Mike Bennett's user avatar
Mike Bennett's user avatar
Mike Bennett's user avatar
Mike Bennett
  • Member for 13 years, 9 months
  • Last seen this week
22 votes
Accepted

How many solutions to $2^a + 3^b = 2^c + 3^d$?

19 votes
Accepted

Fermat-like equation $c^n=a^{2n}+a^n b^n + b^{2n}$

17 votes
Accepted

Binary expansion of squares

15 votes

Does this equation have more than one integer solution?

13 votes
Accepted

Intersection of $\{2^a 3^b 5^c 7^d\}$ and its translates

13 votes

Find all $m$ such $2^m+1\mid5^m-1$

13 votes
Accepted

Lower bound on # of nonzero digits in ternary expansions of powers of 2?

11 votes
Accepted

Integer Solutions of $x+y^n = y + x^m$ for $n < m$

9 votes
Accepted

Are there any solutions to $\frac{3^n - 2^n}{2^k-3^n} = N$

7 votes
Accepted

History question: Roth's theorem on approximating algebraic numbers...before Roth

6 votes
Accepted

${2}^{p}+{3}^{p}={a}^{n}$ , then n=1 for any p ?

6 votes

sum of binary and ternary digits

5 votes

Reference request - binary cubic forms and integral points on elliptic curves of $j$-invariant 0

5 votes

Coprime integer solutions to $ \frac{x^n \pm y^n}{x \pm y}=z^m $ with $n>5 , m>1$

5 votes

A sequence based on Catalan–Mihăilescu problem

5 votes

can we say that $(p^2+1)/2\ne p_0^2$ where $p$ is a Mersenne prime

4 votes

A problem on cubic Diophatine equations

4 votes

How often do two powers of 2 equal two powers of 10 (when summed)?

4 votes

Are twin primes the only solution to this equation?

4 votes
Accepted

Szpiro ratios of elliptic curves over $\mathbb{Q}$

4 votes

Existence of rational points on generalized Fermat quintics