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 A328232 Numbers whose arithmetic derivative (A003415) is a primorial number, including cases where it is the first primorial, A002110(0) = 1. 4
 2, 3, 5, 7, 9, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 161, 163, 167, 173, 179, 181, 191, 193, 197, 199, 209, 211, 221, 223, 227, 229, 233, 239, 241, 251, 257, 263, 269, 271, 277, 281, 283, 293, 307, 311, 313, 317 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Numbers n such that A327859(n) = A276086(A003415(n)) is a prime. LINKS Antti Karttunen, Table of n, a(n) for n = 1..10000 PROG (PARI) A003415(n) = if(n<=1, 0, my(f=factor(n)); n*sum(i=1, #f~, f[i, 2]/f[i, 1])); A276086(n) = { my(i=0, m=1, pr=1, nextpr); while((n>0), i=i+1; nextpr = prime(i)*pr; if((n%nextpr), m*=(prime(i)^((n%nextpr)/pr)); n-=(n%nextpr)); pr=nextpr); m; }; A327859(n) = A276086(A003415(n)); isA328232(n) = isprime(A327859(n)); CROSSREFS Cf. A002110, A003415, A024451 (arith. deriv. of primorials), A068346, A276086, A327859, A328233. Union of A000040 and A327978 (gives the composite terms). Differs from A189710 for the first time by having term a(39) = 161, which is not included in A189710, while A189710(44) = 185 is the first term in latter that is not included here. Sequence in context: A318589 A132630 A033946 * A189710 A024678 A265384 Adjacent sequences:  A328229 A328230 A328231 * A328233 A328234 A328235 KEYWORD nonn AUTHOR Antti Karttunen, Oct 09 2019 STATUS approved

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Last modified March 31 19:37 EDT 2020. Contains 333151 sequences. (Running on oeis4.)