A078244 Smallest multiple of n using only digits 0 and 5.

5, 50, 555, 500, 5, 5550, 5005, 5000, 555555555, 50, 55, 55500, 5005, 50050, 555, 50000, 55505, 5555555550, 55005, 500, 50505, 550, 550505, 555000, 50, 50050, 5505555555, 500500, 5505505, 5550, 555055, 500000, 555555, 555050, 5005

Offset: 1

Author

Amarnath Murthy, Nov 23 2002

Keywords

• base
• nonn

Comments

a(n) = min{A169964(k): k > 1 and A169964(k) mod n = 0}. [Reinhard Zumkeller, Jan 10 2012]

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 1..998

Crossrefs

Cf. A004290, A078241-A078248, A079339, A096681-A096688.

Programs

Haskell

a078244 n = head [x | x <- tail a169964_list, mod x n == 0]
-- Reinhard Zumkeller, Jan 10 2012

Mathematica

Module[{mlts=Rest[FromDigits/@Tuples[{0,5},12]]},Table[ SelectFirst[ mlts,Divisible[ #,n]&],{n,40}]] (* Harvey P. Dale, Aug 14 2021 *)

Extensions

More terms from Ray Chandler, Jul 12 2004