<PRE><B>Question 619418</B>
Try n = 1


n^2 - n + 41


1^2 - 1 + 41


1 - 1 + 41


41


Which is prime. So it works so far.


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Try n = 2


n^2 - n + 41


2^2 - 2 + 41


4 - 2 + 41


43


Which is prime. So it works so far.


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Try n = 41


n^2 - n + 41


41^2 - 41 + 41


41(41 - 1 + 1)


41(41)


Which is NOT prime since we can write the final expression as a product of two primes. So this is where the formula breaks down.
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