I can't tell if you were being sarcastic with this being a good example
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i wrote a python script to find every automorphic number less than a million and got these: 0, 1, 5, 6, 25, 76, 376, 625, 9376, 90625, 109376, 890625 so there are some examples that you might think are better
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Should we consider 1 as the smallest such number or 6 ?
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donno about considering 1 , but 5 is definitely smaller than 6 :p
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6² = 3 6
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There is no restriction on A as per what they have given so probably correct
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Here's a 100-digit automorphic number from Mr. R. A. Fairbairn of Toronto: 6,046,992,680,891,830,197,061,490,109,937,833,490, 419,136,188,999,442,576,576,769,103,890,995,893, 380,022,607,743,740,081,787,109,376
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If you truncate the number from left, or take the 10^1+1 converse of any such truncated one, then you will get another such number. Each bigger number can be incrementally found from the smaller. What is the significance of the endless series? 5 6 25 76 etc. For n=2 of course.
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The last two digits of any automorphic number in base ten where a>100 cannot be anything other than 00, 01, 25, or 76.
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Oh I like this! So the same is true for xx376, xx625...
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