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Find the last digit of the number m - [IMO LongList 1971]
Find the last digit of the number m - [IMO LongList 1971]
Source:
January 1, 2011
least common multiple
number theory proposed
number theory
Problem Statement
Let
x
n
=
2
2
n
+
1
x_n=2^{2^{n}}+1
x
n
=
2
2
n
+
1
and let
m
m
m
be the least common multiple of
x
2
,
x
3
,
…
,
x
1971
.
x_2, x_3, \ldots, x_{1971}.
x
2
,
x
3
,
…
,
x
1971
.
Find the last digit of
m
.
m.
m
.
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