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New posts in Perfect Powers
Can $\frac{a^4}{b^3}$ be arbitary close to $1$?
May 02, 2021
Who can prove that a triangular number cannot be a cube, fourth power or fifth power?
May 02, 2021
Prove that every number of the sequence $49,4489,444889,\ldots$ is a perfect square
May 01, 2021
Is this a new method for finding powers?
Apr 30, 2021
Find last three nonzero digits of $1^1 \cdot 2^2 \cdot 3^3 \cdot ... \cdot 25^{25}$
Apr 30, 2021
Show that $1^7+7^7+13^7+19^7+23^7\equiv{0}\pmod{63}$
Apr 30, 2021
proof - Show that $1! +2! +3!+\cdots+n!$ is a perfect power if and only if $n=3$
Apr 29, 2021
Can $10^n+89$ ever be a Perfect Square for $n>3$?
Apr 29, 2021
Prove that $n^2 + 2^n$ is composite if $n\not\equiv3\pmod{6}$.
Apr 28, 2021
If $ a + b + c \mid a^2 + b^2 + c^2$ then $ a + b + c \mid a^n + b^n + c^n$ for infinitely many $n$
Apr 28, 2021
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