prove that for every integer $a>0$ there is a unique representation $a=r*s^2$
90076
Prove that every positive integer $n$ is a unique product of a square and a squarefree number
145397
How to prove that for every $i$, $a_i = i$
51653
Prove that $m+\frac{4}{m^2}\geq3$ for every $m > 0$
146312
Is the set of roots with respect to their values and multiplicies unique for each $g(x)$ in $a_n x^n + g(x)$?
109643
Prove that every isometry on $\mathbb{R}^2$ is bijective
50930
Proving the continued fraction representation of $\sqrt{2}$
144592
how to prove the existence and uniqueness of the prime factorization of any natural number.
143122
Showing that the square root is monotone
53244
Prove that $p \in \mathbb{R}[x]$ can be represented as a sum of squares of polynomials from $\mathbb{R}[x]$
139
Prove or disprove: For every integer a, if a is not congruent to 0 (mod 3), the a^2 is congruent to 1 (mod 3)
102971
Product of all elements of a finite group with an unique element of order 2
103695
Prove Inverses not need be Unique if Associativity fails
129163
Showing that every positive integer can be represented in this form
114522
Prove that identity is unique in a group
13572
$x^y+y^x>1$ for all $(x, y)\in \mathbb{R_+^2}$
46028
Show that the solution for the Diophantine equation $x^2 - y^2 = N$ is unique if and only if $|N|$ or $\frac{|N|}{4}$, respectively, is $1$ or prime.
5287
Representing every positive rational number in the form of $(a^n+b^n)/(c^n+d^n)$