

A178203


Smith numbers of order 5; composite numbers n such that sum of digits^5 equal sum of digits^5 of its prime factors without the numbers in A176670 that have the same digits as its prime factors (without the zero digits).


5



414966, 443166, 454266, 1274664, 1371372, 1701856, 1713732, 1734616, 1771248, 1858436, 1858616, 2075664, 2624976, 3606691, 3771031, 3771301, 4266914, 4414866, 4461786, 4605146, 4670576, 4710739, 5209663, 5281767, 5434572, 5836565, 5861712, 5871968, 6046357
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OFFSET

1,1


LINKS

Underwood Dudley, Smith numbers, Mathematics Magazine 67(1) (1994), 6265.
S. S. Gupta, Smith Numbers, Mathematical Spectrum 37(1) (2004/5), 2729.
A. Wilansky, Smith Numbers, TwoYear College Math. J. 13(1) (1982), p. 21.


EXAMPLE

a(10) = 1858436 = 2*2*29*37*433;
1^5 + 3^5 + 4^5 + 5^5 + 6^5 + 2*8^5 = 3*2^5 + 3*3^5 + 4^5 + 7^5 + 9^5 = 77705.


CROSSREFS



KEYWORD

nonn,base


AUTHOR



EXTENSIONS



STATUS

approved



