id:A124365 - OEIS Search Results

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Numbers that raised to only one specific exponent gives a result for which the sum of its digits is equal to number itself.

+0
5

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; listen)

	OFFSET	`1,1`
	COMMENT	`Subset of A124359`
	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: A004835 A037341 A062932 this_sequence A115896 A116018 A048095` `Adjacent sequences: A124362 A124363 A124364 this_sequence A124366 A124367 A124368`
	KEYWORD	`nonn,base`
	AUTHOR	`Paolo P. Lava & Giorgio Balzarotti (ppl(AT)spl.at), Oct 30 2006`

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Last modified July 23 17:35 EDT 2008. Contains 142285 sequences.

AT&T Labs Research