How would you find the most amount of unique rationals summed together, in the form of 1/x, that sum to 1, However your x has to be between 2-2023?
So basically 1/2 + 1/3 + 1/6 = 1
thats 3 rational numbers
I need to get the most amount of rational numbers that equal to 1 altogether, please let me know if any methods or anything, thanks
1 Answer
Join Matchmaticians Affiliate Marketing
Program to earn up to 50% commission on every question your affiliated users ask or answer.
- 1 Answer
- 100 views
- Pro Bono
Related Questions
- Find $a,b,c$ so that $\begin{bmatrix} 0 & 1& 0 \\ 0 & 0 & 1\\ a & b & c \end{bmatrix} $ has the characteristic polynomial $-\lambda^3+4\lambda^2+5\lambda+6=0$
- Find the null space of the matrix $\begin{pmatrix} 1 & 2 & -1 \\ 3 & -3 & 1 \end{pmatrix}$
- Integral of trig functions
- Prove that $tan x +cot x=sec x csc x$
- Does $\lim_{n \rightarrow \infty} \frac{2^{n^2}}{n!}$ exist?
- Fields and Galois theory
- Prove that $1+\frac{1}{\sqrt{2}}+\dots+\frac{1}{\sqrt{n}} \leq 2 \sqrt{n}-1$
- Algebra Word Problem #1
This is a challenging and very time consuming problem. A user who may want to answer it definitely deserves a bounty!
See the greedy algorithm for egyptian fractions : https://rosettacode.org/wiki/Greedy_algorithm_for_Egyptian_fractions#REXX