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.
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZxZNDvoaXl1fMp4kgiXuxytBXgilBkpQzZ0uBCJAaQ4FvmuGm6HaN4FEcTs4TC2kS8Xn-FQYeBiIxx625IzeP1XU4MD387vKfNo2LcCq5axlQe1uIqSz40z-cwTM5y3y6i48HHSP0CW4/s200/n0757.jpg)
Source: Prime Curios!