1079

This number is a composite.

+ Smallest emirpimes for which dropping any digit gives a prime number. 1079 = 13 * 83 is an emirpimes because its reversal 9701 = 89 * 109. Drop the 1 from 1079 to get the prime 79; drop the 0 from 1079 to get the prime 179; drop the 7 from 1079 to get the prime 109; drop the 9 from 1079 to get the prime 107. [Post]

+ The smallest 4-digit number n such that 2^n + n^3 is prime. [Loungrides]

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