Friday, March 23, 2012

277

277 is a prime number.

76729 is the square of the prime 277 and the smallest square with five or more digits that is the concatenation of three primes (7, 67, and 29).

277 is the smaller prime factor of the semiprime 9000007, the first composite number of the series 97, 907, 9007, and so on.


277 has a representation as a sum of two squares: 277 = 92 + 142.

277 is the hypotenuse of a primitive Pythagorean triple: 2772 = 1152 + 2522.

The digit sum of 277 is a fourth power: 2 + 7 + 7 = 16 = 24.

277 = (2 + 7)2 + (7 + 7)2.

Source: Prime Curios!

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