- Hi All

(19303382 + $n*41724940)*5011#+1 (n=0-5) describes an AP6 of 2152-2153 digit primes.

cheers

Ken

Primality testing (19303382 + 0*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.43%

(19303382 + 0*41724940)*5011#+1 is prime! (1.6747s+0.0019s)

Primality testing (19303382 + 1*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.44%

(19303382 + 1*41724940)*5011#+1 is prime! (1.6605s+0.0017s)

Primality testing (19303382 + 2*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.49%

(19303382 + 2*41724940)*5011#+1 is prime! (1.6666s+0.0018s)

Primality testing (19303382 + 3*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.43%

(19303382 + 3*41724940)*5011#+1 is prime! (1.6531s+0.0018s)

Primality testing (19303382 + 4*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.48%

(19303382 + 4*41724940)*5011#+1 is prime! (1.6634s+0.0017s)

Primality testing (19303382 + 5*41724940)*5011#+1 [N-1, Brillhart-Lehmer-Selfridge]

Running N-1 test using base 2

Calling Brillhart-Lehmer-Selfridge with factored part 33.43%

(19303382 + 5*41724940)*5011#+1 is prime! (1.6680s+0.0019s) - --- In primeform@yahoogroups.com, "mikeoakes2" <mikeoakes2@...> wrote:
>

Yes, I think I was unlucky. Especailly since I extended all the ap4's and 5's

>

>

>

> --- In primeform@yahoogroups.com, "kraDen" <kradenken@> wrote:

> >

> > sieved n=100,000,000-200,000,000 to 10^12

> > 30,873,079 tests

> > 306917 prps

> > 147359 ap4s

> > 335 ap5s

> > 0 ap6s

> > extended ap5's (up 77 and down 70) no ap6

> > extended ap4's (up 36,660 and down 37,209) no ap6

> > Modified C++ program to extend all ap3s up and down

> > gave 48,197,836 chances at an ap4

> > after newpgening, prping and combining with originals had

> > 416840 prps

> > 325635 ap4s

> > 764 ap5s

> > 0 ap6s

> > Thankfully extending the ap4s this time yielded the desired result

> >

>

> Thanks for posting those details, Ken.

> You were unlucky not to get an AP6 straight off, weren't you? 335 AP5s should have been enough. (Poisson up to his tricks again:-)

> BTW won't you be submitting your primes to Chris's Top-20 AP page

Oops! forgot all about that.

> http://primes.utm.edu/top20/page.php?id=14

> ?

thanks>

cheers

> Mike

>

ken