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2013 Online Math Open Problems
42
42
Part of
2013 Online Math Open Problems
Problems
(1)
2012-2013 Winter OMO #42
Source:
1/16/2013
Find the remainder when
∏
i
=
0
100
(
1
−
i
2
+
i
4
)
\prod_{i=0}^{100}(1-i^2+i^4)
i
=
0
∏
100
(
1
−
i
2
+
i
4
)
is divided by
101
101
101
.Victor Wang
Online Math Open
modular arithmetic
quadratics
algebra
polynomial
Putnam
number theory