175 · 2309593 - 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.

This prime's information:

Description:175 · 2309593 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L171 : Metcalfe, ProthSieve, Rieselprime, LLR
Decimal Digits:93200   (log10 is 93199.022485648)
Rank (*):52278 (digit rank is 1)
Entrance Rank (*):2472
Currently on list? (*):no
Submitted:4/6/2006 16:20:07 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):5/29/2007 17:11:40 UTC
Database id:77510
Status Flags:none
Score (*):39.3372 (normalized score 0.0035)

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_id77510
person_id9
machineLinux P4 2.8GHz xserver
whatprime
notesCommand: /home/caldwell/client/llr.pl 175*2^309593-1 2>&1 Starting Lucas Lehmer Riesel prime test of 175*2^309593-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 175*2^309593-1 is prime! Time : 362.101 sec. [Elapsed time: 362 seconds]
modified2020-07-07 22:30:42
created2006-04-06 16:23:16
id84011

fieldvalue
prime_id77510
person_id9
machineGenToo P3 400MHz
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 175 2 309593 -1 2>&1 [Elapsed time: 9.450 seconds]
modified2020-07-07 22:30:42
created2006-07-07 12:57:06
id85033

Query times: 0.0003 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.