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).

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

Offset

1,1

Links

Donovan Johnson, Table of n, a(n) for n = 1..1000

Patrick Costello, A new largest Smith number, Fibonacci Quarterly 40(4) (2002), 369-371.

Underwood Dudley, Smith numbers, Mathematics Magazine 67(1) (1994), 62-65.

S. S. Gupta, Smith Numbers, Mathematical Spectrum 37(1) (2004/5), 27-29.

S. S. Gupta, Smith Numbers.

Eric Weisstein's World of Mathematics, Smith number.

Wikipedia, Smith number.

A. Wilansky, Smith Numbers, Two-Year College Math. J. 13(1) (1982), p. 21.

Amin Witno, Another simple construction of Smith numbers, Missouri J. Math. Sci. 22(2) (2010), 97-101.

Amin Witno, Smith multiples of a class of primes with small digital sum, Thai Journal of Mathematics 14(2) (2016), 491-495.

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

Cf. A006753 (Smith numbers), A176670, A174460, A178213, A178193, A178204.

Sequence in context: A256732 A078519 A187171 * A152869 A251960 A234663

Adjacent sequences: A178200 A178201 A178202 * A178204 A178205 A178206

Keyword

nonn,base

Author

Paul Weisenhorn, Dec 19 2010

Extensions

a(21) corrected by Donovan Johnson, Jan 02 2013

Status

approved