13 lines
593 B
Text
13 lines
593 B
Text
A number n is a self number if there is no number g such that g + the sum of g's digits = n. So 18 is not a self number because 9+9=18, 43 is not a self number because 35+5+3=43.
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<br>
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The task is:
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Display the first 50 self numbers;
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I believe that the 100000000th self number is 1022727208. You should either confirm or dispute my conjecture.
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2<sup>24036583</sup>-1 is a Mersenne prime, claimed to also be a self number. Extra credit to anyone proving it.<BR>
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;See also:
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;*[[oeis:A003052|OEIS: A003052 - Self numbers or Colombian numbers]]
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;*[[wp:Self_number|Wikipedia: Self numbers]]
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