152713 · 21154707 - 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:152713 · 21154707 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g23 : Ballinger, Proth.exe
Decimal Digits:347607   (log10 is 347606.62707918)
Rank (*):20471 (digit rank is 1)
Entrance Rank (*):46
Currently on list? (*):no
Submitted:10/23/2004 17:39:14 UTC
Last modified:3/11/2023 15:54:10 UTC
Removed (*):6/29/2014 20:38:45 UTC
Database id:72124
Status Flags:none
Score (*):43.3881 (normalized score 0.1774)

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_id72124
person_id9
machineLinux P4 2.8GHz
whatprime
notesCommand: /home/caldwell/client/llr.pl 152713*2^1154707-1 2>&1 Starting Lucas Lehmer Riesel prime test of 152713*2^1154707-1 V1 = 4 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 152713*2^1154707-1 is prime! Time : 54329.340 sec.
modified2020-07-07 22:30:45
created2004-10-23 17:53:01
id77120

Query times: 0.0002 seconds to select prime, 0.0004 seconds to seek comments.
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