Monday, June 6, 2011

757

757 is a prime number.

757 has a representation as a sum of two squares: 757 = 92 + 262.

757 is the hypotenuse of a primitive Pythagorean triple: 7572 = 4682 + 5952.

757 is the smallest palindromic prime that remains prime when its leading digit is replaced by any nonzero digit that is a power of 2: 157, 257, 457, 857.

757 is the largest of three three-digit palindromic primes that are not the sum of consecutive composite numbers. The others are 313 and 383.

The Boeing 757 is a mid-size, narrow-body, twin-engine jetliner.

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