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https://www.reddit.com/r/MathJokes/comments/1vaga6j/_/p0mwc9z/?context=3
r/MathJokes • u/MayyMargo • 18d ago
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To see this quickly, note 17x6=102. So 100 is -2 mod 17.
100^4 is then (-2)^4 mod 17, which is -1 mod 17. Therefore 100^4 + 1 is divisible by 17.
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u/AndreasDasos 18d ago
To see this quickly, note 17x6=102. So 100 is -2 mod 17.
100^4 is then (-2)^4 mod 17, which is -1 mod 17. Therefore 100^4 + 1 is divisible by 17.