A256869 -id:A256869 - 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)

A256870 Numbers divisible by prime(d+1) for each digit d of their base-10 representation.

Original entry on oeis.org

0, 20, 44, 111, 120, 171, 200, 210, 220, 290, 440, 520, 1020, 1110, 1113, 1200, 1710, 1914, 2000, 2010, 2020, 2030, 2100, 2145, 2200, 2220, 2310, 2420, 2900, 3220, 3381, 4004, 4048, 4400, 4444, 5200, 5525, 6120, 7220, 8280, 9338

Offset: 1

M. F. Hasler, Apr 11 2015

A variant of A256786 where digits 0 are forbidden and divisibility by prime(d) is required.

See A256882 - A256884, A256866 - A256869 for the analog in bases 2, ..., 9.

			0 is divisible by prime(0+1)=2.
n = 1,...,9 are not divisible by prime(n+1) = 3, 5, ..., 29, respectively.
20 is divisible by prime(2+1)=5 and by prime(0+1)=2. The same is true for any other 2...20...0 =  2*10^k*(10^m-1)/9; k >= 1, m >= 0.
44 is divisible by prime(4+1)=11.

Cf. A256882, A256883, A256884, A256865 - A256869, A256874 - A256879, A256786.

is(n,b=10)=!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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