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30444384141 · 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:30444384141 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L255 : Kramer, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100354   (log10 is 100353.71505185)
Rank (*):42450 (digit rank is 587)
Entrance Rank (*):4392
Currently on list? (*):no
Submitted:1/14/2008 09:48:27 CDT
Last modified:1/15/2008 22:58:02 CDT
Removed (*):2/27/2008 18:18:35 CDT
Database id:83561
Status Flags:none
Score (*):39.5651 (normalized score 0.0098)

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_id83561
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 30444384141 2 333333 -1 2>&1
[Elapsed time: 9.896 seconds]
modified2011-12-27 16:48:48
created2008-01-14 09:52:50
id96202

fieldvalue
prime_id83561
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 30444384141*2^333333-1 2>&1
Starting Lucas Lehmer Riesel prime test of 30444384141*2^333333-1
V1 = 5 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
30444384141*2^333333-1 is prime! Time: 1295.473 sec.
[Elapsed time: 21.58 minutes]
modified2008-01-16 12:16:41
created2008-01-15 22:36:27
id96402

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.