3001

3001 is a prime number.

2999 and 3001 form a twin prime pair.

3001 is a prime whose digit sum is 4 (A062339). It is the largest 4-digit prime with minimum digit sum (A069664).

3001 is a centered decagonal number (A062786).

3001 is a prime that can be expressed as the sum of distinct powers of 3 (A077717).

3001 is 1/24 of the 24th Fibonacci number.

3001 has a representation as a sum of two squares: 3001 = 20² + 51².

3001 is the hypotenuse of a primitive Pythagorean triple: 3001² = 2040² + 2201².

3001 divides 20¹⁵ - 1.

Arthur C. Clarke wrote a book titled 3001: The Final Odyssey.

Source: Prime Curios!