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A124365 Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself. 4
2, 3, 4, 5, 6, 17, 20, 22, 25, 26, 31, 34, 35, 40, 43, 45, 53, 58, 63, 64, 68, 71, 81, 82, 85, 86, 91, 94, 97, 98, 103, 104, 117 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Subset of A124359

LINKS

Table of n, a(n) for n=1..33.

EXAMPLE

31^7=27512614111 and 2+7+5+1+2+6+1+4+1+1+1=31. This is possible only with 7 as exponent.

97^10=73742412689492826049 and 7+3+7+4+2+4+1+2+6+8+9+4+9+2+8+2+6+4+9=97. This is possible only with 10 as exponent.

CROSSREFS

Cf. A124359, A124360, A124361, A124362, A046019, A124364.

Sequence in context: A228730 A062932 A166098 * A115896 A116018 A297181

Adjacent sequences:  A124362 A124363 A124364 * A124366 A124367 A124368

KEYWORD

nonn,base

AUTHOR

Paolo P. Lava and Giorgio Balzarotti, Oct 30 2006

STATUS

approved

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Last modified August 24 03:51 EDT 2019. Contains 326260 sequences. (Running on oeis4.)