3911 · 2462579 + 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:3911 · 2462579 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(462577,10)
Proof-code(s): (*):L679 : Foody, Srsieve, PrimeGrid, LLR
Decimal Digits:139254   (log10 is 139253.74665206)
Rank (*):38171 (digit rank is 2)
Entrance Rank (*):3860
Currently on list? (*):no
Submitted:7/19/2009 10:26:33 CDT
Last modified:7/19/2009 11:20:22 CDT
Database id:89334
Status Flags:none
Score (*):40.5741 (normalized score 0.0211)

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 Divisors (bases 3,5,6,10,12) (archivable *)
Prime on list: no, rank 24, weight 48.845679853085
Subcategory: "Divides GF(*,10)"
(archival tag id 210477, tag last modified 2021-02-18 04:50:24)

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 3911 2 462579 1 2>&1 [Elapsed time: 9.519 seconds]
modified2020-07-07 17:30:37
created2009-07-19 10:35:11

machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"3911*2^462579+1" 2>&1 PFGW Version 20031027.x86_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4] Primality testing 3911*2^462579+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Using SSE2 FFT Adjusting authentication level by 1 for PRIMALITY PROOF Reduced from FFT(57344,20) to FFT(57344,19) Reduced from FFT(57344,19) to FFT(57344,18) Reduced from FFT(57344,18) to FFT(57344,17) 925190 bit request FFT size=(57344,17) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 3911*2^462579+1 is prime! (1267.2900s+0.0000s) [Elapsed time: 21.95 minutes]
modified2020-07-07 17:30:37
created2009-07-19 10:53:01

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.