4255 · 21171414 + 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:4255 · 21171414 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L3246 : Beard, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:352635   (log10 is 352634.38024029)
Rank (*):13234 (digit rank is 1)
Entrance Rank (*):2627
Currently on list? (*):no
Submitted:9/27/2013 00:01:28 CDT
Last modified:9/27/2013 01:20:23 CDT
Removed (*):8/28/2014 13:07:12 CDT
Database id:115642
Status Flags:TrialDiv
Score (*):43.4322 (normalized score 0.4521)

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_id115642
person_id9
machineDitto P4 P4
whatprime
notesCommand: /home/ditto/client/pfgw -t -q"4255*2^1171414+1" 2>&1 PFGW Version 3.4.5.32BIT.20110215.x86_Dev [GWNUM 26.5] Primality testing 4255*2^1171414+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 4255*2^1171414+1 is prime! (3580.9875s+0.0013s) [Elapsed time: 59.68 minutes]
modified2020-07-07 17:30:18
created2013-09-27 00:08:01
id161134

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