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%I #8 Jan 29 2023 10:44:56
%S 14,19,24,28,118
%N Numbers k such that the partition number p(k) = A000041(k) is a term of A057109, i.e., it is not a divisor of the factorial of its greatest prime factor.
%C There are no more terms below 3000.
%e p(14) = 3^3 * 5, but 5! has only one factor 3.
%e p(19) = 2 * 5 * 7^2, but 7! has only one factor 7.
%e p(24) = 3^2 * 5^2 * 7, but 7! has only one factor 5.
%e p(28) = 2 * 11 * 13^2, but 13! has only one factor 13.
%e p(118) = 11 * 197 * 827^2, but 827! has only one factor 827.
%Y Cf. A000041, A057109, A071963.
%K nonn,more
%O 1,1
%A _Pontus von Brömssen_, Jan 28 2023
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