A371086 Nonsquarefree numbers k such that A003557(k) divides A276086(k), where A003557(k) is k divided by its largest squarefree divisor, and A276086 is the primorial base exp-function.

9, 25, 45, 49, 50, 63, 75, 98, 99, 117, 147, 153, 171, 175, 207, 225, 242, 245, 261, 279, 294, 315, 325, 333, 343, 350, 363, 369, 375, 387, 423, 475, 477, 490, 495, 525, 531, 539, 549, 550, 585, 603, 605, 625, 639, 650, 657, 693, 711, 726, 735, 747, 765, 775, 801, 819, 825, 833, 847, 850, 855, 873, 909, 925, 927, 931

Offset: 1

Author

Antti Karttunen, Mar 12 2024

Keywords

• nonn

Links

• Antti Karttunen, Table of n, a(n) for n = 1..10000
• Index entries for sequences related to primorial base

Crossrefs

Intersection of A013929 and A371088.

Cf. A003557, A276086, A371085 (subsequence).

Programs

PARI

A003557(n) = (n/factorback(factor(n)[, 1]));
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
isA371086(n) = (!issquarefree(n) && !(A276086(n)%A003557(n)));