41

This number is a prime.

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The smallest prime with a prime subscript (P = p_Q, and Q = 13) to have a digit sum (5) that is also a prime with a prime (3) subscript. Note that the latter is itself the smallest prime with a prime subscript (p = p_q, and q = 2), p and q being the difference of digits of P and Q respectively. [Beedassy]

The smallest prime that is the sum of two or more consecutive primes or composites in a prime number of different ways: 11 + 13 + 17 = 2 + 3 + 5 + 7 + 11 + 13 = 41 = 20 + 21 = 12 + 14 + 15. [Beedassy]

The smallest prime age that automatically disqualifies a mathematician as a potential recipient of Fields medal award. [Beedassy]

(There are 2 curios for this number that have not yet been approved by an editor.)