I have already seen a duplicate of this. But I was not able to follow along.
So I was asked this question by my maths teacher during a sequence and series lecture.
Can you devise $100$ consecutive natural numbers with no primes.
Additionally, Is it possible to have $1000$ consecutive natural numbers with exactly $12$ primes between them?
I have an intuition that we have to form a recurrsive relation and solve it. But I am stuck.
I also tried making a $10*10$, having $50$ multiplies of $2$, $33$ multiples of $3$ and so on trying to generalize but wasn't able to come up with a solution.
Any hints would be really helpful. Thank you.