The differences between consecutive terms are: 529 - 521 = 8 (2^3), 556 - 529 = 27 (3^3). The next difference should be 4^3 = 64. 556 + 64 = 620. Checking the next: 745 - 620 = 125 (5^3), which confirms the pattern.
The series follows the pattern of adding perfect squares to the previous term, starting with 2 squared. We calculate 521 + 8 = 529, then 529 + 27 = 556, which reveals the actual additions are powers of 3 such as 3 squared plus something else, but testing 556 + 64 = 620 works if we assume differences of 8, 27, 64. Verifying the next step, 620 + 125 = 745 confirms the pattern, making the missing value 620.