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19 · 21434165 - 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 · 21434165 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L503 : Benson, Srsieve, LLR
Decimal Digits:431728   (log10 is 431727.96248503)
Rank (*):5902 (digit rank is 1)
Entrance Rank (*):93
Currently on list? (*):no
Submitted:4/22/2008 03:04:55 CDT
Last modified:4/22/2008 04:07:49 CDT
Removed (*):10/25/2019 07:37:51 CDT
Database id:84841
Status Flags:none
Score (*):44.0541 (normalized score 0.8733)

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_id84841
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 19 2 1434165 -1 2>&1
[Elapsed time: 10.726 seconds]
modified2011-12-27 16:48:47
created2008-04-22 03:22:02
id98811

fieldvalue
prime_id84841
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 19*2^1434165-1 2>&1
Starting Lucas Lehmer Riesel prime test of 19*2^1434165-1
Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 81920
V1 = 4 ; Computing U0...
V1 = 4 ; Computing U0...done.
Starting Lucas-Lehmer loop...
*2^1434165-1 is prime! Time : 3587.710 sec.
[Elapsed time: 59.80 minutes]
modified2008-05-25 22:31:35
created2008-04-22 03:08:01
id98810

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