New AP15 record
- Here is a new AP15 record at 54 digits:-
(237375311+118560155*n)*109#+1 is prime for n=0..14
All confirmed prime with PFGW -tc
Numbers tested by NewPGen: 2*10^9
NewPGen reduced these (by sieving to 50 billion) to: 3.94*10^8
PRP's found by PFGW: 140,719,122
AP14's found: 4
AP15's found: 1
NewPGen: 2 GHz-hrs
PFGW: 3 GHz-days
Pascal program to find AP's: 106 GHz-days
The AP15 came after only 4 AP14's had been found, which was about 4 times sooner than anticipated.
Note that, as n increases, the effort required to find the millions of PRPs is dwarfed by that needed to find a single APn.
Even for n as small as 15, the former is typically about 1% of the latter.
- Mike Oakes wrote:
> Here is a new AP15 record at 54 digits:-Congratulations on beating the only surviving record from the 2005 creation of
> (237375311+118560155*n)*109#+1 is prime for n=0..14
Jens Kruse Andersen