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257 · 2133980 - 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:257 · 2133980 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g323 : Lipinski, NPLB, Proth.exe
Decimal Digits:40335   (log10 is 40334.4087521835)
Rank (*):57690 (digit rank is 1)
Entrance Rank (*):4019
Currently on list? (*):no
Submitted:9/30/2003 18:17:58 CDT
Last modified:9/30/2003 18:17:58 CDT
Removed (*):11/30/2003 20:18:35 CDT
Database id:66428
Status Flags:none
Score (*):36.754 (normalized score 0.0005)

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_id66428
person_id9
machineAthlon 1.3GHz
whatprime
notesCommand: pfgw.exe -n -f -tp -q"257*2^133980-1" 2>&1
Primality testing 257*2^133980-1 [N+1, Brillhart-Lehmer-Selfridge]
Calling Brillhart-Lehmer-Selfridge with factored part 99.99%
257*2^133980-1 is prime! (962.7414s+0.0032s)
PFGW Version 20030811.Win_Dev (Beta 'caveat utilitor') [FFT v22.13 w/P4]
trial factoring to 12897687
Running N+1 test using discriminant 3, base 1+sqrt(3)
modified2003-10-11 11:27:20
created2003-09-30 22:27:29
id71330

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