13 · 24333087 - 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:13 · 24333087 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1862 : Curtis, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:1304391   (log10 is 1304390.27476501)
Rank (*):230 (digit rank is 1)
Entrance Rank (*):130
Currently on list? (*):short
Submitted:6/20/2018 16:45:32 CDT
Last modified:6/20/2018 23:20:14 CDT
Database id:125395
Status Flags:TrialDiv
Score (*):47.4482 (normalized score 24.7594)

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_id125395
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"13*2^4333087-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 13*2^4333087-1 [N+1, Brillhart-Lehmer-Selfridge] Running N+1 test using discriminant 3, base 1+sqrt(3) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 17/4333092 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a1 switch) Running N+1 test using discriminant 3, base 1+sqrt(3) Detected in MAXERR>0.45 (round off check) in Exponentiator::Iterate Iteration: 19/4333092 ERROR: ROUND OFF 0.5>0.45 (Test aborted, try again using the -a2 (or possibly -a0) switch) Running N+1 test using discriminant 3, base 1+sqrt(3) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 13*2^4333087-1 is prime! (21490.7058s+0.0017s) [Elapsed time: 5.97 hours]
modified2020-07-07 17:30:14
created2018-06-20 16:53:02
id171067

Query times: 0.0019 seconds to select prime, 0.0004 seconds to seek comments.
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