329 · 21246017 + 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:329 · 21246017 + 1
Verification status (*):Proven
Official Comment (*):Divides Fermat F(1246013)
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):L2085 : Dodson1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:375092   (log10 is 375091.00930314)
Rank (*):12129 (digit rank is 1)
Entrance Rank (*):522
Currently on list? (*):short
Submitted:1/6/2012 16:35:29 CDT
Last modified:1/6/2012 17:50:22 CDT
Database id:103866
Status Flags:none
Score (*):43.6219 (normalized score 0.5439)

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.
Fermat Divisors (archivable *)
Prime on list: yes, rank 12, weight 49.4180542938185
Subcategory: "Divides Fermat"
(archival tag id 213773, tag last modified 2020-01-22 21:50:23)

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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.
fieldvalue
prime_id103866
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"329*2^1246017+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 329*2^1246017+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 329*2^1246017+1 is prime! (3290.9491s+0.0010s) [Elapsed time: 54.85 minutes]
modified2020-07-07 17:30:29
created2012-01-06 16:38:01
id137321

fieldvalue
prime_id103866
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 329 2 1246017 1 2>&1 [Elapsed time: 9.678 seconds]
modified2020-07-07 17:30:29
created2012-01-06 16:48:02
id137322

Query times: 0.0004 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.