Diophantine $7^a+2=3^b$
89804
Diophantine equation: $7^x=3^y-2$
53503
Solving the diophantine equation $y^{2}=x^{3}-2$
106271
Solutions of Diophantine equations in Natural numbers
125210
proof: primitive pythagorean triple, a or b has to be divisible by 3
61987
$x^2+1=0$ in $\mathbb{Z}_7$
101708
Integers can be expressed as $a^3+b^3+c^3-3abc$
147562
Sum of squares diophantine equation
99692
Prove that $a^3+b^3+c^3 \geq a^2b+b^2c+c^2a$
136868
Prove that $\sqrt{a^2+3b^2}+\sqrt{b^2+3c^2}+\sqrt{c^2+3a^2}\geq6$ if $(a+b+c)^2(a^2+b^2+c^2)=27$
124641
Prove that $5^{1/3}+7^{1/2}$ is irrational
50772
Solving a Linear Diophantine Equation
23301
There does not exist any integer $m$ such that $3n^2+3n+7=m^3$
147442
Quadratic Diophantine Equation $x^2 + axy + y^2 = z^2$
31895
Prove that if $a$ and $b$ are odd, coprime numbers, then $\gcd(2^a +1, 2^b +1) = 3$
7491
How to show that $7\mid a^2+b^2$ implies $7\mid a$ and $7\mid b$?
94067
How prove this diophantine equation $x^2+y^2+z^3=n$ always have integer solution
63505
Proving that $ 2 $ is the only real solution of $ 3^x+4^x=5^x $