From test case 2, it seems that you are asking for the closest prime number no less than n. Please clarify this ambiguity in the problem. Otherwise, the answer to test case 2 is 19 (not 23), which is the closest prime number to 20.
Final statement in problem statement disagrees with Case #1 of n=3.
I made a few quick edits.
I suggest to update this problem with big primes.
Distance walked 3D
Reindex a vector
Calculate the height of an object dropped from the sky
multiple of nine?
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