A305348 a(n) is the smallest number k such that k * A002202(n) is not a term of A000010.

3, 7, 17, 15, 19, 5, 43, 19, 5, 17, 7, 167, 11, 3, 19, 67, 17, 17, 7, 5, 211, 7, 11, 13, 3, 139, 31, 9, 5, 109, 3, 85, 3, 61, 11, 7, 211, 11, 5, 7, 3, 31, 5, 31, 13, 353, 9, 31, 3, 71, 5, 3, 19, 317, 5, 3, 31, 167, 7, 7, 5, 71, 3, 59, 3, 53, 17, 5, 211, 11, 3, 17, 43, 19, 9

Offset

1,1

Comments

a(n) is an odd number >= 3.

a(1) * A002202(1) = 3 is the only value not a term of the sequence A005277.

Terms of this sequence map terms of A002202 to terms of A005277 and the image of these mappings is a subset of A005277. For example, between A005277(1) = 14 and A005277(5) = 50, there is no mapping.

Links

Table of n, a(n) for n=1..75.

Example

3 is a term because 3 * A002202(1) = 3 and 3 is not a term of A000010.
7 is a term because 7 * A002202(2) = 14 and 14 is not a term of A000010.

Prog

(PARI) f(n) = my(k=1); while(istotient(k*n), k++); k;
lista(nn) = {for (n=1, nn, if (istotient(n), print1(f(n), ", ")); ); } \\ Michel Marcus, Jun 01 2018

Crossrefs

Cf. A000010, A002202, A005277.

Sequence in context: A364646 A133593 A297154 * A191147 A227211 A271725

Adjacent sequences: A305345 A305346 A305347 * A305349 A305350 A305351

Keyword

nonn

Author

Torlach Rush, May 30 2018

Extensions

More terms from Michel Marcus, Jun 01 2018

Status

approved