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All positive integers satisfying $n2^n=5^m+7$

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#number-theory #elementary-number-theory #diophantine-equations #recreational-mathematics
417
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Simple exponential diophantine equations with huge solutions?

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#number-theory #diophantine-equations
78
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Enumerating all $x$ such that $b^n$ divides $x^2-x$

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#modular-arithmetic #diophantine-equations
404
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A diophantine equation $x^3+y^3-xy^2=1$

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#diophantine-equations
641
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Diophantine with Gaussian Integer

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#diophantine-equations
863
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Proving a statement regarding a Diophantine equation

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#number-theory #elementary-number-theory #prime-numbers #diophantine-equations #parity
395
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Does this equation have infinitely many solutions?

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#number-theory #diophantine-equations
157
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Minimal bivariate diophantine equation solution space

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#polynomials #diophantine-equations
143
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Approach to elliptic curve $y^2=x^3+1/4+p/a^2$

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#number-theory #prime-numbers #diophantine-equations #elliptic-curves #mordell-curves
461
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Under what situations does $x+1$ divide $4n^2-x$?

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#diophantine-equations
945
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Finding solutions to $(4x^2+1)(4y^2+1) = (4z^2+1)$

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#diophantine-equations
230
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diophantine equation with squares over 3 variables

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#number-theory #diophantine-equations
1.6k
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$|2^x-3^y|=1$ has only three natural pairs as solutions

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#number-theory #diophantine-equations
618
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On the Diophantine equation $a^2+b^2 = c^2+k$

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#number-theory #limits #diophantine-equations
4.9k
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All integer solutions for $x^4-y^4=15$

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#diophantine-equations

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