347 · 22245598 - 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: 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:

field (help)value
Description:347 · 22245598 - 1
Verification status (*):Proven
Official Comment:
Proof-code(s): (*):L2519 : Schmidt2, PSieve, Srsieve, NPLB, LLR
Decimal Digits:675995   (log10 is 675994.89653252)
Rank (*):817 (digit rank is 1)
Entrance Rank (*):776
Currently on list? (*):short
Submitted:7/6/2017 00:40:44 CDT
Last modified:7/6/2017 02:50:19 CDT
Database id:123679
Status Flags:TrialDiv
Score (*):45.4312 (normalized score 5.4234)

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_id123679
person_id9
machineUsing: Xeon (pool) 4c+4c 3.5GHz
whatprime
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"347*2^2245598-1" 2>&1
PFGW Version 3.7.7.64BIT.20130722.x86_Dev [GWNUM 27.11]
Primality testing 347*2^2245598-1 [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: 19/2245608 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: 19/2245608 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%


347*2^2245598-1 is prime! (6241.8285s+0.0009s)
[Elapsed time: 1.73 hours]
modified2017-08-07 13:02:22
created2017-07-06 00:43:01
id169331

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