Hi All

452558752*2459#+n*359463429*2459#+1 (n=0-7) describes an AP8 of 1056-1057 digit
primes.

sieved n=0-2,000,000,000
538,430,975 prp tests
11,482,783 prps
189,178,618,167 ap3s
543,008,443 ap4s (psuedo eg. 1,2,3,5 as only processed AP3's with an even
difference)
3,117,826 ap5s
14,311 ap6s
64 ap7s
0 ap8s
extended 9 ap7s (0 ap8s)
extended 2459 ap6s (13 ap7s, 0 ap8s)
extended 624,016 ap5s (3548 ap6s, 10 ap7s, 1 ap8s)

cheers
Ken


Primality testing 452558752*2459#+0*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2473
Calling Brillhart-Lehmer-Selfridge with factored part 33.52%
452558752*2459#+0*359463429*2459#+1 is prime! (0.2870s+0.0019s)
Primality testing 452558752*2459#+1*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 3
Calling Brillhart-Lehmer-Selfridge with factored part 33.37%

1/0
452558752*2459#+1*359463429*2459#+1 is prime! (0.2729s+0.0016s)
Primality testing 452558752*2459#+2*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Calling Brillhart-Lehmer-Selfridge with factored part 33.39%
452558752*2459#+2*359463429*2459#+1 is prime! (0.2729s+0.0016s)
Primality testing 452558752*2459#+3*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 7
Calling Brillhart-Lehmer-Selfridge with factored part 33.45%
452558752*2459#+3*359463429*2459#+1 is prime! (0.2716s+0.0017s)
Primality testing 452558752*2459#+4*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2473
Running N-1 test using base 2503
Calling Brillhart-Lehmer-Selfridge with factored part 33.56%
452558752*2459#+4*359463429*2459#+1 is prime! (0.3667s+0.0017s)
Primality testing 452558752*2459#+5*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 11
Calling Brillhart-Lehmer-Selfridge with factored part 33.38%
452558752*2459#+5*359463429*2459#+1 is prime! (0.2691s+0.0016s)
Primality testing 452558752*2459#+6*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 2
Calling Brillhart-Lehmer-Selfridge with factored part 33.52%
452558752*2459#+6*359463429*2459#+1 is prime! (0.2702s+0.0017s)
Primality testing 452558752*2459#+7*359463429*2459#+1 [N-1,
Brillhart-Lehmer-Selfridge]
Running N-1 test using base 19
Calling Brillhart-Lehmer-Selfridge with factored part 33.44%
452558752*2459#+7*359463429*2459#+1 is prime! (0.2690s+0.0016s)