Interesting application:

https://math.stackexchange.com/questions/101324/how-to-use-modulo-to-find-the-last-character-of-an-exponentiation

https://math.stackexchange.com/questions/23918/how-to-find-the-last-digit-of-31000/23920#23920

REALLY interesting reference therein (!):

https://math.stackexchange.com/questions/2033639/mod-of-numbers-with-large-exponents-modular-order-reduction/2033681#20
33681

- BW

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