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10107287421 · 2333333 - 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:10107287421 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L310 : Steinmetz, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.23617928)
Rank (*):44214 (digit rank is 2338)
Entrance Rank (*):3486
Currently on list? (*):no
Submitted:5/30/2007 16:04:05 CDT
Last modified:5/30/2007 17:04:37 CDT
Removed (*):10/3/2007 23:06:17 CDT
Database id:80794
Status Flags:none
Score (*):39.5651 (normalized score 0.0097)

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_id80794
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 10107287421 2 333333 -1 2>&1
[Elapsed time: 9.248 seconds]
modified2007-05-30 21:58:14
created2007-05-30 16:22:11
id90700

fieldvalue
prime_id80794
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 10107287421*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 10107287421*2^333333-1
V1 = 15 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
10107287421*2^333333-1 is prime! Time: 1249.864 sec.
[Elapsed time: 1250 seconds]
modified2007-05-30 21:58:14
created2007-05-30 16:43:47
id90706

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