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PEN H Problems
81
81
Part of
PEN H Problems
Problems
(1)
H 81
Source:
5/25/2007
Find a pair of relatively prime four digit natural numbers
A
A
A
and
B
B
B
such that for all natural numbers
m
m
m
and
n
n
n
,
∣
A
m
−
B
n
∣
≥
400
\vert A^m -B^n \vert \ge 400
∣
A
m
−
B
n
∣
≥
400
.
modular arithmetic
number theory
relatively prime
Diophantine Equations