49 · 24365175 - 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:49 · 24365175 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L1959 : Metcalfe, PSieve, Srsieve, Rieselprime, LLR
Decimal Digits:1314051   (log10 is 1314050.3015186)
Rank (*):220 (digit rank is 1)
Entrance Rank (*):104
Currently on list? (*):short
Submitted:9/18/2017 04:40:52 CDT
Last modified:9/18/2017 12:50:23 CDT
Database id:123895
Status Flags:TrialDiv
Score (*):47.4708 (normalized score 26.3729)

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_id123895
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"49*2^4365175-1" 2>&1 PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11] Primality testing 49*2^4365175-1 [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: 21/4365182 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% 49*2^4365175-1 is prime! (26833.1340s+0.0007s) [Elapsed time: 7.45 hours]
modified2020-07-07 17:30:15
created2017-09-18 04:53:01
id169556

Query times: 0.0017 seconds to select prime, 0.0003 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.