Coincidences in Powers of Integers
Explore whether there are integers for which
is very close to
, for different
,
and
,
. This question relates to current unsolved problems in number theory.
Each successive point is a difference
; the
and
used are given in the tooltip.
Contributed by:
Stephen Wolfram
X
X
X
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Nearby powers [and integer equations]
(
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)
"
Coincidences in Powers of Integers
" from
The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/CoincidencesInPowersOfIntegers/
Contributed by:
Stephen Wolfram
Number Theory
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Fractional Parts of Powers of Numbers
State Transition Diagrams for Modular Powers
Gauss Map
Music from the Rationals
The Pigeonhole Principle - Repunits
A Geometric Proof of the Square Pyramidal Number Formula
An Interval Eventually Bounding Trajectories of the Logistic Map
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