# Problem 75: Singular integer right triangles
It turns out that 12 cm is the smallest length of wire that can be bent
to form an integer sided right angle triangle in exactly one way, but
there are many more examples. 12 cm: (3,4,5)24 cm: (6,8,10)30 cm:
(5,12,13)36 cm: (9,12,15)40 cm: (8,15,17)48 cm: (12,16,20) In contrast,
some lengths of wire, like 20 cm, cannot be bent to form an integer
sided right angle triangle, and other lengths allow more than one
solution to be found; for example, using 120 cm it is possible to form
exactly three different integer sided right angle triangles. 120 cm:
(30,40,50), (20,48,52), (24,45,51) Given that L is the length of the
wire, for how many values of L ≤ 1,500,000 can exactly one integer sided
right angle triangle be formed?