Thursday, February 27, 2014

2113

2113 is a prime number.

2111 and 2113 form a twin prime pair.

2113 = 15 + 25 + 25 + 45 + 45 = (25)2 + (25 + 1)2.

2113 is the largest prime factor of 222 + 1.

2113 is 100001000001 in base 2 (binary).

2113 has a representation as a sum of two squares: 2113 = 322 + 332. It is the sum of two consecutive squares.

2113 is the hypotenuse of a primitive Pythagorean triple: 21132 = 652 + 21122.

2113 divides 654 - 1.


Source: Prime Curios!

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