Sorry, an error occurred while loading the content.

## Re: Prime chains x-->Ax+B [puzzle 2]

Expand Messages
• ... Suppose that you guessed a 1/9 chance. Then the odds of /not/ getting a result after 17 tries are exp(-17/9) =~ 15% David
Message 1 of 143 , Jan 2, 2011
--- In primenumbers@yahoogroups.com, Kevin Acres <research@...> wrote:

> after now having found 17 15/16 chains, should
> I reasonably be expecting a 16/16 some time soon?

Suppose that you guessed a 1/9 chance. Then the odds
of /not/ getting a result after 17 tries are
exp(-17/9) =~ 15%

David
• ... Suppose that we want to start with a square and get a square. Then we must solve the Diophantine equation y^2 = a*x^2 + b For any pair (a,b), Dario will
Message 143 of 143 , Jan 7, 2011
--- In primenumbers@yahoogroups.com,
Kevin Acres <research@...> wrote:

> x=a*x+b either is a square or has a square as a major factor.

Suppose that we want to start with a square and get a square.
Then we must solve the Diophantine equation
y^2 = a*x^2 + b

For any pair (a,b), Dario will tell us all the solutions:
http://www.alpertron.com.ar/QUAD.HTM

David
Your message has been successfully submitted and would be delivered to recipients shortly.