181 · 2293551 - 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:181 · 2293551 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L171 : Metcalfe, ProthSieve, Rieselprime, LLR
Decimal Digits:88370   (log10 is 88369.9139357321)
Rank (*):46843 (digit rank is 1)
Entrance Rank (*):2829
Currently on list? (*):no
Submitted:4/1/2006 12:33:42 CDT
Last modified:7/7/2006 08:05:46 CDT
Removed (*):5/2/2007 10:13:04 CDT
Database id:77464
Status Flags:none
Score (*):39.1733 (normalized score 0.0061)

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 xserver
notesCommand: /home/caldwell/client/llr.pl 181*2^293551-1 2>&1 Starting Lucas Lehmer Riesel prime test of 181*2^293551-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 181*2^293551-1 is prime! Time : 345.017 sec. [Elapsed time: 345 seconds]
modified2020-07-07 17:30:42
created2006-04-01 12:53:01

machineGenToo P3 400MHz
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 181 2 293551 -1 2>&1 [Elapsed time: 9.831 seconds]
modified2020-07-07 17:30:42
created2006-07-07 08:05:36

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