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1
2x^2+2x+1 divides (x+1)^n - r
2x^2+2x+1 divides (x+1)^n - r
Source:
October 30, 2005
trigonometry
number theory unsolved
number theory
Problem Statement
Find all pairs
(
n
,
r
)
(n,r)
(
n
,
r
)
with
n
n
n
a positive integer and
r
r
r
a real such that
2
x
2
+
2
x
+
1
2x^2+2x+1
2
x
2
+
2
x
+
1
divides
(
x
+
1
)
n
ā
r
(x+1)^n - r
(
x
+
1
)
n
ā
r
.
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