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Considering the remainder "modulo" an integer is a powerful, foundational tool in Number Theory. You already use in clocks and work modulo 12.

**True or False?**

The sum of two odd numbers is odd.

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**True or False?**

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

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**True or False?**

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

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Determine the parity of

\[ \large 101010_3. \]

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**True or False:**

The sum of an odd number and an even number is odd.

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