3221449497221499 · 234567 - 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:3221449497221499 · 234567 - 1
Verification status (*):Proven
Official Comment (*):Triplet (1)
Proof-code(s): (*):p296 : Kaiser1, Srsieve, LLR, OpenPFGW
Decimal Digits:10422   (log10 is 10421.211911444)
Rank (*):77400 (digit rank is 3)
Entrance Rank (*):69138
Currently on list? (*):short
Submitted:8/31/2015 10:23:07 CDT
Last modified:8/31/2015 10:50:35 CDT
Database id:120302
Status Flags:TrialDiv
Score (*):32.568 (normalized score 0)

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.
Triplet (archivable class *)
Prime on list: yes, rank 5
Subcategory: "Triplet (1)"
(archival tag id 218074, tag last modified 2021-06-05 07:37:30)

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.
machineUsing: Xeon 4c+4c 3.5GHz
notesCommand: /home/caldwell/client/llr.pl 3221449497221499*2^34567-1 2>&1 Starting Lucas Lehmer Riesel prime test of 3221449497221499*2^34567-1 Using generic reduction AVX FFT length 4K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done.Starting Lucas-Lehmer loop... 3221449497221499*2^34567-1 is prime! (10422 decimal digits) Time : 1.754 sec. [Elapsed time: 2.00 seconds]
modified2020-07-07 17:30:17
created2015-08-31 10:40:33

Query times: 0.0005 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.