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Can we find $n$ Pythagorean triples with a common leg for any $n$?

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#systems-of-equations #diophantine-equations #elliptic-curves #quadratic-forms #pythagorean-triples
68
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Can we find integers $x$ and $y$ such that $f,g,h$ are strictely positive integers

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#polynomials #divisibility #diophantine-equations #fractions
328
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Count of possible money splits

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#combinatorics #diophantine-equations
66
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I'm having a problem interpreting and starting this problem with primes.

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#prime-numbers #diophantine-equations
524
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Solution of $X^5=5 Y (Y+1)+1$ in integers.

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#number-theory #diophantine-equations #elliptic-curves
91
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Solving for 4 variables using only 2 equations

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#algebra-precalculus #polynomials #diophantine-equations #factoring #integers
302
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Algorithm for diophantine equation

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#algorithms #computer-science #diophantine-equations
1.1k
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Find all pairs of integers (x,y) such that $x(x+1)(x^2+x+2)=2y^2$

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#contest-math #diophantine-equations
149
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Sum Equals Product: A Diophantine Equation

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#diophantine-equations #project-euler
200
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Diophantine equation for Multivariate Polynomial

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#abstract-algebra #number-theory #polynomials #diophantine-equations
226
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How do I find all integers that satisfy this condition?

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#elementary-number-theory #modular-arithmetic #diophantine-equations
375
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How to solve the pair of equations $4a-11b+12c=22$ and $a+5b-4c=17$ over the integers?

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#algebra-precalculus #elementary-number-theory #systems-of-equations #diophantine-equations #recreational-mathematics
149
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Pythagorean Type Equation

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#diophantine-equations #pythagorean-triples
315
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An idea for approaching Brocard's problem ($n!+1=m^2$)

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#number-theory #diophantine-equations #prime-factorization
207
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A tricky proof of a Diophantine equation is valid?

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#logic #set-theory #diophantine-equations #incompleteness

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