A381037 Numbers with a digit > 1 in their primorial base expansion that are multiples of the corresponding radix primes of all such digits.

15, 20, 25, 45, 50, 55, 63, 91, 98, 105, 126, 140, 175, 182, 189, 225, 230, 235, 255, 260, 265, 273, 301, 308, 315, 336, 350, 385, 392, 399, 429, 440, 451, 638, 660, 693, 770, 847, 1056, 1089, 1100, 1155, 1232, 1298, 1386, 1485, 1507, 1683, 1705, 1716, 1771, 1892, 2079, 2101, 2145, 2325, 2330, 2335, 2355, 2360, 2365

Offset: 1

Author

Antti Karttunen, Feb 17 2025

Keywords

• nonn

Comments

Numbers k such that A328572(k) > 1 and A007947(A328572(k)) divides k.

Examples

			For n=75, A049345(75) = 2211, with two digits > 1. Their corresponding radix primes are 5 and 7, but as 75 is a multiple of only 5 but not of 7, 75 is NOT included in this sequence.
For n = 105, A049345(105) = 3211, with two digits > 1. Their corresponding radix primes are 5 and 7 that both divide 105, therefore 105 is included.
		

Links

• Antti Karttunen, Table of n, a(n) for n = 1..12121
• Index entries for sequences related to primorial base.

Crossrefs

Subsequence of A381034, thus subsequence of the intersection A177711 and A381035.

Cf. A003557, A007947, A049345, A276086, A328572, A381036 (characteristic function).

Cf. also A380527.

Programs

PARI

is_A381037 = A381036;