5110664609396115 · 234946 - 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:5110664609396115 · 234946 - 1
Verification status (*):Proven
Official Comment (*):Cunningham chain (4p+3)
Proof-code(s): (*):p375 : Gevay, Vatai, Farkas, Jarai, OpenPFGW
Decimal Digits:10536   (log10 is 10535.502705855)
Rank (*):75817 (digit rank is 1)
Entrance Rank (*):66608
Currently on list? (*):no
Submitted:4/25/2014 15:30:12 CDT
Last modified:4/25/2014 19:50:03 CDT
Database id:117725
Status Flags:TrialDiv
Score (*):32.6018 (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.
Cunningham Chains (1st kind) (archivable class *)
Prime on list: no, rank 6, weight 41.6481375336653
Subcategory: "Cunningham chain (4p+3)"
(archival tag id 217687, tag last modified 2020-02-18 11:20:24)

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/llr.pl 5110664609396115*2^34946-1 2>&1 Starting Lucas Lehmer Riesel prime test of 5110664609396115*2^34946-1 Using General Mode (Rational Base) : Mersenne fftlen = 1792, Used fftlen = 3584 V1 = 11 ; Computing U0... V1 = 11 ; Computing U0...done. Starting Lucas-Lehmer loop... 5110664609396115*2^34946-1 is prime! Time : 9.132 sec. [Elapsed time: 9.00 seconds]
modified2020-07-07 17:30:17
created2014-04-25 15:38:01

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.