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New posts in diophantine-equations
Count the number of integer solutions to $x_1+x_2+\cdots+x_5=36$
combinatorics
diophantine-equations
integer-partitions
Show that $x^4-20200y^2=1$ has no solution in postive integers
number-theory
diophantine-equations
Solution in integers to $2^n+n=3^m$
number-theory
elementary-number-theory
diophantine-equations
rational number solutions to $\frac{a}{a^2+1} + \frac{b}{b^2+1} = \frac{c}{c^2+1}$ with $abc\ne 0$
diophantine-equations
problem-solving
elliptic-curves
rational-functions
rationality-testing
A Diophantine equation solved when N is not a square?
diophantine-equations
Unique pair of positive integers $(p,n)$ satisfying $p^3-p=n^7-n^3$ where $p$ is prime
elementary-number-theory
prime-numbers
modular-arithmetic
contest-math
diophantine-equations
$x,y$ are integers satisfying $2x^2-1=y^{15}$, show that $5 \mid x$
number-theory
diophantine-equations
How to solve this Pell's equation $x^{2} - 991y^{2} = 1 $
number-theory
diophantine-equations
The "Crucial lemma" in Fermat n=3 proof [duplicate]
number-theory
elementary-number-theory
diophantine-equations
alternative-proof
Find all positive integers $x,y$ such that $(x+y)(xy+1)$ is a power of $2$ [duplicate]
elementary-number-theory
diophantine-equations
Integer solutions of $3a^2 - 2a - 1 = n^2$
number-theory
diophantine-equations
Are there any $n$ for which $ n^4+n^3+n^2+n+1$ is a perfect square?
elementary-number-theory
diophantine-equations
Sum of squares diophantine equation
number-theory
diophantine-equations
The diophantine equation $5\times 2^{x-4}=3^y-1$
diophantine-equations
exponential-diophantine-equations
Why can't $p^p-(p-1)^{p-1}=n^2$ be a square?
number-theory
elementary-number-theory
prime-numbers
contest-math
diophantine-equations
$(x-a)(x-b)(x-c)(x-d)=ex$
number-theory
elementary-number-theory
diophantine-equations
Generating Pythagorean triples for $a^2+b^2=5c^2$?
algebraic-geometry
diophantine-equations
Finding pairs of triangular numbers whose sum and difference is triangular
number-theory
elementary-number-theory
diophantine-equations
When is $8x^2-4$ a square number?
elementary-number-theory
diophantine-equations
square-numbers
Prove that there exists $x,y \in \mathbb{Z}$ such that $x^2 - 11y^2 = p$ if and only if $p = 1,3,4,5,9 \bmod 11$ with $p \equiv 1 \bmod 4$ prime
number-theory
diophantine-equations
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