Tuesday, October 23, 2012
Composite f(n)=n2+bn+c
Prove that there is a quadratic f(n)=n2+bn+c, with positive integers coefficients b, c, such that f(n) is composite (i.e, not prime) for all positive integers n, or else prove that the statement is false.
== Attempt ==
| f(n)=n2+bn+c=(n2+b2)2−b24+c |
| c=b24 |
| f(n)=(n2+b2)2 |
