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105 · 21407665 - 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:105 · 21407665 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L384 : Pinho, Srsieve, Rieselprime, LLR
Decimal Digits:423752   (log10 is 423751.41003564)
Rank (*):6270 (digit rank is 1)
Entrance Rank (*):142
Currently on list? (*):no
Submitted:12/22/2009 00:49:43 CDT
Last modified:12/22/2009 02:20:21 CDT
Removed (*):5/22/2019 02:58:11 CDT
Database id:91229
Status Flags:none
Score (*):43.9968 (normalized score 0.8234)

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_id91229
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 105 2 1407665 -1 2>&1
[Elapsed time: 10.500 seconds]
modified2011-12-27 16:48:41
created2009-12-22 00:52:01
id111833

fieldvalue
prime_id91229
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 105*2^1407665-1 2>&1
Starting Lucas Lehmer Riesel prime test of 105*2^1407665-1
Using Irrational Base DWT : Mersenne fftlen = 81920, Used fftlen = 98304
V1 = 9 ; Computing U0...
V1 = 9 ; Computing U0...done.
Starting Lucas-Lehmer loop...

105*2^1407665-1 is prime! Time : 3972.784 sec.
[Elapsed time: 66.22 minutes]
modified2010-03-13 18:56:31
created2009-12-22 00:53:01
id111834

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.