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.
|Verification status (*):||PRP|
|Official Comment (*):||Euler irregular, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c55 : Gramolin, Primo|
|Decimal Digits:||5412 (log10 is 5411.3600318736)|
|Rank (*):||85275 (digit rank is 1)|
|Entrance Rank (*):||58539|
|Currently on list? (*):||short|
|Submitted:||3/26/2011 06:04:24 CDT|
|Last modified:||3/26/2011 23:14:05 CDT|
|Blob database id:||251|
|Score (*):||30.5347 (normalized score 0)|
title='from prime_blob table' id='blob'>Description: (from blob table id=251)
For the primality proof certificate see: http://factordb.com/index.php?showid=1100000000293541437.
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 426
(archival tag id 213180, tag last modified 2021-12-29 16:37:45)
- Euler Irregular primes (archivable *)
- Prime on list: yes, rank 7
Subcategory: "Euler Irregular primes"
(archival tag id 213179, tag last modified 2020-12-26 21:50:12)
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 99271 person_id 9 machine RedHat P4 P4 what prp notes PFGW Version 18.104.22.168BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 2291035789...0963774693 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 2 Running N+1 test using discriminant 5, base 5+sqrt(5) Calling N+1 BLS with factored part 0.20% and helper 0.18% (0.80% proof) 2291035789...0963774693 is Fermat and Lucas PRP! (10.0634s+0.0016s) [Elapsed time: 10.00 seconds] modified 2020-07-07 17:30:31 created 2011-03-27 14:30:13 id 128075