341112524288 + 1

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:341112524288 + 1
Verification status (*):External
Official Comment (*):Generalized Fermat
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L3184 : Hayslette, GeneferCUDA, AthGFNSieve, PrimeGrid, LLR
Decimal Digits:2900832   (log10 is 2900831.5011555)
Rank (*):76 (digit rank is 1)
Entrance Rank (*):11
Currently on list? (*):short
Submitted:6/25/2012 14:54:49 CDT
Last modified:6/25/2012 15:05:11 CDT
Database id:107930
Status Flags:none
Score (*):49.8982 (normalized score 233.6268)

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.
Generalized Fermat (archivable *)
Prime on list: yes, rank 15
Subcategory: "Generalized Fermat"
(archival tag id 214387, tag last modified 2020-06-04 13:20:26)

User comments about this prime (disclaimer):

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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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 1 341112 524288 1 2>&1 [Elapsed time: 8.894 seconds]
modified2020-07-07 17:30:25
created2012-06-25 15:05:02

Query times: 0.0006 seconds to select prime, 0.001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.