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1965 German National Olympiad
2
which of 2,3,5,7,11,13,109,151,491 divides z =1963^{1965} -1963
which of 2,3,5,7,11,13,109,151,491 divides z =1963^{1965} -1963
Source: Germany 1965 p2
February 21, 2020
number theory
divides
Problem Statement
Determine which of the prime numbers
2
,
3
,
5
,
7
,
11
,
13
,
109
,
151
,
491
2,3,5,7,11,13,109,151,491
2
,
3
,
5
,
7
,
11
,
13
,
109
,
151
,
491
divide
z
=
196
3
1965
ā
1963
z =1963^{1965} -1963
z
=
196
3
1965
ā
1963
.
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