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Modular Arithmetic Operations
Considering the remainder "modulo" an integer is a powerful, foundational tool in Number Theory. You already use in clocks and work modulo 12.
What is the last digit when
\[ 1234 \times 5678 \]
is multiplied out?
by
Chung Kevin
If today is a Monday, then what day will it be 100 days later?
by
Chung Kevin
\[ \LARGE \color{red} 5^{\color{blue}8^{\color{green}{12}^{\color{purple}{15}^{\color{brown}{104}}}}} + \color{red}1\]
Determine the smallest prime divisor of the gigantic number above.
by
Martin Soliman
Which one is the golden goblet?
by
Psalm Lemuel Guevarra
If \(a\) is a negative odd number and \(b\) is a positive even number, then which of the following must be a positive even number?
by
Anuj Shikarkhane