1383 · 24719270 - 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.

This prime's information:

Description:1383 · 24719270 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:1420645   (log10 is 1420644.9684593)
Rank (*):379 (digit rank is 1)
Entrance Rank (*):367
Currently on list? (*):short
Submitted:12/20/2022 09:15:15 CDT
Last modified:12/20/2022 13:37:09 CDT
Database id:134657
Status Flags:DigitRank, TrialDiv
Score (*):47.71 (normalized score 20.2886)

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_id134657
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"1383*2^4719270-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 1383*2^4719270-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 13, base 1+sqrt(13)
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 20/4719282 ERROR: ROUND OFF 0.49509>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 13, base 1+sqrt(13)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


1383*2^4719270-1 is prime! (15183.2177s+0.0009s)
[Elapsed time: 4.22 hours]
modified2022-12-20 13:32:04
created2022-12-20 09:19:01
id180438

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