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 A062677 Numbers with property that every divisor (except 1) contains the digit 8. 18
 83, 89, 181, 281, 283, 383, 389, 487, 587, 683, 787, 809, 811, 821, 823, 827, 829, 839, 853, 857, 859, 863, 877, 881, 883, 887, 983, 1087, 1181, 1187, 1283, 1289, 1381, 1481, 1483, 1487, 1489, 1583, 1783, 1787, 1789, 1801, 1811, 1823, 1831, 1847, 1861 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Subsequence of A011538, numbers with an 8. - Michel Marcus, Nov 21 2015 LINKS Amiram Eldar, Table of n, a(n) for n = 1..10000 EXAMPLE 7387 has divisors 83, 89 and 7387, all of which contain the digit 8. MAPLE isA062677 := proc(n)     if n = 1 then         return false;     end if;     for d in numtheory[divisors](n) minus {1} do         convert(convert(d, base, 10), set) ;         if  not 8 in % then             return false;         end if;     end do:     true ; end proc: for n from 1 to 2000 do     if isA062677(n) then         printf("%d, ", n) ;     end if; end do: # R. J. Mathar, Mar 27 2017 MATHEMATICA fQ[n_, dgt_] := Union[ MemberQ[#, dgt] & /@ IntegerDigits@ Rest@ Divisors@ n][[1]]; Select[ Range[2, 1900], fQ[#, 8] &] (* Robert G. Wilson v, Jun 11 2014 *) CROSSREFS Cf. A062653, A062664, A062667, A062668, A062669, A062670, A062671, A062672, A062673, A062674, A062675, A062676, A062678, A062679, A062680. Sequence in context: A256520 A130286 A226380 * A284292 A045714 A090156 Adjacent sequences:  A062674 A062675 A062676 * A062678 A062679 A062680 KEYWORD base,easy,nonn AUTHOR Erich Friedman, Jul 04 2001 STATUS approved

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Last modified December 2 16:46 EST 2020. Contains 338877 sequences. (Running on oeis4.)