15 · 26429089 - 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:15 · 26429089 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:1935350   (log10 is 1935349.8098846)
Rank (*):169 (digit rank is 1)
Entrance Rank (*):167
Currently on list? (*):short
Submitted:10/8/2021 17:17:43 CDT
Last modified:10/9/2021 14:37:15 CDT
Database id:132808
Status Flags:TrialDiv
Score (*):48.6579 (normalized score 67.5343)

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_id132808
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"15*2^6429089-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 15*2^6429089-1 [N+1, Brillhart-Lehmer-Selfridge]
Running N+1 test using discriminant 11, base 1+sqrt(11)
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 19/6429094 ERROR: ROUND OFF 0.5>0.45
(Test aborted, try again using the -a1 switch)
Running N+1 test using discriminant 11, base 1+sqrt(11)
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 20/6429094 ERROR: ROUND OFF 0.5>0.45
(Test aborted, try again using the -a2 (or possibly -a0) switch)
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


15*2^6429089-1 is prime! (75225.1597s+0.1343s)
[Elapsed time: 20.90 hours]
modified2021-10-09 14:14:46
created2021-10-08 17:21:01
id178521

Query times: 0.0006 seconds to select prime, 0.0008 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.