Tuesday, August 14, 2012

449

449 is a prime number.

449 is the smallest prime number whose digits are composite perfect squares. It is also the smallest prime number that can be constructed from two concatenated prime squares: 22 and 72. And it is the smallest prime whose digits are all semiprimes.


449 is the 87th prime. Note that 42 + 42 + 92 = 82 + 72 = 113.


449 is the sum of five consecutive prime numbers: 449 = 79 + 83 + 89 + 97 + 101.

449 has a representation as a sum of two squares: 449 = 72 + 202.

449 is the hypotenuse of a primitive Pythagorean triple: 4492 = 2802 + 3512.


Source: Prime Curios!

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