Friday, August 23, 2013

1297

1297 is a prime number.

1297 is 10100010001 in base 2 (binary) and 1210001 in base 3. Its base 2 and base 3 representations end with its base 6 representation: 10001.

1297 is the smallest four-digit prime that produces five other primes by changing only its first digit: 2297, 4297, 5297, 7297, and 8297.

1297 is the smallest prime whose reversal (7921) is the square of a Fibonacci number: 7921 = 892.

1297 has a representation as a sum of two squares: 1297 = 12 + 362. It has the representation 64 + 1.

1297 is a divisor of 364 - 1.

1297 is the hypotenuse of a primitive Pythagorean triple: 12972 = 722 + 12952.


Cartoon character Bugs Bunny once correctly calculated 1297 times 142 in his head and said, "If there's one thing we 'wabbits' can do, it's multiply."

Source: Prime Curios!

No comments: