4253

4253 is a prime number.

4253 has a representation as the sum of two squares: 4253 = 38² + 53².

4253 is the hypotenuse of a primitive Pythagorean triple: 4253² = 1365² + 4028².

M(4253) is the smallest titanic Mersenne prime: A Mersenne prime has the form 2ⁿ – 1; in this case, n = 4253. It was discovered Nov. 3, 1961, by Alexander Hurwitz using an IBM 7090 computer. The number has 1,261 decimal digits, making it a titanic prime because it has more than 1,000 decimal digits.

The Massey Ferguson 4253 was a tractor produced between 1997 and 1999.

Source: Prime Curios!