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Baltic Way
1997 Baltic Way
6
6
Part of
1997 Baltic Way
Problems
(1)
a^3,b^2,c suggestive diophantine equation
Source: Baltic Way 1997
1/28/2011
Find all triples
(
a
,
b
,
c
)
(a,b,c)
(
a
,
b
,
c
)
of non-negative integers satisfying
a
≥
b
≥
c
a\ge b\ge c
a
≥
b
≥
c
and
1
⋅
a
3
+
9
⋅
b
2
+
9
⋅
c
+
7
=
1997
1\cdot a^3+9\cdot b^2+9\cdot c+7=1997
1
⋅
a
3
+
9
⋅
b
2
+
9
⋅
c
+
7
=
1997
modular arithmetic
number theory proposed
number theory