Board Thread:Off-Topic Posts/@comment-32576568-20190405202604/@comment-36963837-20190515002311

420!

Say that an ordered pair (x, y) of integers is an irreducible lattice point if x and y are relatively prime. For any�finite set S of irreducible lattice points, show that there is a homogenous polynomial in two variables, f(x, y), with integer coefficients, of degree at least 1, such that f(x, y) = 1 for each (x, y) in the set S.

Note: A homogenous polynomial of degree n is any nonzero polynomial of the form.

f(x, y) = a0xⁿ + a1xⁿ⁻¹y + a2xⁿ⁻²y² + … + an-1xyⁿ⁻¹ + anyⁿ