Monday, May 5, 2014

6673

6673 is a prime number.

6673 is a prime whose base 3 representation (100011011) also is the base 2 representation of a prime (A235265).

6673 is a prime that is 3 greater than a triangular number (A159047).

6673 is a prime such that the sum of the predecessor and successor primes is divisible by 29 (A112859). It is also divisible by 23 (A112847).

6673 is a prime that can be expressed as a sum of distinct powers of 3 (A077717).

6673 has a representation as a sum of two squares: 6673 = 522 + 632.

6673 is the hypotenuse of a primitive Pythagorean triple: 66732 = 12652 + 65522.


Source: OEIS

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