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

1,2

Comments

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

Links

Table of n, a(n) for n=1..27.

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Prog

(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]<f[i, 2])), return(0))); (1); };
isA324579(n) = A322585(A324580(n));

Crossrefs

Subsequence of A324578.

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

Sequence in context: A317087 A100778 A368325 * A271520 A122408 A326037

Adjacent sequences: A324576 A324577 A324578 * A324580 A324581 A324582

Keyword

nonn,more

Author

Antti Karttunen, Mar 09 2019

Status

approved