- N = 71*2^515886 - 907*2^338934 + 1

is the third in an arithmetic progression of primes.

Steven Harvey used OpenPFGW to prove the primality of

A = 71*2^515885 + 1

http://primes.utm.edu/primes/page.php?id=83016

B = 907*2^338934 + 1

http://primes.utm.edu/primes/page.php?id=84313

and I used OpenPFGW to prove the primality of

N = 2*A - B, at 155300 decimal digits:

Running N-1 test using base 3

Calling Brillhart-Lehmer-Selfridge with factored part 65.70%

71*2^515886-907*2^338934+1 is prime! (3862.6514s+0.0068s)

David Broadhurst, 20 April 2010 - David Broadhurst wrote:
> N = 71*2^515886 - 907*2^338934 + 1

Congratulations on improving your record, this time using two known

> is the third in an arithmetic progression of primes.

>

> Steven Harvey used OpenPFGW to prove the primality of

> A = 71*2^515885 + 1

> http://primes.utm.edu/primes/page.php?id=83016

> B = 907*2^338934 + 1

> http://primes.utm.edu/primes/page.php?id=84313

> and I used OpenPFGW to prove the primality of

> N = 2*A - B, at 155300 decimal digits:

primes from the same discoverer (by coincidence I guess).

http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.

--

Jens Kruse Andersen - --- In primeform@yahoogroups.com,

"Jens Kruse Andersen" <jens.k.a@...> wrote:

> Congratulations on improving your record, this time using two known

Yes, it was a neat coincidence that Steven gave a "double-assist".

> primes from the same discoverer (by coincidence I guess).

David - N = 1185*2^529445 - 1539*2^263359 + 1

is the third in an arithmetic progression of primes.

Sascha Dinkel used LLR to prove the primality of

A = 1185*2^529444 + 1

http://primes.utm.edu/primes/page.php?id=86584

Steven Harvey used OpenPFGW to prove the primality of

B = 1539*2^263359 + 1

http://primes.utm.edu/primes/page.php?id=78158

and I used OpenPFGW to prove the primality of

N = 2*A - B, at 159382 decimal digits:

Running N-1 test using base 11

Calling Brillhart-Lehmer-Selfridge with factored part 49.74%

1185*2^529445-1539*2^263359+1 is prime! (4000.3667s+0.0063s)

David Broadhurst, 30 April 2010