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Shocking Remainder

You may try to search for the answer by using mathematics engine, e.g. wolframaplha.

What's the remainder of division of \(23^5\) by \((3^5)^2\)?

Believe me, it will be quite shocking.

Note: I calculated and find that \(23^5 = 2 (\mod 3^6)\), so I was interested to try finding the largest power of 3 that divides \(23^5-2\). And...

Note by Gian Sanjaya
2 years, 1 month ago

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AH... I forgot, you all may re-share it without permittion

Gian Sanjaya - 2 years, 1 month ago

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Xavier Fernandez - 2 years, 1 month ago

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It's simply the reason why it's shocking, seriously.

Gian Sanjaya - 2 years, 1 month ago

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Can you have a solution to this problem? I mean without mathematics engine.

Renz Gamorot - 2 years, 1 month ago

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i just show a fact, not ask you to solv the problem. I just share a hidden fact and the you try to find the fact.

Gian Sanjaya - 2 years, 1 month ago

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Yea, my fault. I thought Im solving quizzes here but this was just a share or status somewhat like that. Thanks for answering!

Renz Gamorot - 2 years, 1 month ago

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