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2015 JBMO Shortlist
NT5
NT5
Part of
2015 JBMO Shortlist
Problems
(1)
Number theory easy
Source: JBMO shortlist 2015
5/22/2016
Check if there exists positive integers
a
,
b
a, b
a
,
b
and prime number
p
p
p
such that
a
3
ā
b
3
=
4
p
2
a^3-b^3=4p^2
a
3
ā
b
3
=
4
p
2
number theory
prime numbers
modular arithmetic
number theory proposed
number theory unsolved