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10-64.

For many years mathematicians tried to find a formula to generate prime numbers. One candidate was the expression $n^2 + n + 41$, where $n$ is a positive integer. Try at least $3$ or $4$ numbers. What do you think of the formula? Does it work? Could you prove it? Homework Help ✎

Try $1, 2, 3$ and $4$. Does it work?

Try $41$. Does it work?