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A105649 Smallest member of set of 4 consecutive numbers which are Smith numbers. 2
4463535, 6356910, 8188933, 9425550, 11148564, 15966114, 15966115, 18542654, 21673542, 22821992, 23767287, 28605144, 36615667, 39227466, 47096634, 47395362, 48072396, 54054264, 55464835, 57484614, 57756450, 57761165, 58418508, 61843387, 62577157, 64572186, 65484066 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..1000

S. S. Gupta, Smith Numbers.

EXAMPLE

a(1) = 4463535 because 4463535 is the smallest member of a set of 4 consecutive numbers which are Smith numbers i.e. four consecutive numbers 4463535, 4463536, 4463537, 4463538 are all Smith numbers.

MATHEMATICA

digSum[n_] := Plus @@ IntegerDigits[n]; smithQ[n_] := CompositeQ[n] && Plus @@ (Last @#* digSum[First@#] & /@ FactorInteger[n]) == digSum[n]; sm = smithQ /@ Range[4]; seq = {}; Do[sm = Join[Rest[sm], {smithQ[k]}]; If[And @@ sm, AppendTo[seq, k - 3]], {k, 5, 10^7}]; seq (* Amiram Eldar, Aug 18 2020 *)

CROSSREFS

Cf. A006753, A050219, A059754, A105648, A105650.

Sequence in context: A019288 A237910 A244575 * A015337 A339536 A319064

Adjacent sequences:  A105646 A105647 A105648 * A105650 A105651 A105652

KEYWORD

nonn,base

AUTHOR

Shyam Sunder Gupta, May 03 2005

EXTENSIONS

a(7) inserted and more terms added by Amiram Eldar, Aug 18 2020

STATUS

approved

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Last modified January 23 18:30 EST 2021. Contains 340386 sequences. (Running on oeis4.)