A256878 -id:A256878 - cp's OEIS frontend

A256879 Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero.

10, 30, 195, 275, 280, 364, 429, 546, 646, 820, 840, 1000, 1144, 1360, 1560, 1650, 2280, 2370, 2440, 2460, 2640, 2730, 3010, 3740, 4114, 4940, 5236, 5928, 6555, 7800, 8018, 8130, 8850, 8940, 8970, 9030, 9100, 9660, 9730, 9814, 10868, 11050, 11076, 14352, 14700, 14820, 15015, 15420, 18564, 20670, 21090, 21405, 22225

Offset: 1

M. F. Hasler, Apr 11 2015

Base-9 analog of A256786. See A256874 - A256878 for the base-3, ..., base-8 analogs.

See A256869 for a variant where divisibility by prime(d+1) is required instead.

Cf. A256786, A256874 - A256878, A256869, A256865 - A256870.

is(n,b=9)=!for(i=1,#d=Set(digits(n,b)),(!d[i]||n%prime(d[i]))&&return)

A256868 Numbers divisible by prime(d+1) for each digit d of their base-8 representation.

Original entry on oeis.org

0, 9, 33, 57, 72, 130, 210, 264, 456, 570, 576, 585, 660, 969, 1040, 1050, 1170, 1365, 1540, 1680, 1995, 2112, 2145, 2508, 2600, 2730, 2860, 2925, 3366, 3648, 3705, 4047, 4104, 4170, 4356, 4488, 4560, 4608, 4620, 4680, 4683, 4809, 4998, 5130, 5250, 5265, 5280, 6825, 7752, 8210, 8320, 8400, 8850, 9240, 9350, 9360, 9555

Offset: 1

M. F. Hasler, Apr 11 2015

The base-8 variant of A256882 - A256884, A256866 - A256870 in bases 2, ..., 10.

A variant of A256878 where digits 0 are forbidden and divisibility by prime(d) is required.

Cf. A256882, A256883, A256884, A256865 - A256870, A256874 - A256879, A256786.

Select[Range[0,10000],And@@Divisible[#,Prime[IntegerDigits[#,8]+1]]&] (* Harvey P. Dale, May 06 2015 *)

is(n,b=8)=!for(i=1,#d=Set(digits(n,b)),n%prime(d[i]+1)&&return)

cp's OEIS Frontend

A256879 Numbers divisible by prime(d) for each digit d in their base-9 representation, none of which may be zero.

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