List questions from perfect-powers

Published on 11 Apr 2026 - 6:12

306

Views

If $n^2+11$ is a prime then $n+4$ is not a cube

Published on 15 Apr 2026 - 12:09

106

Views

What values can $2^j-3^k$ have?

Published on 10 Apr 2026 - 19:01

159

Views

First decimal digit of a very large number.

Published on 15 Apr 2026 - 21:16

27

Views

Perfect square sequences starting at different offsets, how do I find intersections?

Published on 09 Apr 2026 - 21:30

60

Views

Are there arbitary large non-trivial powers NOT containing all digits?

Published on 13 Apr 2026 - 18:11

135

Views

Are there arbitary large $b$ such that the diophantine equation $a^3-n\cdot b^3=1$ has a solution?

Published on 14 Apr 2026 - 19:08

950

Views

Who can prove that a triangular number cannot be a cube, fourth power or fifth power?

Published on 15 Apr 2026 - 4:12

199

Views

Proof involving integer squares and parity

Published on 12 Apr 2026 - 6:44

76

Views

Is it known whether a triangular number can be any power with exponent greater than $2$?

Published on 13 Apr 2026 - 20:09

300

Views

Number of powers modulo prime

Published on 15 Apr 2026 - 10:02

661

Views

Can we prove that there are no two perfect powers with difference $6$?

Published on 12 Apr 2026 - 23:46

1.5k

Views

If $a^3+a^2+a=9b^3+b^2+b$ and $a,b$ are integers then show $a-b$ is a perfect cube.

Published on 15 Apr 2026 - 21:04

98

Views

Is there an easy criterion whether a number is the sum of a square and a cube?

Published on 10 May 2026 - 17:16

205

Views

Can $n!+16$ be a perfect square when $n\geq5$?

Published on 10 Apr 2026 - 16:35

List Question

Prove that given fraction is power of two

If $n^2+11$ is a prime then $n+4$ is not a cube

What values can $2^j-3^k$ have?

First decimal digit of a very large number.

Perfect square sequences starting at different offsets, how do I find intersections?

Are there arbitary large non-trivial powers NOT containing all digits?

Are there arbitary large $b$ such that the diophantine equation $a^3-n\cdot b^3=1$ has a solution?

Who can prove that a triangular number cannot be a cube, fourth power or fifth power?

Proof involving integer squares and parity

Is it known whether a triangular number can be any power with exponent greater than $2$?

Number of powers modulo prime

Can we prove that there are no two perfect powers with difference $6$?

If $a^3+a^2+a=9b^3+b^2+b$ and $a,b$ are integers then show $a-b$ is a perfect cube.

Is there an easy criterion whether a number is the sum of a square and a cube?

Can $n!+16$ be a perfect square when $n\geq5$?

Trending Questions

Popular # Hahtags

Popular Questions