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A062634 Every divisor contains the digit 1. 8
1, 11, 13, 17, 19, 31, 41, 61, 71, 101, 103, 107, 109, 113, 121, 127, 131, 137, 139, 143, 149, 151, 157, 163, 167, 169, 173, 179, 181, 187, 191, 193, 197, 199, 211, 221, 241, 251, 271, 281, 311, 313, 317, 331, 341, 361, 401, 419, 421, 431, 451, 461, 491, 521 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

First composite term is 121. All powers of 11 are in the sequence. - Alonso del Arte, Sep 29 2013

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 1..10000

EXAMPLE

143 has divisors 1, 11, 13 and 143, all of which contain the digit 1.

MATHEMATICA

fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 525], fQ[#, 1] &] (* Robert G. Wilson v, Jun 11 2014 *)

PROG

(Haskell)

a062634 n = a062634_list !! (n-1)

a062634_list = filter

   (and . map ((elem '1') . show) . a027750_row) a011531_list

-- Reinhard Zumkeller, Feb 05 2012

CROSSREFS

Cf. A027750, subsequence of A011531; A206159 and A208270 are subsequences.

Sequence in context: A154981 A092912 A092911 * A239058 A208270 A206159

Adjacent sequences:  A062631 A062632 A062633 * A062635 A062636 A062637

KEYWORD

base,easy,nonn

AUTHOR

Erich Friedman, Jul 04 2001

EXTENSIONS

Offset corrected by Reinhard Zumkeller, Feb 05 2012

STATUS

approved

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Last modified May 27 06:24 EDT 2019. Contains 323599 sequences. (Running on oeis4.)