1693

1693 is a prime number.

1693 is a prime that results from merging four successive digits in the decimal expansion of pi (A104824).

1693 is a prime whose binary representation (11010011101) is also the decimal representation of a prime (A065720).

1693 is the smallest prime greater than 41² (A007491).

1693 has a representation as a sum of two squares: 1693 = 18² + 37².

1693 is the hypotenuse of a primitive Pythagorean triple: 1693² = 1045² + 1332².

1693 divides 92⁴ - 1.

Pope Clement XIII was born in the prime year 1693; he was the most recent pope to be born in a prime year.

Source: Prime Curios!