A344307 a(n) is the smallest number not yet in the sequence that satisfies the following condition: if p is a prime factor of a(n), the next p terms are coprime to p.

1, 2, 3, 5, 4, 7, 9, 8, 11, 13, 6, 17, 19, 10, 21, 23, 16, 29, 27, 20, 31, 37, 12, 41, 43, 14, 15, 47, 22, 53, 39, 32, 25, 49, 18, 59, 61, 34, 45, 67, 38, 71, 33, 28, 65, 73, 24, 79, 83, 46, 75, 89, 56, 97, 81, 44, 85, 101, 26, 87, 103, 62, 35, 57, 64, 107

Offset: 1

Author

Sergio Pimentel, May 14 2021

Keywords

• nonn

Comments

It is not clear if every positive integer is in the sequence.

Links

• Rémy Sigrist, Table of n, a(n) for n = 1..10000
• Rémy Sigrist, PARI program for A344307

Crossrefs

Cf. A064413, A084937, A090252, A103683, A121216, A249064.

Programs

PARI

See Links section.

Extensions

More terms from Rémy Sigrist, May 29 2021