Demonstrate that 4k + 3 cannot be perfect square
33735
The square of an integer is congruent to 0 or 1 mod 4
41641
$(n-7)(n+7)=$ some perfect square
59419
Crafty solutions to the following limit
83449
Proof with 3D vectors
29251
Show that the square of any prime number is the Factof of some integer
58171
Two problems about Squarefree numbers
106716
The sum of square roots of non-perfect squares is never integer
28218
Elementary proof for $\sqrt[3]{xyz} \leq \dfrac{x+y+z}{3}$
122207
Use the Division Algorithm to show the square of any integer is in the form $3k$ or $3k+1$
146512
Prove that for every prime number $p>3$, $4p^2+1$ can be written as the sum of three square numbers
71110
Show that we cannot have a prime triplet of the form $p$, $p + 2$, $p + 4$ for $p >3$
66216
Squares, Cubes and Prime numbers
21898
Find all primes $p$ such that $ p^3-4p+9 $ is a perfect square.
80458
How to efficiently find the largest perfect square dividing a given large integer?
134
Prove that the expression is a perfect square
100568
Showing $\gamma < \sqrt{1/3}$ without a computer
155295
A solution to the Four-Color Theorem applied to the map Florida, USA