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Find the remainder (
Posted on 20150109
)
A. Determine the remainder when 5^(5^5) is divided by 13.
B. Determine the remainder when 9^(9^9) is divided by 41.
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Submitted by
K Sengupta
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Comment 3 of 3 
Powers of 5 mod13 cycle through 5,1,5,1 so 5^5 = 5^1 mod13 and 5^(5^5) = 5.
Powers of 9 mod41 cycle through 9,1,9,1 so 9^9 = 9^1 mod 41 and 9^(9^9) = 9.
Posted by
xdog
on 20150109 10:56:25
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