262612971045 · 21290000 - 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:262612971045 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3274 : Schouten, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.11372271)
Rank (*):11254 (digit rank is 1495)
Entrance Rank (*):944
Currently on list? (*):no
Submitted:1/1/2013 16:49:16 CDT
Last modified:1/1/2013 18:50:23 CDT
Removed (*):11/12/2015 09:18:35 CDT
Database id:110526
Status Flags:none
Score (*):43.7286 (normalized score 0.6081)

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_id110526
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 262612971045 2 1290000 -1 2>&1 [Elapsed time: 10.179 seconds]
modified2020-07-07 17:30:23
created2013-01-01 16:52:01
id151327

fieldvalue
prime_id110526
person_id9
machineRedHat P4 P4
whatprime
notesCommand: /home/caldwell/client/llr.pl 262612971045*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 262612971045*2^1290000-1 Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072 V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... 262612971045*2^1290000-1 is prime! Time : 5448.090 sec. [Elapsed time: 1.51 hours]
modified2020-07-07 17:30:23
created2013-01-01 16:53:01
id151329

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