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6 · Bern(5078)/(64424527603 · 9985070580644364287)
At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important PrimePages database: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.
This prime's information:
|Description:||6 · Bern(5078)/(64424527603 · 9985070580644364287)|
|Verification status (*):||PRP|
|Official Comment (*):||Irregular, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c63 : Ritschel, TOPS, Primo|
|Decimal Digits:||12533 (log10 is 12532.525484665)|
|Rank (*):||77997 (digit rank is 1)|
|Entrance Rank (*):||60998|
|Currently on list? (*):||short|
|Submitted:||5/5/2013 19:15:53 UTC|
|Last modified:||3/11/2023 15:54:10 UTC|
|Score (*):||33.1395 (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.
- Irregular Primes (archivable *)
- Prime on list: yes, rank 8
Subcategory: "Irregular Primes"
(archival tag id 217127, tag last modified 2023-03-11 16:02:31)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 207
(archival tag id 217128, tag last modified 2023-03-11 16:02:30)
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 114055 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 22.214.171.124BIT.20110215.x86_Dev [GWNUM 26.5] 3353394633343370....5555815853360339 1/1 mro=0 trial factoring to 3666866 3353394633...5853360339 has no small factor. [Elapsed time: 18.038 seconds] modified 2020-07-07 22:30:19 created 2013-05-05 19:18:19 id 158480
field value prime_id 114055 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 126.96.36.199BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3353394633...5853360339 [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 0.06% (0.25% proof) 3353394633...5853360339 is Fermat and Lucas PRP! (57.6729s+0.0043s) [Elapsed time: 58.00 seconds] modified 2020-07-07 22:30:19 created 2013-05-05 19:23:19 id 158482
Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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