Friday, September 28, 2012

305

305 = 5 x 61.

305 is the smallest odd composite that is the average of two consecutive Fibonacci numbers (233 and 377).

305 has two representations as a sum of two squares: 305 = 42 + 172 = 72 + 162.

305 is the hypotenuse of two primitive Pythagorean triples: 3052 = 1362 + 2732 = 2072 + 2242.

305 is a divisor of 114 - 1.

305 is the fifth hexagonal prism number. A hexagonal prism number has the form (n + 1)(n2 + 3n + 1).

305 is 614 is base 7 and 461 in base 8.


Source: Prime Curios!

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