- 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.
More later,
Nalin Pithwa
