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Malaysia National Olympiad
2019 Malaysia National Olympiad
6
6
Part of
2019 Malaysia National Olympiad
Problems
(1)
Prime factors
Source: Malaysia National Math Olympiad - Sulong Problem 6
10/26/2019
It is known that
2018
(
201
9
39
+
201
9
37
+
.
.
.
+
2019
)
+
1
2018(2019^{39}+2019^{37}+...+2019)+1
2018
(
201
9
39
+
201
9
37
+
...
+
2019
)
+
1
is prime. How many positive factors does
201
9
41
+
1
2019^{41}+1
201
9
41
+
1
have?
prime factorization
algebra