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.

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(52781) (Show Source): You can put this solution on YOUR website!
.
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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

False.

Take n = 1: = = 403 = 13*31.

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