3249 · 2924038 + 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:3249 · 2924038 + 1
Verification status (*):Proven
Official Comment (*):Generalized Fermat
Proof-code(s): (*):L2038 : Siegert, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:278167   (log10 is 278166.66688307)
Rank (*):17950 (digit rank is 1)
Entrance Rank (*):2262
Currently on list? (*):no
Submitted:6/28/2012 06:47:17 CDT
Last modified:6/28/2012 07:50:25 CDT
Removed (*):3/13/2013 10:48:58 CDT
Database id:107980
Status Flags:none
Score (*):42.703 (normalized score 0.2147)

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: no, rank 1462
Subcategory: "Generalized Fermat"
(archival tag id 214389, tag last modified 2020-10-24 09:50:10)

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_id107980
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 3249 2 924038 1 2>&1 [Elapsed time: 9.521 seconds]
modified2020-07-07 17:30:25
created2012-06-28 06:48:02
id145527

fieldvalue
prime_id107980
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/pfgw -t -q"3249*2^924038+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 3249*2^924038+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 5 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3249*2^924038+1 is prime! (1792.8664s+0.0007s) [Elapsed time: 29.87 minutes]
modified2020-07-07 17:30:25
created2012-06-28 06:53:02
id145538

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.