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Three Power Remainder (
Posted on 20120414
)
Find the remainder when 3
^{2012}
is divided by 2012.
*** For an extra challenge, solve this puzzle without using a computer program.
No Solution Yet
Submitted by
K Sengupta
Rating:
4.0000
(1 votes)
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possible solution
 Comment 1 of 4
Using (P^4)^Q mod(4Q) congruent to P^4 for sufficiently large prime Q, e.g. 503, the remainder is 3^4 or 81.
Edited on
April 15, 2012, 4:35 am
Posted by
broll
on 20120415 03:53:18
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