1657352235 · 2333333 - 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:1657352235 · 2333333 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L262 : Otto, NewPGen, PrimeGrid, TPS, LLR
Decimal Digits:100353   (log10 is 100352.45095948)
Rank (*):45265 (digit rank is 376)
Entrance Rank (*):3176
Currently on list? (*):no
Submitted:3/10/2007 15:14:29 CDT
Last modified:3/10/2007 21:17:58 CDT
Removed (*):7/16/2007 08:23:56 CDT
Database id:79688
Status Flags:none
Score (*):39.5651 (normalized score 0.0093)

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_id79688
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 1657352235 2 333333 -1 2>&1 [Elapsed time: 9.515 seconds]
modified2020-07-07 17:30:41
created2007-03-10 15:22:01
id88485

fieldvalue
prime_id79688
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 1657352235*2^333333-1 2>&1 Starting Lucas Lehmer Riesel prime test of 1657352235*2^333333-1 V1 = 21 ; Computing U0... Done Computing U0. Starting Lucas-Lehmer loop... 1657352235*2^333333-1 is prime! Time : 570.974 sec. [Elapsed time: 571 seconds]
modified2020-07-07 17:30:41
created2007-03-10 21:08:27
id88493

Query times: 0.0005 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.