Solution verification: Prove $f$ doesn't take the value $14$ for any integer input.
64126
integral roots for $f(x) = 41$ if $f(x) = 37$ has 5 distinct integral roots.
97062
Integers as the only valid inputs
106768
Recognizing that a function has no elementary antiderivative
76977
Prove that $f(n)$ is the nearest integer to $\frac12(1+\sqrt2)^{n+1}$?
30330
How can I prove that this function is bounded using the given 2 hints?
154900
Why is $\pi$ = 3.14... instead of 6.28...?
57250
Proving that the sum and difference of two squares (not equal to zero) can't both be squares.
138481
$f(x)=x/1$ is not injective?
33786
Proof that a certain fraction is always an integer
51877
Why is this 'Proof' by induction not valid?
57041
How would you prove that $2^{50} < 3^{33}$ without directly calculating the values
113986
Fermat's Last Theorem: implications (there is no new proof)
102307
Discrete Math Proofs Involving Real Numbers
15872
How to prove a random variable taking values in $[0,1]$ range has variance no larger than $\frac{1}{4}$?
90447
Dividing factorials is always integer
113359
Proving that $x^2 + 4$ is not divisible by $3$
95653
Euler's theorem: [3]^2014^2014 mod 98