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Three Power Remainder (Posted on 2012-04-14)

Find the remainder when 3²⁰¹² 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 2012-04-15 03:53:18

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