SOLUTION: Find a counterexample to the statement " The square of a number added to the sum of the number and five is a prime number."

Algebra.Com
Question 142465: Find a counterexample to the statement " The square of a number added to the sum of the number and five is a prime number."
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Find a counterexample to the statement " The square of a number added to the sum of the number and five is a prime number."
------------------------
Let the number be "x".
Claim: x^2 + x + 5 is a prime
Let x = 4, then 4^2+4+5 = 25 which is not a prime.
===========================
Cheers,
Stan H.

RELATED QUESTIONS

Find a counterexample to the statement “The square of a number added to the sum of the... (answered by Edwin McCravy)
Find a counterexample to the statement "The square of a number added to the sum of the... (answered by Edwin McCravy)
Find a counterexample to the statement “The square of a number added to the sum of the... (answered by jim_thompson5910,adcoy)
Find a counterexample to the statement “The square of am integer added to the sum of the... (answered by Edwin McCravy)
Find a counterexample to the statement: The square of a number added to the sum of twice... (answered by Alan3354)
Find a counterexample to:The cube of a number added to the sum of five times the number... (answered by CharlesG2)
Give a counterexample: the square of a number added to the sum of twice the number and 8... (answered by vleith)
Find the counterexample to the statement: "The square of a number added to the sum of the (answered by user_dude2008)
Find a counterexample to the statement: The cube of a number added to the sum of three... (answered by ankor@dixie-net.com)