Mention at least ten pairs of co-prime numbers between $1$ and $100$ .

The pairs of co-prime numbers between $1$ and $100$ are $\left(2,3\right),\left(3,5\right),\left(5,7\right),\left(11,13\right),\left(13,14\right),\left(17,19\right),\left(21,22\right),\left(28,57\right),\left(29,31\right),\left(41,43\right),\left(59,61\right),\left(71,73\right),\left(87,88\right),\left(99,100\right)$

Hence, the required at least ten pairs of co-prime numbers are $\left(2,3\right),\left(3,5\right),\left(5,7\right),\left(11,13\right),\left(13,14\right),\left(17,19\right),\left(21,22\right),\left(28,57\right),\left(29,31\right),\left(41,43\right)$