# Problem 536: Modulo power identity 
Let S(n) be the sum of all positive integers m not exceeding n having
the following property:a m+4 ≡ a (mod m) for all integers a. The values
of m ≤ 100 that satisfy this property are 1, 2, 3, 5 and 21, thus S(100)
= 1+2+3+5+21 = 32. You are given S(106) = 22868117. Find S(1012).