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

1,2

Comments

Is it 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

Prog

(PARI) See Links section.

Crossrefs

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

Sequence in context: A245707 A271861 A084937 * A347179 A347406 A356850

Adjacent sequences: A344304 A344305 A344306 * A344308 A344309 A344310

Keyword

nonn

Author

Sergio Pimentel, May 14 2021

Extensions

More terms from Rémy Sigrist, May 29 2021

Status

approved