Determine the smallest positive integer such that 60^n+k*71^n is divisible by 1441 for all odd positive integers n
+2863 Does this problem let usage of a calculator? Because I used a calculator to discover that the factors of 1441 are 131 and 11.
*To check if a number is prime
So knowing that 131 and 11 multiply to 1441, we can see that miraculously if you substitute 1 for n in your equation 60n + k * 71n you get 131*k. And since 11 multiplied by 131 is 1441, k should be \(\boxed{11}\).
