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Can $\frac{a^n+b^n}{a+b}=c^n$ have a solution?

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#diophantine-equations #gcd-and-lcm
177
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diophantine equation with power and twice square

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#number-theory #diophantine-equations
25
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Divisibility Test using Last digit truncation Algorithm of larger blocks of final digits

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#number-theory #elementary-number-theory #solution-verification #divisibility #diophantine-equations
124
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Solving a Diophantine equation involving Euler's totient function.

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#number-theory #diophantine-equations
265
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Solve the generalised diophantine equation: $x_1^2 + x_2^2 + \dots + x_n^2 = kx_1 x_2\dots x_n$

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#number-theory #elementary-number-theory #diophantine-equations
152
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When do there exist rational solutions to the generalized Pell equation?

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#diophantine-equations #pell-type-equations
204
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Trying to prove a power sum divisibility conjecture

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#elementary-number-theory #power-series #divisibility #diophantine-equations
217
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Solving a non-linear Diophantine equation

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#number-theory #diophantine-equations
389
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Finding all positive integer solutions!

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#number-theory #elementary-number-theory #diophantine-equations
198
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Solving the Diophantine equation $x^3= y^2-22$ using elementary techniques

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#algebra-precalculus #number-theory #polynomials #diophantine-equations #factoring
44
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Efficiently finding all numbers in two sets defined by each other

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#diophantine-equations #recursion #programming
241
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How do I prove Diophantine equation has no solutions

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#diophantine-equations
244
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Does equation $a^b+b^c+c^a=d^e$ have solutions in $\mathbb {N}$

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#combinatorics #elementary-number-theory #diophantine-equations
143
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Integer row reduction without scalar multiplication

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#matrices #diophantine-equations #matrix-decomposition #gaussian-elimination #linear-diophantine-equations
272
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Solve the Diophantine equation $ 12^x + y^4 = 56^z $ where $x, y, z$ are non-negative integers.

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#number-theory #diophantine-equations #exponential-diophantine-equations

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