5245 · 21153762 + 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:5245 · 21153762 + 1
Verification status (*):Proven
Official Comment (*):Divides GF(1153761,12)
Proof-code(s): (*):L1204 : Brown1, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:347321   (log10 is 347320.68960276)
Rank (*):16104 (digit rank is 1)
Entrance Rank (*):2782
Currently on list? (*):short
Submitted:9/21/2013 18:20:22 CDT
Last modified:9/21/2013 21:50:03 CDT
Database id:115577
Status Flags:TrialDiv
Score (*):43.3855 (normalized score 0.2992)

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: yes, rank 19, weight 51.950623337321
Subcategory: "Divides GF(*,12)"
(archival tag id 217245, tag last modified 2022-04-12 17:37:10)

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.
machineRedHat P4 P4
notesCommand: /home/caldwell/client/pfgw -t -q"5245*2^1153762+1" 2>&1 PFGW Version [GWNUM 26.5] Primality testing 5245*2^1153762+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 5245*2^1153762+1 is prime! (3524.7523s+0.0010s) [Elapsed time: 58.75 minutes]
modified2020-07-07 17:30:18
created2013-09-21 18:23:01

Query times: 0.0003 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.