Question 319408: Find a counterexample to the statement: The cube of a number added to the sum of three times the number and 3 is a prime number. Justify your solution by supporting it with step by step work.
Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Find a counterexample to the statement:
The cube of a number added to the sum of three times the number and 3 is a prime number.
:
x = "number"
the equation
y = x^3 + 3x + 3
:
Substituting:
x = 1, then y = 7, a prime number
x = 2, then y = 17, a prime number
however,
x = 3, then y = 39, not a prime number
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