826705845105 · 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:826705845105 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3600 : Patillaud, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.61175754)
Rank (*):10919 (digit rank is 992)
Entrance Rank (*):1338
Currently on list? (*):no
Submitted:8/8/2013 21:15:37 CDT
Last modified:8/8/2013 23:20:47 CDT
Removed (*):2/7/2016 19:04:41 CDT
Database id:114984
Status Flags:none
Score (*):43.7286 (normalized score 0.5925)

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_id114984
person_id9
machineRedHat P4 P4
whattrial_divided
notesCommand: /home/caldwell/client/TrialDiv/TrialDiv -q 826705845105 2 1290000 -1 2>&1 [Elapsed time: 10.406 seconds]
modified2020-07-07 17:30:18
created2013-08-08 21:18:02
id160336

fieldvalue
prime_id114984
person_id9
machineWinXP Dual Core 2.6GHz 64-bit Laptop
whatprime
notesCommand: cllr64.exe -q"826705845105*2^1290000-1" 2>&1 -d Starting Lucas Lehmer Riesel prime test of 826705845105*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 15 ; Computing U0... V1 = 15 ; Computing U0...done. Starting Lucas-Lehmer loop... [Elapsed time: 912 seconds]
modified2020-07-07 17:30:18
created2013-08-08 22:39:33
id160349

Query times: 0.0002 seconds to select prime, 0.0002 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.