Coincidences in Powers of Integers

first power

2

3

4

5

second power

2

3

4

5

maximum value

50000

maximum difference to show

150

Explore whether there are integers for which

m

x

is very close to

n

y

, for different

x

,

y

and

m

,

n

. This question relates to current unsolved problems in number theory.

Each successive point is a difference

m

x

-

n

y

; the

x

and

y

used are given in the tooltip.