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Asked by labarca - 9 months ago
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joensf Level 75
Answered 9 months ago
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1, 5, 6, 25, 76,

Automorphic (Curious)

Definition: The number n is called an automorphic number if (the decimal expansion of) n2 ends with n. These numbers are also called curious.
It is curious, how for a k-digit automorphic number n there is another automorphic number -- 10k + 1 - n. For this to work with n=1, you have to treat 1 as a zero-digit number.
First ten: 1, 5, 6, 25, 76, 376, 625, 9376, 90625, 109376
There are 8 automorphic numbers below 10,000.

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