687188015475 · 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:687188015475 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3429 : Redding, TwinGen, PrimeGrid, LLR
Decimal Digits:388341   (log10 is 388340.53148211)
Rank (*):12373 (digit rank is 1111)
Entrance Rank (*):1296
Currently on list? (*):no
Submitted:7/1/2013 15:01:31 CDT
Last modified:7/1/2013 22:50:28 CDT
Removed (*):1/29/2016 06:29:49 CDT
Database id:114550
Status Flags:none
Score (*):43.7286 (normalized score 0.4887)

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.
machineDitto P4 P4
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 687188015475 2 1290000 -1 2>&1 [Elapsed time: 10.651 seconds]
modified2020-07-07 17:30:19
created2013-07-01 15:05:01

machineWinXP Dual Core 2.6GHz 64-bit Laptop
notesCommand: cllr64.exe -q"687188015475*2^1290000-1" 2>&1 -d Starting Lucas Lehmer Riesel prime test of 687188015475*2^1290000-1 Using zero-padded AVX FFT length 128K, Pass1=128, Pass2=1K V1 = 5 ; Computing U0... V1 = 5 ; Computing U0...done. Starting Lucas-Lehmer loop... [Elapsed time: 918 seconds]
modified2020-07-07 17:30:19
created2013-07-01 22:30:30

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