139413 · 61279992 + 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:139413 · 61279992 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4001 : Willig, Srsieve, CRUS, LLR
Decimal Digits:996033   (log10 is 996032.519584333)
Rank (*):774 (digit rank is 1)
Entrance Rank (*):144
Currently on list? (*):short
Submitted:8/7/2015 10:23:46 CDT
Last modified:8/7/2015 17:20:26 CDT
Database id:120202
Status Flags:TrialDiv
Score (*):46.6208 (normalized score 10.9315)

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_id120202
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"139413*6^1279992+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 139413*6^1279992+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 13 Running N-1 test using base 17 Running N-1 test using base 19 Calling Brillhart-Lehmer-Selfridge with factored part 61.31% 139413*6^1279992+1 is prime! (23623.5772s+0.0194s) [Elapsed time: 6.56 hours]
modified2020-07-07 17:30:17
created2015-08-07 10:31:02
id165830

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