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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.
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%I #27 Jun 21 2021 03:05:16

%S 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,

%T 15,47,22,53,39,32,25,49,18,59,61,34,45,67,38,71,33,28,65,73,24,79,83,

%U 46,75,89,56,97,81,44,85,101,26,87,103,62,35,57,64,107

%N 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.

%C Is it not clear if every positive integer is in the sequence.

%H Rémy Sigrist, <a href="/A344307/b344307.txt">Table of n, a(n) for n = 1..10000</a>

%H Rémy Sigrist, <a href="/A344307/a344307.gp.txt">PARI program for A344307</a>

%o (PARI) See Links section.

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

%K nonn

%O 1,2

%A _Sergio Pimentel_, May 14 2021

%E More terms from _Rémy Sigrist_, May 29 2021