Tuesday, March 12, 2013

1733

1733 is a prime number. It is a Sophie Germain prime because 2 x 1733 + 1 = 3467 is also prime.

1733 is the smallest prime that contains exactly six smaller primes as substrings: 3, 7, 17, 73, 173, 733.

1733 is palindromic in base 3: 2101012. It is 565 in base 18.

1733 has a representation as a sum of two squares: 1733 = 172 + 382.

1733 is the hypotenuse of a primitive Pythagorean triple: 17332 = 11552 + 12922.


Source: What's Special About This Number?

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