So here is a cheeky question with regards to cryptography, its the basis of public key encryption in Cryptography. I had a student asked about cryptography once, its a really interesting and exciting field. Many students who watched the Imitation Game, should be greatly intrigued by it. 🙂 So here is the question

What is the remainder of $\frac{70!}{5183}$

You might need to use chinese remainder theorem here or modulo. But definitely not a calculator 🙂