A352382 - OEIS

%I #13 Mar 16 2022 03:18:36

%S 74,76,86,94,98,134,146,152,156,158,166,172,174,178,194,196,614,674,

%T 676,686,694,698,734,740,746,752,754,758,766,772,778,794,796,806,814,

%U 818,866,874,878,886,894,898,926,934,938,946,954,958,974,978,986,998,1214,1276,1286,1294,1298,1334,1340

%N Numbers k such that no nonzero digit of 5*k divides 5*k.

%C Only even terms (see the last line of the Example section to understand why).

%e a(1) = 74 and 5*74 = 370 is not divisible by 3, 7 or 0;

%e a(2) = 76 and 5*76 = 380 is not divisible by 3, 8 or 0;

%e a(3) = 86 and 5*86 = 430 is not divisible by 4, 3 or 0;

%e a(4) = 94 and 5*94 = 470 is not divisible by 4, 7 or 0; etc.

%e 93 is not in the sequence as 5*93 = 465 is divisible by 5.

%t q[n_] := AllTrue[IntegerDigits[5*n], # == 0 || !Divisible[5*n, #] &]; Select[Range[1340], q] (* _Amiram Eldar_, Mar 14 2022 *)

%o (Python)

%o def ok(n): return not any(5*n%int(d)==0 for d in set(str(5*n)) if d!='0')

%o print([k for k in range(1, 1277) if ok(k)]) # _Michael S. Branicky_, Mar 14 2022

%Y Cf. A038772, A352379, A352380, A352381.

%K base,nonn

%O 1,1

%A _Eric Angelini_ and _Carole Dubois_, Mar 14 2022