A324579 Numbers n for which n*A276086(n) is a product of primorial numbers (is a term of A025487).

1, 2, 4, 6, 8, 16, 30, 36, 40, 72, 210, 240, 252, 256, 2310, 2520, 2560, 2592, 2808, 5184, 30030, 32832, 510510, 573300, 9699690, 223092870, 232792560

Offset: 1

Author

Antti Karttunen, Mar 09 2019

Keywords

• nonn
• more

Comments

Sequence is infinite because each primorial number (A002110) is present.

Links

• Index entries for sequences related to primorial base
• Index entries for sequences related to primorial numbers

Crossrefs

Subsequence of A324578.

Cf. A002110 (a subsequence), A025487, A276086, A324580, A322585.

Programs

PARI

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; };
A324580(n) = n*A276086(n);
A322585(n) = { my(f = factor(n)); for(i=1,#f~,if((primepi(f[i,1])!=i)||((i>1)&&(f[i-1,2]A324579(n) = A322585(A324580(n));