MathDB
Problems
Contests
National and Regional Contests
Puerto Rico Contests
Puerto Rico Team Selection Test
2023 Puerto Rico Team Selection Test
1
a! +b! = 2^{c!}
a! +b! = 2^{c!}
Source: Puerto Rico TST 2023.2.1
March 24, 2024
number theory
Diophantine equation
diophantine
Problem Statement
Determine all triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers such that
a
!
+
b
!
=
2
c
!
.
a! +b! = 2^{c!} .
a
!
+
b
!
=
2
c
!
.
Back to Problems
View on AoPS