Number Theory

Modular Arithmetic Operations

Modular Arithmetic - Addition

         

March 1, 2016 is Tuesday. What day of the week is April 1, 2016?

6515 leaves a remainder of 4 upon division by 17.
3897 also leaves a remainder of 4 upon division by 17.

Then what is the remainder of 2618 upon division by 17?

What is equivalent to 703564(mod7) 703 - 564 \pmod{7} ?

What is 7+7+7++7100 7’s mod6?\underbrace{7+7+7+\ldots+7}_{\text{100 7's}}\ \bmod{6}?

What is (83+23)mod4 (83 + 23) \bmod{4} ?

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