A324583 Numbers k such that k and A276086(k) are coprime, where A276086 is the primorial base exp-function.

0, 1, 2, 4, 5, 6, 7, 8, 11, 12, 13, 14, 16, 17, 18, 19, 22, 23, 24, 26, 28, 29, 30, 31, 32, 34, 36, 37, 38, 41, 43, 44, 46, 47, 48, 52, 53, 54, 58, 59, 60, 61, 62, 64, 65, 66, 67, 68, 71, 72, 73, 74, 76, 78, 79, 82, 83, 86, 88, 89, 90, 92, 94, 95, 96, 97, 101, 102, 103, 104, 106, 107, 108, 109, 113, 114, 116, 118, 120, 121

Offset

1,3

Comments

Numbers k for which A324198(k) = 1.

For terms k > 0 it holds that:

A000005(A324580(k)) = A000005(k) * A324655(k),

A000010(A324580(k)) = A000010(k) * A324650(k),

A000203(A324580(k)) = A000203(k) * A324653(k),

and similarly for any multiplicative function.

Links

Antti Karttunen, Table of n, a(n) for n = 1..10001

Index entries for sequences related to primorial base

Index entries for sequences related to primorial numbers

Prog

(PARI)
A276086(n) = { my(m=1, p=2); while(n, m *= (p^(n%p)); n = n\p; p = nextprime(1+p)); (m); };
A324198(n) = gcd(n, A276086(n));
for(n=0, oo, if(1==A324198(n), print1(n, ", ")));

Crossrefs

Cf. A324584 (complement), A356162 (characteristic function).

Cf. A276086, A324580, A324650, A324653, A324655.

Some subsequences are: A055932 ⊃ A025487 ⊃ A002182, and also A002110.

Subsequence of A356316.

Positions of 1's in A324198, positions 0's in A351254, A356302 and A356303, positions of fixed points in A351250 and in A356309.

Cf. also A355821, A356311.

Sequence in context: A271396 A070110 A049095 * A101742 A194831 A111688

Adjacent sequences: A324580 A324581 A324582 * A324584 A324585 A324586

Keyword

nonn

Author

Antti Karttunen, Mar 10 2019

Extensions

Initial 0 prepended by Antti Karttunen, Nov 03 2022

Status

approved