A four-digit square is of the form $aabb$. What's $a^2+b^2$?
133937
Find the four digit number?
98440
Show that any non-negative rational integer may be written as the sum of two squares if it is of the form....
142580
Prove that a perfect square is either a multiple of $4$ or of the form $4q+1$.
63895
What is the next perfect square of the form 14444... in decimal notation?
46814
$ a+b+c+d=6 , a^2+b^2+c^2+d^2=12$ $\implies$ $ 36 \leq 4(a^3+b^3+c^3+d^3)-(a^4+b^4+c^4+d^4) \leq48 $
149481
Number theory counting sums of squares modulus
146241
If $a \in \Bbb Z$ is the sum of two squares then $a$ can't be written in which of the following forms?
99606
Prove or disprove there exists a set of four numbers out of the $48$ positive integers of which product is a perfect square
153241
Four different positive integers a, b, c, and d are such that $a^2 + b^2 = c^2 + d^2$
27387
Show that $a+b+c=0$ implies that $32(a^4+b^4+c^4)$ is a perfect square.
122312
How can I compute $\mathrm{Aut}(\mathbb{Z}/4\mathbb{Z}\times\mathbb{Z}/6\mathbb{Z})$?
71591
Formula for completing the square?
46730
How to show $\mathbb{Q}(\alpha^{4})=\mathbb{Q}(\alpha)$?
34275
How do I show that $\frac {a^2}b + \frac {b^2}c + \frac {c^2}d + \frac {d^2}a \ge 4$ for $a^2 + b^2 + c^2 + d^2 = 4$?
69874
Are there any integer solutions to $a^3=b^2$?
137015
Solutions for $a^2+b^2+c^2=d^2$
134159
Smallest value of $a^2 + b^2 + c^2+ d^2$, given values for $(a+b)(c+d)$, $(a+c)(b+d)$, and $(a+d)(b+c)$