# 118

This number is a composite.

If *n* is greater than or equal to 118, then the interval *n* to 4*n*/3 inclusive contains a prime number of each of the forms 4*n* + 1, 4*n* - 1, 6*n* + 1 and 6*n* - 1. [Wells]

118 is the smallest even number not differing by one or a prime number from one of its prime neighbors. [Wagler]

According to Rohrbach and Weis, p(n+1)-p(n)-1 < (1/13)p(n) for n > 118. [Post]

(118, 119) is the first pair of 3-digit successive composite numbers whose the reversals are both primes, i.e., (811, 911). [Loungrides]

(There is one curio for this number that has not yet been approved by an editor.)

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