Thursday, April 23, 2009

509

509 is a prime number. Because 2 x 509 + 1 = 1019 is a prime, 509 is also a Sophie Germain prime.

509 is the sum of three consecutive squares: 122 + 132 + 142 = 509.

In base 4, 509 is the palindrome 13331.

509 has a representation as a sum of two squares: 509 = 52 + 222.

509 is the hypotenuse of a primitive Pythagorean triple: 5092 = 2202 + 4592.


In the Clint Eastwood movie Firefox, 509 is the number on the conning tower of the submarine beneath the icepack.

Source: Prime Curios!

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