MathDB

triangles with sides a prime, b power of 2, c square of an odd integer

Source: 1981 Swedish Mathematical Competition p6

March 28, 2021

number theoryPerfect Squarepower of 2triangle inequality

Problem Statement

Show that there are infinitely many triangles with side lengths

a

b

c

, where

a

is a prime,

b

is a power of

2

and

c

is the square of an odd integer.