank is 3)|
|Entrance Rank (*):||18753|
|Currently on list? (*):||short|
|Submitted:||7/23/2001 22:15:40 CDT|
|Last modified:||7/23/2001 22:15:40 CDT|
|Score (*):||31.0691 (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.
- Fibonacci Number (archivable *)
- Prime on list: yes, rank 8
Subcategory: "Fibonacci Number"
(archival tag id 194818, tag last modified 2021-09-18 09:37:41)
- Cyclotomy Proof (tolerated *)
- Prime on list: no, rank 79
Subcategory: "Cyclotomy Proof"
(archival tag id 194817, tag last modified 2019-06-27 21:50:21)
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 22126 person_id 9 machine Linux PII 200 what prp notes PFGW Version 20020311.x86_Dev (Alpha software, 'caveat utilitor') Primality testing 3043449966...8033019655 Running N-1 test using base 3 7848363137...0492975737 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N+1 BLS with factored part 0.84% and helper 0.46% (2.98% proof) U(30757) is Fermat and Lucas PRP! (573.350000 seconds) modified 2003-03-25 11:22:44 created 2003-01-08 00:38:09 id 64462
Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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