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15
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A quick method to solve $89y-273x=40$

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#linear-algebra #diophantine-equations
87
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Find all integers $a,b,c$ that satisfy: $a^3 - 3a^2b - 3c+2b^2 = c^3 -3ab^2 + 3c^2 +1 $

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#diophantine-equations
145
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Finding non-negative integer solutions to $3^x + 5^y = a^2$

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#elementary-number-theory #diophantine-equations
37
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Quaternary quadratic modular problem.

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#diophantine-equations #quadratic-forms
262
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Meta-Pythagorean Triple

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#elementary-number-theory #diophantine-equations #pythagorean-triples
639
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Find all solutions to the Diophantine equation $x^2-7y^2=-3$

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#number-theory #diophantine-equations
400
Views

Normalizing an elliptic curve to find integer solutions

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#number-theory #diophantine-equations #elliptic-curves #computational-mathematics
4.4k
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Proving that an equation doesn't have integer solutions

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#elementary-number-theory #divisibility #diophantine-equations #congruences
54
Views

Solving an integer equation (equi-energy transition)

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#algebra-precalculus #diophantine-equations #integers
837
Views

Prove that the diophantine equation $x^2 + (x+1)^2 = y^2$ has infinitely many solutions in positive integers.

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#number-theory #elementary-number-theory #diophantine-equations
231
Views

A very difficult Diophantine problem $n^2 \mid 3^n+2^n+1$

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#number-theory #elementary-number-theory #divisibility #diophantine-equations #conjectures
102
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Simple but hard 2 by 2 system in $x$ and $y$

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#diophantine-equations #systems-of-equations #closed-form
2.6k
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Integer solution to linear equation

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#diophantine-equations #integers #linear-diophantine-equations
168
Views

Bilinear diophantine equations

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#diophantine-equations
62
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Find $b \in \Bbb Z$ for which exists $a \equiv 4 \pmod 5$ such that $6a+21b=15$

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#elementary-number-theory #divisibility #diophantine-equations #congruences #gcd-and-lcm

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