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19 · 23155009 - 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:19 · 23155009 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1828 : Benson, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:949754   (log10 is 949753.62434342)
Rank (*):791 (digit rank is 1)
Entrance Rank (*):53
Currently on list? (*):short
Submitted:4/8/2012 11:15:30 CDT
Last modified:4/8/2012 16:50:30 CDT
Database id:106150
Status Flags:none
Score (*):46.4748 (normalized score 9.8283)

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_id106150
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 19 2 3155009 -1 2>&1
[Elapsed time: 10.012 seconds]
modified2012-07-16 11:33:01
created2012-04-08 11:18:02
id141888

fieldvalue
prime_id106150
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 19*2^3155009-1 2>&1
Starting Lucas Lehmer Riesel prime test of 19*2^3155009-1
Using Irrational Base DWT : Mersenne fftlen = 163840, Used fftlen = 196608
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...

19*2^3155009-1 is prime! Time : 18419.427 sec.
[Elapsed time: 5.12 hours]
modified2012-07-16 11:33:01
created2012-04-08 11:23:02
id141890

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