Find the missing term that replaces the question mark (?) in the given numerical sequence.

35, 72, 113, ?, 203, 256, 315

The correct answer is 156.

To find the missing term in the sequence, let us calculate the differences between consecutive terms:

$72-35=37$

$113-72=41$

Notice that the differences between consecutive terms are prime numbers in increasing order starting from 37:

37, 41, 43, 47, 53, 59

Following this pattern, the difference between 113 and the missing term (?) must be the next prime number after 41, which is 43:

$113+43=156$

We can verify the subsequent terms using the next prime numbers:

$156+47=203$

$203+53=256$

$256+59=315$

Therefore, the missing term that replaces the question mark (?) is 156.