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

%I A381037 #14 Feb 17 2025 14:28:15
%S A381037 15,20,25,45,50,55,63,91,98,105,126,140,175,182,189,225,230,235,255,
%T A381037 260,265,273,301,308,315,336,350,385,392,399,429,440,451,638,660,693,
%U A381037 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
%N A381037 Numbers with a digit > 1 in their primorial base expansion that are multiples of the corresponding radix primes of all such digits.
%C A381037 Numbers k such that A328572(k) > 1 and A007947(A328572(k)) divides k.
%H A381037 Antti Karttunen, <a href="/A381037/b381037.txt">Table of n, a(n) for n = 1..12121</a>
%H A381037 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>.
%e A381037 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.
%e A381037 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.
%o A381037 (PARI) is_A381037 = A381036;
%Y A381037 Subsequence of A381034, thus subsequence of the intersection A177711 and A381035.
%Y A381037 Cf. A003557, A007947, A049345, A276086, A328572, A381036 (characteristic function).
%Y A381037 Cf. also A380527.
%K A381037 nonn
%O A381037 1,1
%A A381037 _Antti Karttunen_, Feb 17 2025