8145 · 23336474 + 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:8145 · 23336474 + 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L5110 : Provencher, PSieve, Srsieve, PrimeGrid, LLR
Decimal Digits:1004383   (log10 is 1004382.66464407)
Rank (*):625 (digit rank is 1)
Entrance Rank (*):623
Currently on list? (*):short
Submitted:7/26/2020 14:02:40 CDT
Last modified:7/26/2020 15:50:10 CDT
Database id:131039
Status Flags:TrialDiv
Score (*):46.6464 (normalized score 11.5699)

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_id131039
person_id9
machineUsing: Xeon 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/client/pfgw/pfgw64 -t -q"8145*2^3336474+1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 8145*2^3336474+1 [N-1, Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


8145*2^3336474+1 is prime! (4810.5891s+0.0018s)
[Elapsed time: 80.18 minutes]
modified2020-07-26 15:26:12
created2020-07-26 14:06:01
id176727

Query times: 0.0001 seconds to select prime, 0.0001 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.