Are there distinct integers $A,B,C \in \mathbb{Z}$ such that $A^e + B^e=C^e$
16697
Fermat Last Theorem for non Integer Exponents
143069
What are the direct summands in $\mathbb{Z}^n$?
141102
If $a,b,c$ are positive integers, with $a^2+b^2-ab=c^2$ prove that $(a-b)(b-c)\le0$.
32463
$ax\equiv b\pmod{\! n}$ has a unique solution if $\gcd(a,n) = 1$
40626
Suppose that $ a,b \in \mathbb{Z}$ If 4 divides $ a^2 + b^2$, then $a$ and $b$ are not odd.
137967
Are there $a,b \in \mathbb{N}$ that ${(\sum_{k=1}^n k)}^a = \sum_{k=1}^n k^b $ beside $2,3$
136367
Prove $ ∀a, b, c ∈ Z,$ if $ab + ac ≡ 3$ (mod 6) then b $\not\equiv$ c (mod 6).
67208
Can we say that there exist an integer $n$ such $A+nB$ invertible?
59535
Prove that there exists such a set of $n$ positive integers
39698
On uniqueness of sums of prime powers
46147
Proving $(\forall a\in\mathbb{Z^+})(m\in\mathbb{Z^+}\to a^m\equiv a^{m-\phi(m)}\pmod{m})$
74452
On a uniqueness proof for solutions of $\ a + x = b\,$ in a group
53156
Infinitely many numbers not expressible in the form $a^n+b^n+c^n$
40447
Let $A = \mathbb{Z}$, $B = [−1, \pi]$, $C = (2, 7)$. List all elements of $A \cap (B^c \cap C)$.
91105
For every $n\ge3$ there exists $n$ different integers $a_1,...,a_n$ so that $\frac{1}{a_1}+\frac{1}{a_2}+...+\frac{1}{a_n}=1$
58418
Does there exist a set of exactly five positive integers such that the sum of any three distinct elements is prime?
66748
Show that if $a \equiv b \pmod n$, $\gcd(a,n)=\gcd(b,n)$