Prove that every number of the sequence $49,4489,444889,\ldots$ is a perfect square
41571
Prove that in a sequence of numbers $49 , 4489 , 444889 , 44448889\ldots$
86285
Given positive integers $ x , y$ and that $3x^2 + x = 4y^2 +y$ Prove that $x-y$ is a perfect square
41641
$(n-7)(n+7)=$ some perfect square
8034
Can $n!$ be a perfect square when $n$ is an integer greater than $1$?
154082
Product of factorials divided by factorial to produce perfect square
45911
Prove that none of $\{11, 111, 1111,\dots \}$ is the perfect square of an integer
7414
Prove that odd perfect square is congruent to $1$ modulo $8$
45460
Proof verification of a number theory problem involving sequences.
3632
Basic number theory proofs
72666
Prime Numbers And Perfect Squares
17306
To find all $n$ such that $(n-1)!+1$ is a perfect power of $n$
112867
Find all digits $a,b$ such that the number $\overline{aabb}$ is a perfect square
120498
Why perfect square has odd number of factors
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
54355
$1+x+\ldots+x^n$ perfect square
72437
Sum of the digits of a perfect square
35326
There are infinitely many $N$ such that $\frac{N}{2}$ is a perfect square, $\frac{N}{3}$ is a perfect cube, and $\frac{N}{5}$ is a perfect fifth power