- Find the remainder when is divided by 29.
- Compute the last two digits of .
- Prove for any integers a and b that never leaves a remainder of 3 when divided by 4.
- Prove that the equation has no solutions in non zero integers a, b and c.
- Prove that the square of any odd integer always leaves a remainder of 1 when divided by 8.

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Nalin Pithwa