Friday, October 12, 2012

617

617 is a prime number.

617 and 619 form a twin prime pair.

617 = 1!2 + 2!2 + 3!2 + 4!2.

617 is the largest multi-digit prime that is exactly half of a number formed with distinct consecutive digits: 1234.

617 has a representation as a sum of two squares: 617 = 162 + 192.

617 is the hypotenuse of a primitive Pythagorean triple: 6172 = 1052 + 6082.

617 is a divisor of 3111 - 1.


Source: Prime Curios!

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