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223 · 2307755 - 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:223 · 2307755 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L138 : Soule, NewPGen, Rieselprime, LLR
Decimal Digits:92646   (log10 is 92645.8346204316)
Rank (*):45856 (digit rank is 1)
Entrance Rank (*):2197
Currently on list? (*):no
Submitted:1/29/2006 00:17:07 CDT
Last modified:1/29/2006 00:36:10 CDT
Removed (*):5/28/2007 12:19:08 CDT
Database id:76891
Status Flags:none
Score (*):39.3189 (normalized score 0.0076)

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.
machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 223 2 307755 -1 2>&1
[Elapsed time: 13.237 seconds]
modified2006-02-01 23:37:09
created2006-01-29 00:22:01

machineLinux P4 2.8GHz
notesCommand: /home/caldwell/client/ 223*2^307755-1 2>&1
Starting Lucas Lehmer Riesel prime test of 223*2^307755-1
V1 = 4 ; Computing U0...
Done Computing U0.
Starting Lucas-Lehmer loop...
223*2^307755-1 is prime! Time : 789.636 sec.
[Elapsed time: 790 seconds]
modified2006-02-01 23:37:09
created2006-01-29 00:23:00

Query times: 0.0004 seconds to select prime, 0.0005 seconds to seek comments.
Printed from the PrimePages <> © Chris Caldwell.