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Purple Comet Problems
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24
Purple Comet 2016 HS Problem 24
Purple Comet 2016 HS Problem 24
Source:
April 12, 2018
Purple Comet
Problem Statement
Find the largest prime
p
p
p
such that
p
p
p
divides
2
p
+
1
+
3
p
+
1
+
5
p
+
1
+
7
p
+
1
2^{p+1} + 3^{p+1} + 5^{p+1} + 7^{p+1}
2
p
+
1
+
3
p
+
1
+
5
p
+
1
+
7
p
+
1
.
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