Let a and b be positive integers such that 1^4 + 5^4 + 6^4 + a^4 + b^4 = 2019. Find a + b.
2019 - 5^4 - 6^4 = 97 = a^4 +b^4
81 +16 = a^4 + b^4
3^4 + 2^4 = a^4 + b^4
+36916 
