A116957 Lynch-Bell numbers n such that 5 is a digit of n.

5, 15, 135, 175, 315, 735, 1395, 1935, 3195, 3915, 9135, 9315

Offset: 1

Author

Walter Kehowski, Apr 03 2006

Keywords

• fini
• full
• base
• nonn

Comments

A Lynch-Bell number is a positive integer n with distinct nonzero digits such that each of its digits divides the number: n mod d = 0 if d is a digit of n.

Examples

			a(3)=135 since 135 is the third Lynch-Bell number that contains a 5.
		

Crossrefs

Cf. A115569, A034838, A034709, A063527.

Programs

Mathematica

lbn5Q[n_]:=Module[{idn=IntegerDigits[n]},MemberQ[idn,5]&&FreeQ[idn,0]&&Max[DigitCount[n]]==1&&AllTrue[n/idn,IntegerQ]]; Select[Range[ 10000],lbn5Q] (* The program uses the AllTrue function from Mathematica version 10 *) (* Harvey P. Dale, Aug 19 2019 *)