Prove that the sequence contains a perfect square for any natural number $m $ in the domain of $f$ .
48430
Prove the following sequence always results in a perfect square.
134121
Determining all the positive integers $n$ such that $n^4+n^3+n^2+n+1$ is a perfect square.
121694
How to prove $\log n \leq \sqrt n$ over natural numbers?
154796
Completeness of sequence of reals with finitely many nonzero terms
101832
Proof that sum of first $n$ cubes is always a perfect square
75317
Show that $(s_n)$ is a Cauchy sequence
42292
Show that $a_n<\sqrt{2}$ for every $n\in\mathbb{N}$.
41641
$(n-7)(n+7)=$ some perfect square
140409
Prove that $\sqrt{n} > \ln n$
45788
$n$-th digit in the sequence of natural numbers
103349
A question about a proof of Noetherian modules and exact sequences
72666
Prime Numbers And Perfect Squares
91914
Prove that for the Fibonacci sequence $(F_n)$, $F_n$ divides $F_{2n}$.
31698
$f(m^2 + f(n)) = f(m)^2 + n$ for all natural numbers
121886
Proving image of $f:D^n\rightarrow \mathbb{R}^n \;$ contains $\;D^n$
14836
A polynomial sequence
19954
Perfect set without rational numbers