Determine the total number of nonnegative integer values of n such that ⌊n³/9⌋ is a prime number.

Notes:
1) ⌊x⌋ is the floor of n, which is equal to the greatest integer less than or equal to n.
2) Adapted from a problem appearing in Phillipines Mathematical Olympiad, 2020.

Posted by K Sengupta on 2024-02-01 13:32:42