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!
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