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15
675
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Convex n-sided polygons whose exterior angles expressed in degrees are in arithmetic progression

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#geometry #diophantine-equations #polygons #arithmetic-progressions
208
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Natural numbers with unique digit sum and product

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#elementary-number-theory #diophantine-equations #decimal-expansion
60
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The strong twin conjecture can be transformed into the unsolvability of a particular Diophantine equation

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#discrete-mathematics #reference-request #diophantine-equations #quantifiers #twin-primes
166
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Integral solutions to $20^m-10m^2+1=19^n$.

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#elementary-number-theory #diophantine-equations #exponential-diophantine-equations
383
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For how many values of x, this expression is an integer?

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#elementary-number-theory #diophantine-equations
212
Views

Rigid nonagons and rational solutions of a hyperelliptic equation

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#geometry #number-theory #diophantine-equations #recreational-mathematics
78
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Solve $(n+1)^k-1=n!$

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#number-theory #diophantine-equations #factorial #binomial-theorem
83
Views

Distinct integer solutions to linear equations involving irrational numbers

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#diophantine-equations #irrational-numbers
83
Views

How to solve this Diophantine equation？

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#number-theory #diophantine-equations
95
Views

Linear Diophantine equations with fractional coefficients

Published on
#diophantine-equations #integers #rational-numbers
518
Views

All solutions to $1/a+1/b=1/c$?

Published on
#elementary-number-theory #diophantine-equations #conjectures
190
Views

Diophantine vs. existential definability

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#logic #terminology #diophantine-equations #model-theory
58
Views

Modular Arithmetic problem: Show that $\sum_{k=1}^{99}{(x+k)^2} = y^z$ is not solvable in integers x,y,z if z>1

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#modular-arithmetic #diophantine-equations
162
Views

Diophantine problem: Find all pairs of $(x, y)$ such that $x^3-4xy+y^3=-1$

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#elementary-number-theory #contest-math #diophantine-equations
219
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Find all $x,y\in \mathbb{N}$, such that $x^{y}=y^{y-x}$

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#elementary-number-theory #diophantine-equations

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