SOLUTION: Determine whether a statement n^2 + n + 401 is prime for every natural n is true or false. State and prove a theorem based on this statement.

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Question 1023500: Determine whether a statement
n^2 + n + 401
is prime for every natural n is true or false. State and prove a theorem based on this statement.
Answer by ikleyn(52780) About Me  (Show Source):
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Determine whether a statement
n^2 + n + 401
is prime for every natural n is true or false. State and prove a theorem based on this statement.
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False.

Take n = 1: n%5E2+%2B+n+%2B+401 = 1%5E2+%2B+1+%2B+401 = 403 = 13*31.