126206397135 · 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:126206397135 · 21290000 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L2164 : Dodson1, TwinGen, PrimeGrid, LLR
Decimal Digits:388340   (log10 is 388339.7954879)
Rank (*):11150 (digit rank is 48)
Entrance Rank (*):768
Currently on list? (*):no
Submitted:10/24/2012 04:53:09 CDT
Last modified:10/24/2012 06:50:25 CDT
Removed (*):10/16/2015 13:03:07 CDT
Database id:109924
Status Flags:none
Score (*):43.7286 (normalized score 0.6248)

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_id109924
person_id9
machineDitto P4 P4
whattrial_divided
notesCommand: /home/ditto/client/TrialDiv/TrialDiv -q 126206397135 2 1290000 -1 2>&1 [Elapsed time: 10.261 seconds]
modified2020-07-07 17:30:23
created2012-10-24 05:05:02
id149638

fieldvalue
prime_id109924
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/llr.pl 126206397135*2^1290000-1 2>&1 Starting Lucas Lehmer Riesel prime test of 126206397135*2^1290000-1 Using Zero Padded IBDWT : Mersenne fftlen = 65536, Used fftlen = 131072 V1 = 9 ; Computing U0... V1 = 9 ; Computing U0...done. Starting Lucas-Lehmer loop... 126206397135*2^1290000-1 is prime! Time : 5335.938 sec. [Elapsed time: 88.93 minutes]
modified2020-07-07 17:30:23
created2012-10-24 05:08:01
id149640

Query times: 0.0004 seconds to select prime, 0.0007 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.