Nonnegative Integer Crossed Prime Puzzle (Posted on 2024-01-05)
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.
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