Monday 26 December 2011

Monday 26 December

Today is the 360 day of the year.
360 = 2^3 x 3^2 x 5
360 = 179 + 181 i.e. two consecutive prime numbers which are twin primes.
360 is the smallest number to have 24 factors which makes it highly composite.
360 is the sum of the 9 consecutive numbers 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44
360 = 91^2 - 89^2 = 23^2 - 13^2 which are the only two ways that it can be expressed as the difference of the squares of two primes. 360 is the second in the sequence of such numbers.

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