# 113

This number is a prime.

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113 is the smallest prime such that the sum of the squares of the digits (11) is prime and the product of the digits (3) is also prime. Note that the concatenation of the two prime values (11 and 3) gives the prime number 113. [Capelle]

The greatest known prime number p for which there is no prime number between p and p + sqrt(p). [Capelle]

This prime is the smallest natural number whose square contains 5 different digits. It ends with the prime 13, the smallest natural number whose square contains 3 different digits. [Capelle]

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