84

This number is a composite.

The smallest number that can be written in four ways as the sum of a set of four distinct primes such that the sum of any three terms in each set is prime: {5, 13, 23, 43}, {11, 13, 17, 43}, {11, 13, 23, 37}, {13, 17, 23, 31}. [Loungrides]