0^5 = 0 1^5 = 1 2^5 = 32 3^5 = 243 4^5 = 1024 5^5 = 3125 6^5 = 7776 7^5 = 16807 8^5 = 32768 9^5 = 59049 q.e.d.
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Does that work in any bases other than 10?
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No. I just tried it, it fails in base 4, 7, 8, 9 (for n < 10000, and bases less than 10).
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@tweetsauce so the last digit of 130691232 is 42?
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The digit thing is an artifact of 5 dividing the base, 10, but the more general rule, Fermat's Little Theorem, shouldn't depend on base.
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Love a good math tweet
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Aka n^5 = n (mod 10).
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