New posts in vieta-jumping

Integer points on a hyperbola

diophantine-equations vieta-jumping

Resource for Vieta root jumping

number-theory reference-request contest-math vieta-jumping

For which integers $a,b$ does $ab-1$ divide $a^3+1$?

elementary-number-theory elliptic-curves vieta-jumping

Prove that two polynomials are constants if $P(x^2+x+1)=Q(x^2-x+1)$

polynomials vieta-jumping

Find all natural solutions $(a, b)$ such that $(ab - 1) \mid (a^2 + a - 1)^2$.

number-theory vieta-jumping

Diophantine equation $(x+y)(x+y+1) - kxy = 0$

number-theory elementary-number-theory diophantine-equations vieta-jumping

Showing that $m^2-n^2+1$ is a square

elementary-number-theory contest-math divisibility vieta-jumping

How to prove that $a_{n}$ must be of the form $a^2+b^2$?

recurrence-relations vieta-jumping

Integer solutions to $\prod\limits_{i=1}^{n}x_i=\sum\limits_{i=1}^{n}x_i^2$

number-theory sums-of-squares vieta-jumping

Equation with Vieta Jumping: $(x+y+z)^2=nxyz$.

elementary-number-theory contest-math vieta-jumping

IMO 1988, problem 6

elementary-number-theory contest-math square-numbers vieta-jumping

Vieta Jumping: Related to IMO problem 6, 1988: If $ab + 1$ divides $a^2 + b^2$ then $ab + 1$ cannot be a perfect square.

number-theory elementary-number-theory contest-math vieta-jumping

Is it true that $f(x,y)=\frac{x^2+y^2}{xy-t}$ has only finitely many distinct positive integer values with $x$, $y$ positive integers?

number-theory diophantine-equations vieta-jumping

Math olympiad 1988 problem 6: canonical solution (2) without Vieta jumping

elementary-number-theory proof-verification square-numbers vieta-jumping

Proving there are an infinite number of pairs of positive integers $(m,n)$ such that $\frac{m+1}{n}+\frac{n+1}{m}$ is a positive integer

elementary-number-theory contest-math divisibility vieta-jumping

Diophantine quartic equation in four variables

geometry diophantine-equations vieta-jumping

Let $x$ and $y$ be positive integers such that $xy \mid x^2+y^2+1$.

number-theory vieta-jumping