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2018 JBMO TST- Macedonia, problem 1

Source: 2018 JBMO TST- Macedonia

May 28, 2019

JMMOJunior2018Macedonianumber theory

Problem Statement

Determine all positive integers

n>2

, such that

n = a^3 + b^3

, where

a

is the smallest positive divisor of

n

greater than

1

and

b

is an arbitrary positive divisor of

n

.

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