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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.

Parity (Odd/Even)

         

True or False?

The sum of two odd numbers is odd.

True or False?

The sum of the squares of any three odd numbers is odd.

True or False?

The sum of the squares of three consecutive integers is always odd.

Determine the parity of

\[ \large 101010_3. \]

True or False:
The sum of an odd number and an even number is odd.

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