A392606 Intersection of A392605 and A392611.

421, 422, 426, 450, 2315, 2321, 2323, 2324, 2345, 2371, 2372, 2376, 2731, 4621, 4622, 4623, 4625, 4626, 4627, 4628, 4650, 4651, 4652, 4656, 4830, 4831, 4832, 4836, 6931, 6932, 6936, 6960, 30035, 30041, 30043, 30044, 30045, 30047, 30049, 30050, 30051, 30055, 30065, 30071, 30073, 30074, 30075, 30091, 30092, 30093

Offset

1,1

Comments

It is conjectured that this has no common terms with A380527, even though both are subsequences of A381035.

Links

Antti Karttunen, Table of n, a(n) for n = 1..37782

Index entries for sequences related to primorial base.

Formula

{k such that A327860(k) <= k, A276088(k) = 1 and A328114(k) > 1}.

Prog

(PARI)
is_A392605(k) = { my(n=k, s=0, m=1, p=2, e); while(n, e = (n%p); m *= (p^e); s += (e/p); if((s*m)>k, return(0)); n = n\p; p = nextprime(1+p)); ((s*m)<=k); };
is_A392611(n) = { my(p=2, e=0); while(n, if(n%p, e++; if(n%p > 1, return(e>1))); n \= p; p = nextprime(1+p)); (0); };
is_A392606(n) = (is_A392611(n) && is_A392605(n));

Crossrefs

Cf. A276088, A327860, A328114, A380527.

Intersection of A392605 and A392611, thus also a subsequence of A381035.

Sequence in context: A028683 A198163 A014890 * A159589 A031784 A268859

Adjacent sequences: A392603 A392604 A392605 * A392607 A392608 A392609

Keyword

nonn,base

Author

Antti Karttunen, Jan 23 2026

Status

approved