
Almost Right-angled Triangles I
Let us call an integer sided triangle with sides $a \le b \le c$ barely acute if the sides satisfy $a^2 + b^2 = c^2 + 1$.
How many barely acute triangles are there with perimeter $\le 25\,000\,000$?
Let us call an integer sided triangle with sides $a \le b \le c$ barely acute if the sides satisfy $a^2 + b^2 = c^2 + 1$.
How many barely acute triangles are there with perimeter $\le 25\,000\,000$?