|Verification status (*):||PRP|
|Official Comment (*):||Lucas Aurifeuillian primitive part, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c8 : Water, Broadhurst, Primo|
|Decimal Digits:||7824 (log10 is 7823.6613007208)|
|Rank (*):||78885 (digit rank is 1)|
|Entrance Rank (*):||67028|
|Currently on list? (*):||short|
|Submitted:||9/4/2013 17:07:23 CDT|
|Last modified:||9/4/2013 17:20:31 CDT|
|Status Flags:||Verify, TrialDiv|
|Score (*):||31.679 (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.
- Lucas Aurifeuillian primitive part (archivable *)
- Prime on list: yes, rank 20
Subcategory: "Lucas Aurifeuillian primitive part"
(archival tag id 217221, tag last modified 2019-04-07 01:20:28)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 286
(archival tag id 217222, tag last modified 2021-01-04 08:20:12)
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 115379 person_id 9 machine Ditto P4 P4 what prp notes PFGW Version 220.127.116.11BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4584592301...0243912481 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 17 Running N+1 test using discriminant 29, base 10+sqrt(29) Calling N-1 BLS with factored part 0.38% and helper 0.00% (1.14% proof) 4584592301...0243912481 is Fermat and Lucas PRP! (22.4364s+0.0024s) [Elapsed time: 22.00 seconds] modified 2020-07-07 17:30:18 created 2013-09-04 17:08:25 id 160866
Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
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