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2023 LMT Spring
10
2023 LMT Spring Accuracy Problem 10
2023 LMT Spring Accuracy Problem 10
Source:
September 29, 2023
number theory
Problem Statement
Positive integers
a
a
a
,
b
b
b
, and
c
c
c
satisfy
a
2
+
b
2
=
c
3
−
1
a^2 +b^2 = c^3 -1
a
2
+
b
2
=
c
3
−
1
where
c
≤
40
c \le 40
c
≤
40
. Find the sum of all distinct possible values of
c
c
c
.
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