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Mathematics
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TheRandomGuy
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I am just a random guy interested in mathematics, programming and other things that make sense.

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20
Prove the fractions aren't integers
May 26, 2016
11
Solve for integers $x, y, z$ such that $x + y = 1 - z$ and $x^3 + y^3 = 1 - z^2$.
May 30, 2016
11
Prove that there are infinitely many integers n such that $4n^2+1$ is divisible by both $13$ and $5$
Mar 19, 2016
10
proof - Bézout Coefficients are always relatively prime
Feb 28, 2016
9
Find all integral solutions for the Diophantine Equations $x^4 - x^2y^2 + y^4 = z^2$ and $x^4 + x^2y^2 + y^4 = z^2$.
Apr 26, 2016
9
Prove that the equation $3^k = m^2 + n^2 + 1$ has infinitely many solutions in positive integers.
Mar 29, 2016
8
Prove that for some $x, y \in \mathbb{Z}^+$, if $(x-1)(y-1), xy, (x+1)(y+1)$ are all squares then $x = y$.
Jun 16, 2016
8
If $a$ is not divisible by $7$, then $a^3 - 1$ or $a^3 + 1$ is divisible by $7$
May 10, 2016
8
Show that $x^2 + y^2$ and $x^2 - y^2$ cannot both be perfect squares at the same time where $x, y \in \mathbb{Z}^+$.
Apr 22, 2016
7
Find all odd $n \in \mathbb{Z}^+$ such that $n\mid 3^n+1$.
May 30, 2016
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I had answered a question yesterday. Today it shows deleted for purposes. Why?
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Python Steganographer using PIL