Mathematics, applications of mathematics to life in general, and my life as a mathematician.

Let us call a natural number awesome if it can be represented as a^{b} + b^{a}, where a and b are natural numbers. For example, number 57 is awesome as 57 = 2^{5} + 5^{2}. Is 2014 awesome?

Sure!

n^1 + 1^n = n+1

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## Leo:

Sure!

30 October 2014, 6:50 pm## Konstantin Knop:

n^1 + 1^n = n+1

30 October 2014, 7:06 pm