Tuesday, October 11, 2011
A Very Important Number
37 is a scintillating prime number, the fifth lucky prime, the first irregular prime, the third unique prime and the third cuban prime of the form
It is, of course, a factor of all 3-digit base 10 repdigits, such as 111. 37 is the smallest prime that is not also a supersingular prime. It is a centered hexagonal number and a star number!
And did you know that 37 and 38 are the first pair of consecutive positive integers not divisible by any of their digits???
And 37 is a Størmer number! (Since the greatest prime factor of 372 + 1 = 1370 is 137, which is obviously more than 37 twice). How cool is that?
And surely you're fascinated to know that 37 is the only two digit number in base 10 whose product, when multiplied by two, subtracted by one, and then read backwards, equals the original two digit number: 37×2=74, 74-1=73, 73 backwards is 37!
And you probably already knew that 37 is the only two digit number in base 10 with the following property: The difference between the two digits equals the square root of the difference between the number itself and the least common multiple of the two digits!
Today i'm going to try to be the me i want to be.
Info courtesy of wikipedia. Embellishments courtesy of the author