E(11848)/7910215

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:E(11848)/7910215
Verification status (*):PRP
Official Comment (*):Euler irregular, ECPP
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):E8 : Broadhurst, Underwood, CM
Decimal Digits:40792   (log10 is 40791.039811939)
Rank (*):64614 (digit rank is 1)
Entrance Rank (*):60341
Currently on list? (*):yes
Submitted:8/26/2022 06:52:51 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:134337
Status Flags:Verify
Score (*):36.7887 (normalized score 0.0002)

Archival tags:

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 1
Subcategory: "Euler Irregular primes"
(archival tag id 227291, tag last modified 2023-03-11 15:53:59)
Elliptic Curve Primality Proof (archivable *)
Prime on list: yes, rank 13
Subcategory: "ECPP"
(archival tag id 227292, tag last modified 2024-10-27 10:37:10)

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.

Paul Underwood writes (26 Aug 2022):  (report abuse)
Certificate available at http://factordb.com/index.php?id=1100000003855631831

Verification data:

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.
fieldvalue
prime_id134337
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatrequested
notespfgw
modified2022-08-26 07:04:32
created2022-08-26 07:04:32
id180114

fieldvalue
prime_id134337
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatrequested
notespfgw
modified2022-08-26 07:04:01
created2022-08-26 07:04:01
id180113

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
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