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:|| - E(1142)/6233437695283865492412648122\|
|Verification status (*):||PRP|
|Official Comment (*):||Euler irregular, ECPP|
|Unofficial Comments:||This prime has 1 user comment below.|
|Proof-code(s): (*):||c77 : Batalov, Primo|
|Decimal Digits:||2697 (log10 is 2696.159629936)|
|Rank (*):||93171 (digit rank is 1)|
|Entrance Rank (*):||82362|
|Currently on list? (*):||short|
|Submitted:||4/18/2015 17:08:15 CDT|
|Last modified:||4/20/2015 07:50:19 CDT|
|Blob database id:||337|
|Status Flags:||Verify, TrialDiv|
|Score (*):||28.368 (normalized score 0)|
title='from prime_blob table' id='blob'>Description: (from blob table id=337)
[This prime has a pre-calculated decimal expansion (linked blob)]
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.
- Euler Irregular primes (archivable *)
- Prime on list: yes, rank 14
Subcategory: "Euler Irregular primes"
(archival tag id 217989, tag last modified 2020-12-26 21:50:12)
- Elliptic Curve Primality Proof (archivable *)
- Prime on list: no, rank 700
(archival tag id 217990, tag last modified 2022-06-26 16:37:20)
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 119774 person_id 9 machine Using: WinXP Dual Core 2.6GHz 64-bit Laptop what prp notes Command: pfgw64.exe -tc p_119774.txt 2>&1 PFGW Version 220.127.116.11BIT.20130210.Win_Dev [GWNUM 27.8] Primality testing 1444208630...7870043529 [N-1/N+1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Running N+1 test using discriminant 11, base 11+sqrt(11) Calling N-1 BLS with factored part 0.31% and helper 0.09% (1.05% proof) 1444208630...7870043529 is Fermat and Lucas PRP! (0.7897s+0.0542s) [Elapsed time: 1 seconds] modified 2020-07-07 17:30:17 created 2015-04-20 07:31:20 id 165401