|Verification status (*):||PRP|
|Official Comment (*):||Fibonacci primitive part, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c77 : Batalov, Primo|
|Decimal Digits:||13954 (log10 is 13953.827261573)|
|Rank (*):||73166 (digit rank is 1)|
|Entrance Rank (*):||69245|
|Currently on list? (*):||short|
|Submitted:||7/22/2018 00:13:38 CDT|
|Last modified:||7/22/2018 00:50:22 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||33.4722 (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.
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 97
(archival tag id 219855, tag last modified 2021-09-18 09:37:41)
- Fibonacci Primitive Part (archivable *)
- Prime on list: yes, rank 3
Subcategory: "Fibonacci Primitive Part"
(archival tag id 219856, tag last modified 2019-03-30 15:20:27)
User comments about this prime (disclaimer):
User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.
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 125494 person_id 9 machine Using: Xeon 4c+4c 3.5GHz what prp notes PFGW Version 22.214.171.124BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 6718333715...0509184601 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N-1 test using base 29 Running N-1 test using base 83 Running N+1 test using discriminant 107, base 7+sqrt(107) Calling N-1 BLS with factored part 0.65% and helper 0.02% (1.98% proof) 6718333715...0509184601 is Fermat and Lucas PRP! (21.1793s+0.0015s) [Elapsed time: 21.00 seconds] modified 2020-07-07 17:30:14 created 2018-07-22 00:21:02 id 171168
Query times: 0.0004 seconds to select prime, 0.0011 seconds to seek comments.
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