6 · Bern(2974)/19622040971147542470479091157507
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.
|Description:||6 · Bern(2974)/19622040971147542470479091157507|
|Verification status (*):||PRP|
|Official Comment (*):||Irregular, ECPP|
|Proof-code(s): (*):||c8 : Broadhurst, Water, Primo|
|Decimal Digits:||6637 (log10 is 6636.259519465)|
|Rank (*):||84082 (digit rank is 1)|
|Entrance Rank (*):||67251|
|Currently on list? (*):||short|
|Submitted:||2/27/2013 15:47:23 CDT|
|Last modified:||2/27/2013 16:20:25 CDT|
|Score (*):||31.1683 (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 13
Subcategory: "Irregular Primes"
(archival tag id 215138, tag last modified 2021-05-01 12:20:47)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 358
(archival tag id 215139, tag last modified 2022-05-17 18:37:30)
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 111375 person_id 9 machine RedHat P4 P4 what trial_divided notes PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] 1817688522724761....6852817466862541 1/1 mro=0 trial factoring to 1843575 1817688522...7466862541 has no small factor. [Elapsed time: 5.031 seconds] modified 2020-07-07 17:30:22 created 2013-02-27 15:48:06 id 153069
field value prime_id 111375 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 22.214.171.124BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 1817688522...7466862541 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 7, base 1+sqrt(7) Calling N-1 BLS with factored part 0.11% and helper 0.09% (0.43% proof) 1817688522...7466862541 is Fermat and Lucas PRP! (15.4167s+0.0019s) [Elapsed time: 15.00 seconds] modified 2020-07-07 17:30:22 created 2013-02-27 15:53:06 id 153071