Prove that every integer is a sum of two squares and a cube of integer
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
153313
Prove that for all integers $ a $ and $ b $, if $ a $ divides $ b $, then $ a^{2} $ divides $ b^{2} $.
34617
Number Theory: which primes are a sum of two squares?
76370
Can any integer can be written as the sum of 8 integer cubes?
44528
The only natural number $x$ for which $x+\sqrt{-2}$ is a cube in $\mathbb{Z}[\sqrt{-2}]$ is $x=5$
80671
Product of sums of square is a sum of squares.
99662
proving than every $2\times 2$ is similar to a united form
147398
If every element of $H$ and $G/H$ is a square, then prove that so is every element of $G$.
135458
When is a sum of consecutive squares equal to a square?
101832
Proof that sum of first $n$ cubes is always a perfect square
92057
Prove that for every odd integer n, there is a group...
143113
Non-inductive, not combinatorial proof of $\sum_{i \mathop = 0}^n \binom n i^2 = \binom {2 n} n$
101835
Which rationals can be written as the sum of two rational squares?
120976
Proving $\sum_{k=0}^{n}k{n\choose k}^2 = n{2n-1 \choose n-1} $
129163
Showing that every positive integer can be represented in this form
145397
How to prove that for every $i$, $a_i = i$
6165
Proof by Induction $n^2+n$ is even