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A361117 a(n) is the least k such that A360519(k) is divisible by the n-th prime number.

%I A361117 #8 Mar 03 2023 13:53:14
%S A361117 2,2,3,4,8,17,24,32,40,48,50,54,58,69,73,104,120,122,126,137,141,160,
%T A361117 164,176,200,202,206,208,210,229,252,260,276,280,304,308,312,332,336,
%U A361117 344,361,376,388,392,400,404,428,452,468,472,480,496,500,508,520,532
%N A361117 a(n) is the least k such that A360519(k) is divisible by the n-th prime number.
%H A361117 Rémy Sigrist, <a href="/A361117/b361117.txt">Table of n, a(n) for n = 1..10000</a>
%H A361117 Rémy Sigrist, <a href="/A361117/a361117.gp.txt">PARI program</a>
%F A361117 a(n) <= a(n+1).
%e A361117 The first terms of A360519 alongside their prime factors and the corresponding terms of this sequence are:
%e A361117   n  A360519(n)  Primes  Terms
%e A361117   -  ----------  ------  --------------
%e A361117   1           1  None
%e A361117   2           6  2, 3    a(1)=2, a(2)=2
%e A361117   3          10  2, 5    a(3)=3
%e A361117   4          35  5, 7    a(4)=4
%e A361117   5          21  3, 7
%e A361117   6          12  2, 3
%e A361117   7          20  2, 5
%e A361117   8          55  5, 11   a(5)=8
%o A361117 (PARI) See Links section.
%Y A361117 Cf. A360519.
%K A361117 nonn
%O A361117 1,1
%A A361117 _Scott R. Shannon_, _Rémy Sigrist_ and _N. J. A. Sloane_, Mar 03 2023