1759 · 27046791 - 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:1759 · 27046791 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):L4965 : Propper, LLR
Decimal Digits:2121299   (log10 is 2121298.7094408)
Rank (*):130 (digit rank is 1)
Entrance Rank (*):122
Currently on list? (*):short
Submitted:8/28/2021 08:29:50 CDT
Last modified:8/29/2021 19:37:15 CDT
Database id:132656
Status Flags:TrialDiv
Score (*):48.9391 (normalized score 88.5171)

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.
machineUsing: Xeon (pool) 4c+4c 3.5GHz
notesCommand: /home/caldwell/clientpool/1/pfgw64 -tp -q"1759*2^7046791-1" 2>&1
PFGW Version [GWNUM 29.8]
Primality testing 1759*2^7046791-1 [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: 21/7046803 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%

1759*2^7046791-1 is prime! (123237.4082s+0.0014s)
[Elapsed time: 34.23 hours]
modified2021-08-29 18:44:59
created2021-08-28 08:31:02

Query times: 0.0004 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.