Friday, March 9, 2012

113

113 is a prime number. It is a Sophie Germain prime because 2 x 113 + 1 = 227 is also a prime.

113 is the smallest three-digit prime whose product and sum of digits is prime: 1 x 1 x 3 = 3 and 1 + 1 + 3 = 5.

113 has a representation as a sum of two squares: 113 = 72 + 82 (the sum of two consecutive squares).

113 is the hypotenuse of a primitive Pythagorean triple: 1132 = 152 + 1122.

113 is a centered square number.

1132 = 12769 and its reversal 96721 = 3112.


A113 is the license plate number of Andy's mom's vehicle in the film Toy Story.

Source: Number Gossip and Prime Curios!

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