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167 · 2225232 - 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:167 · 2225232 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L138 : Soule, NewPGen, Rieselprime, LLR
Decimal Digits:67804   (log10 is 67803.8106998609)
Rank (*):48929 (digit rank is 1)
Entrance Rank (*):4892
Currently on list? (*):no
Submitted:3/19/2006 12:18:58 CDT
Last modified:3/19/2006 12:30:09 CDT
Removed (*):4/1/2006 14:06:00 CDT
Database id:77351
Status Flags:none
Score (*):38.3566 (normalized score 0.0029)

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_id77351
person_id9
machineLinux P4 2.8GHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 167 2 225232 -1 2>&1 [Elapsed time: 13.100 seconds]
modified2020-07-07 17:30:42
created2006-03-19 12:22:01
id83708

fieldvalue
prime_id77351
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 167*2^225232-1 2>&1 Starting Lucas Lehmer Riesel prime test of 167*2^225232-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 167*2^225232-1 is prime! Time : 428.730 sec. [Elapsed time: 429 seconds]
modified2020-07-07 17:30:42
created2006-03-19 12:23:00
id83709

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