Number Theory
Modular Arithmetic Operations
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 \( 703 - 564 \pmod{7} \)?
What is \(\underbrace{7+7+7+\ldots+7}_{\text{100 7's}}\ \bmod{6}?\)
What is \( (83 + 23) \bmod{4} \)?