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Find all pairs of positive integers such that is a multiple of .
MATHEMATICS · Subjective · CBSE · Mathematics · Number Play · Number Play
Problem
Find all pairs
(
a
,
b
)
(a, b)
(
a
,
b
)
of positive integers such that
a
2017
+
b
a^{2017} + b
a
2017
+
b
is a multiple of
a
b
ab
ab
.
Related theory
Laws of Exponents
Real Number System
Number Theory Basics
Numbers in generalized form
Divisibility properties
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