303 · 2144768 - 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:303 · 2144768 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g320 : Griffin, NewPGen, NPLB, PRP, Proth.exe
Decimal Digits:43582   (log10 is 43581.991854912)
Rank (*):57841 (digit rank is 1)
Entrance Rank (*):2534
Currently on list? (*):no
Submitted:7/14/2003 06:18:20 CDT
Last modified:7/14/2003 06:18:20 CDT
Removed (*):2/1/2004 20:31:15 CDT
Database id:65523
Status Flags:none
Score (*):36.993 (normalized score 0.0006)

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.
machineWinXP P4 1.8GHz
notesPrimality testing 303*2^144768-1 [N+1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 99.99% 303*2^144768-1 is prime! (45224.091000 seconds) PFGW Version 20030108.Win_Dev (Alpha 'caveat utilitor') [FFT v22.12 w/P4] Running N+1 test using discriminant 5, base 1+sqrt(5)
modified2020-07-07 17:30:47
created2003-07-14 15:31:51

Query times: 0.0005 seconds to select prime, 0.0013 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.