2141 · 21434223 + 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:2141 · 21434223 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4310 : Hayes, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:431748   (log10 is 431747.47408785)
Rank (*):6303 (digit rank is 1)
Entrance Rank (*):2451
Currently on list? (*):no
Submitted:2/2/2017 13:31:40 CDT
Last modified:2/2/2017 14:20:10 CDT
Removed (*):10/25/2019 07:38:16 CDT
Database id:122829
Status Flags:TrialDiv
Score (*):44.0542 (normalized score 0.8214)

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_id122829
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -t -q"2141*2^1434223+1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 2141*2^1434223+1 [N-1, Brillhart-Lehmer-Selfridge] Running N-1 test using base 3 Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 2141*2^1434223+1 is prime! (1021.3164s+0.0003s) [Elapsed time: 17.03 minutes]
modified2020-07-07 17:30:16
created2017-02-02 13:43:01
id168472

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