For how many integers $n$ is $n^6+n^4+1$ a perfect square?
42813
Square valued integer polynomial
48787
A number is a perfect square if and only if it has odd number of positive divisors
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
94019
Find all $p$'s such that $p^4 + p^3 + p^2 + p +1$ is a perfect square.
24446
Prove that for each $n$, there exist $n$ consecutive integers, each of which is divisible by a perfect square larger than $1$.
3500
Compositeness of $n^4+4^n$
146581
The sum of the first $n$ squares $(1 + 4 + 9 + \cdots + n^2)$ is $\frac{n(n+1)(2n+1)}{6}$
24820
Prove that if $n$ is a perfect square, then either $n \equiv 1 \pmod 4$, or $n \equiv 0 \pmod 4$.
8034
Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
72437
Sum of the digits of a perfect square
19254
How many rationals of the form $\large \frac{2^n+1}{n^2}$ are integers?
153594
When is $1^5 + 2^5 + \ldots + n^5$ a square?
55206
Prove that the equation $x^4+(2k^2)x^2+2k^4$ is not a perfect square
135212
The square of an integer has form $3n$ or $3n+1$
79103
Check if a number is a perfect square
71935
Let $k$ be a natural number . Then $3k+1$ , $4k+1$ and $6k+1$ cannot all be square numbers.
72666
Prime Numbers And Perfect Squares