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2019 LIMIT Category B
Problem 7
1/a+1/b=4/2019 over N
1/a+1/b=4/2019 over N
Source: LIMIT 2019 CBS2 P7
April 28, 2021
Diophantine equation
number theory
Problem Statement
Find the number of ordered pairs of positive integers for which
1
a
+
1
b
=
4
2019
\frac1a+\frac1b=\frac4{2019}
a
1
+
b
1
=
2019
4
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