As the apology for the mischievous problem about knights and knaves:
PRIME PRIME + PRIME ------- NUMBER
Yeah, this was inspired by the famous (or infamous) Goldbach Conjecture.
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If PRIME is a prime number, then the solution is:
there is no solution
If PRIME is not a prime number, the solution is:
PRIME = 54328, NUMBER = 162984
Found an alphametic solver for faster solutions.