## Re: AP3

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• 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 +
Message 1 of 8 , Apr 20, 2010
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)

• ... Congratulations on improving your record, this time using two known primes from the same discoverer (by coincidence I guess).
Message 2 of 8 , Apr 20, 2010
> 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:

Congratulations on improving your record, this time using two known
primes from the same discoverer (by coincidence I guess).
http://users.cybercity.dk/~dsl522332/math/aprecords.htm is updated.

--
Jens Kruse Andersen
• ... Yes, it was a neat coincidence that Steven gave a double-assist . David
Message 3 of 8 , Apr 20, 2010
--- In primeform@yahoogroups.com,
"Jens Kruse Andersen" <jens.k.a@...> wrote:

> Congratulations on improving your record, this time using two known
> primes from the same discoverer (by coincidence I guess).

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

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 +
Message 4 of 8 , Apr 29, 2010
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)