25 · 25152151 - 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:25 · 25152151 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1884 : Jaworski, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:1550954   (log10 is 1550953.3911302)
Rank (*):327 (digit rank is 1)
Entrance Rank (*):140
Currently on list? (*):short
Submitted:2/19/2020 13:50:29 CDT
Last modified:2/19/2020 23:20:21 CDT
Database id:130575
Status Flags:TrialDiv
Score (*):47.9791 (normalized score 27.7885)

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_id130575
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"25*2^5152151-1" 2>&1 PFGW Version 4.0.1.64BIT.20191203.x86_Dev [GWNUM 29.8] Primality testing 25*2^5152151-1 [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: 20/5152157 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) Calling Brillhart-Lehmer-Selfridge with factored part 100.00% 25*2^5152151-1 is prime! (32913.5686s+0.0025s) [Elapsed time: 9.14 hours]
modified2020-07-07 17:30:10
created2020-02-19 13:53:01
id176261

Query times: 0.0003 seconds to select prime, 0.0004 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.