Question

Question for you guys. Find the remainder when 5^(1729) + 3^(1731) is divided by 4.

Answer 1

@experimentX @sauravshakya

Answer 2

5^(1729 mod 5) + 3^(1731 mod 5) mod 4

Answer 3

You could write this as:\[(1+4)^{1729}+(4-1)^{1731}\]Which, if you expand using the binomial theorem is always a multiple of 4 (I believe).