43541 · 2507098 - 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:43541 · 2507098 - 1
Verification status (*):Proven
Official Comment (*):[none]
Proof-code(s): (*):g23 : Ballinger, Proth.exe
Decimal Digits:152657   (log10 is 152656.347639613)
Rank (*):34651 (digit rank is 1)
Entrance Rank (*):13
Currently on list? (*):no
Submitted:10/1/2000 14:40:12 CDT
Last modified:10/1/2000 14:40:12 CDT
Removed (*):5/31/2010 13:27:51 CDT
Database id:72
Status Flags:none
Score (*):40.857 (normalized score 0.0338)

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.
machineWindows XP P4 1.8GHz
notesPFGW Version 1.1 for Windows Running N-1 test using base 3 Running N+1 test using discriminant 13, base 2+sqrt(13) Running N+1 test using discriminant 13, base 3+sqrt(13) 43Primality testing 43541*2^507098-1 [N-1/N+1, Brillhart-Lehmer-Selfridge] Calling N+1 BLS with factored part 100.00% and helper 0.01% (300.01% proof) 43541*2^507098-1 is prime! (34644.258000 seconds)
modified2003-03-25 11:26:45
created2002-12-06 11:28:41

Query times: 0.0013 seconds to select prime, 0.0006 seconds to seek comments.
Printed from the PrimePages <primes.utm.edu> © Chris Caldwell.