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A351958 a(1) = 1, followed by numbers k for which the primorial inflation of k is equal to x * p#, where p# is the primorial (A034386) of some prime p, and 1 <= x < p.

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%I A351958 #18 Apr 06 2022 18:14:48
%S A351958 1,2,3,4,5,6,7,10,11,12,13,14,15,17,19,20,21,22,23,26,28,29,31,33,34,
%T A351958 37,38,39,41,43,44,46,47,51,52,53,56,57,58,59,61,62,66,67,68,69,71,73,
%U A351958 74,76,78,79,82,83,86,87,88,89,92,93,94,97,101,102,103,104,106,107,109,111,113,114,116,118,122,123,124
%N A351958 a(1) = 1, followed by numbers k for which the primorial inflation of k is equal to x * p#, where p# is the primorial (A034386) of some prime p, and 1 <= x < p.
%C A351958 Numbers k such that A108951(k) is in A060735.
%C A351958 Numbers k for which A324886(k) is a power of prime (in A000961).
%C A351958 Numbers k such that A108951(k) / A002110(A061395(k)) < A000040(1+A061395(k)), the next prime larger than the greatest prime dividing k.
%H A351958 Antti Karttunen, <a href="/A351958/b351958.txt">Table of n, a(n) for n = 1..10000</a>
%H A351958 <a href="/index/Pri#primorialbase">Index entries for sequences related to primorial base</a>
%H A351958 <a href="/index/Pri#primorial_numbers">Index entries for sequences related to primorial numbers</a>
%o A351958 (PARI) isA351958(n) = A351956(n); \\ Uses the program given in A351956.
%Y A351958 Positions of 1's in A329040.
%Y A351958 Cf. A000961, A002110, A061395, A034386, A060735, A108951, A324886, A351956 (characteristic function).
%Y A351958 Subsequences: A000040, A008578, A100484, A001748 \ {9}, A001749 \ {8}.
%Y A351958 Cf. also A344591.
%K A351958 nonn
%O A351958 1,2
%A A351958 _Antti Karttunen_, Apr 04 2022