Prove that $11,111,111.....$ is not a perfect square
45911
Prove that none of $\{11, 111, 1111,\dots \}$ is the perfect square of an integer
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
68882
Path to Combinatorics Problem [$1.11$]
157186
Finding integers satisfying $m^2 - n^2 = 1111$
7414
Prove that odd perfect square is congruent to $1$ modulo $8$
114542
Can a number with $100$ $0$'s $100$ $1$'s and $100$ $2$'s ever be a perfect square?
22973
Show that an integer of the form $8k + 7$ cannot be written as the sum of three squares.
114810
$n!$ is never a perfect square if $n\geq2$. Is there a proof of this that doesn't use Chebyshev's theorem?
142580
Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
152754
When is the sum of divisors a perfect square?
72666
Prime Numbers And Perfect Squares
103784
Show that $n^2+11n+2$ is not divisible by $113^2$ ( n is integer)
134
Prove that the expression is a perfect square
28781
$k^{2}+(k+1)^{2}$ being a perfect square for infinitely many $k$
5692
Proving that there is a perfect square between $n$ and $2n$
83248
Vieta Jumping: Related to IMO problem 6, 1988: If $ab + 1$ divides $a^2 + b^2$ then $ab + 1$ cannot be a perfect square.
106716
The sum of square roots of non-perfect squares is never integer