The On-Line Encyclopedia of Integer Sequences (OEIS)

A062672 revision #12

A062672

Composite and every divisor (except 1) contains the digit 5.

25, 125, 265, 295, 625, 755, 785, 1255, 1285, 1325, 1475, 1765, 1795, 2285, 2515, 2545, 2605, 2615, 2705, 2735, 2785, 2815, 2845, 2855, 2885, 2935, 2965, 2995, 3125, 3265, 3295, 3755, 3775, 3785, 3925, 4265, 4285, 4295, 4765, 5255, 5755, 5765, 6275

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OFFSET

1,1

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..10000

EXAMPLE

25 has divisors 1, 5 and 25, all of which contain the digit 5.

MATHEMATICA

fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 6300], !PrimeQ[#] && fQ[#, 5] &] (* Robert G. Wilson v, Jun 11 2014 *)

CROSSREFS

Cf. A062653, A062664, A062667, A062668, A062669, A062670, A062671, A062673, A062674, A062675, A062676, A062677, A062678, A062679, A062680.

Sequence in context: A146945 A044357 A044738 * A036321 A289337 A211581

Adjacent sequences: A062669 A062670 A062671 * A062673 A062674 A062675

KEYWORD

base,easy,nonn

AUTHOR

Erich Friedman, Jul 04 2001

EXTENSIONS

Offset corrected by Amiram Eldar, Nov 07 2019

STATUS

reviewed