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Denis Shatrov's user avatar
Denis Shatrov's user avatar
Denis Shatrov's user avatar
Denis Shatrov
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17
On the equation $9x^3+y^3=z^2+3$
Feb 19
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13
Positive integers such that $(x+y)(xy-1)=z^2+1$
Aug 18, 2023
question
9
Representation of a residue modulo prime as a specific product
Jul 25, 2023
answer
7
Can you solve the listed smallest open Diophantine equations?
Feb 2
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6
$y^3=x^4+x$, and computing all rational points on rank $0$ Picard curves
Jul 3, 2023
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5
3-dimensional Boolean cube of Squares
Aug 18, 2023
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4
Density of a set of natural numbers which are the product of close numbers
Jul 6, 2023
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4
Hilbert 10th problem for cubic equations
Aug 21, 2023
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4
A cubic equation, and integers of the form $a^2+32b^2$
Dec 13, 2023
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3
Representing $x^3-2$ as a sum of two squares
Sep 6, 2023
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10
Is $7$ the largest possible value of $n$ for which $(1!+2!+3!+…n!)+16$ is a perfect power?
6
Find a positive integer $n$,$m$, $p$, $q$ ($p \neq q$, $m>1$) such that $p$ and $q$ divide $mn^2 - 1$ and $mn$ divides $p - q$.
5
Prime squares of the form $a^2+b^4$
5
Even $k$ such that $x^k \equiv -1 \mod k+1$ has solutions