Tags
Prizes
More
FAQ
Problem Lists
Definitions
Links
How to help
Go
Go
All
Random Solved
Random Open
SOLVED
Does every finite colouring of the integers have a monochromatic solution to $1=\sum \frac{1}{n_i}$ with $2\leq n_1<\cdots <n_k$?
#46
:
[ErGr80]
[Er95]
[Er96b]
[Er97c]
number theory
,
unit fractions
,
ramsey theory
The answer is yes, as proved by Croot
[Cr03]
.
See also
[298]
.
Previous
Next