Find the number of possible pairs of positive integers (m,n) such that m3+11^3=n3

Question

Find the number of possible pairs of positive integers (m,n) such that m3+11^3=n3

Answer 1

m^3 + 1331 = n^3

cube_root(m^3 + 1331) = n must be a a positive integer

N = (m^3 + 1331)^(1/3), N as a function of m

m=0 --> N = 11 so (0,11)

you can examine the graph of that function to find where m and n are both positive integers...

Answer 2

If you mean m³ + 11³ = n³, there are an infinite number of ordered pairs that comply with this. Example (-11, 0) or (0, 11) but also (1, cuberoot(1332)_ or (2, cuberoot(1339))