4965 · 26356707 - 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:4965 · 26356707 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:1913564   (log10 is 1913563.1765664)
Rank (*):331 (digit rank is 1)
Entrance Rank (*):216
Currently on list? (*):short
Submitted:10/2/2022 16:08:07 UTC
Last modified:5/20/2023 20:59:19 UTC
Database id:134434
Status Flags:none
Score (*):48.6232 (normalized score 38.705)

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_id134434
person_id9
machineUsing: Dual Intel Xeon Gold 5222 CPUs 3.8GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"4965*2^6356707-1" 2>&1
PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8]
Primality testing 4965*2^6356707-1 [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: 19/6356721 ERROR: ROUND OFF 0.49969>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: 20/6356721 ERROR: ROUND OFF 0.47161>0.45
(Test aborted, try again using the -a2 (or possibly -a0) switch)
Running N+1 test using discriminant 11, base 1+sqrt(11)
Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate
Iteration: 20/6356721 ERROR: ROUND OFF 0.49984>0.45
(Test aborted
Running N+1 test using discriminant 11, base 1+sqrt(11)
Calling Brillhart-Lehmer-Selfridge with factored part 100.00%


4965*2^6356707-1 is prime! (35492.9750s+0.0010s)
[Elapsed time: 9.86 hours]
modified2022-10-03 02:09:34
created2022-10-02 16:18:01
id180213

Query times: 0.0002 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <t5k.org> © Reginald McLean.