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(just those submitted by Das)
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+ The minimum prime p such that p + 1 each has exactly 3 distinct prime factors. [Das]

+ The smallest prime that is not a quiteprime. [Beedassy]

+ The smallest palindromic prime using two distinct digits which when interchanged forms another palindromic prime (313). Note that in both cases a new palindromic prime with a prime number of digits is generated when each digit d is repeated d times: 13331; 3331333. [Beedassy]

+ The smallest Honaker prime: 131 = P32, and 1 + 3 + 1 = 3 + 2. Note that the latter digit sum corresponds to the smallest prime with prime subscript (3 = P2) added to its very (prime) subscript. [Beedassy]

+ The smallest prime equidistant between two consecutive emirps: 113, 149. [Beedassy]

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