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A336354 Numbers k such that p^2 divides k, where p = A006530(k), the largest prime factor of k, and sigma(k) does not have any prime factor larger than p. 1

%I #10 Jul 20 2020 02:09:16

%S 343,686,1029,1372,1715,2058,2744,3430,4116,4489,5145,6241,6860,8232,

%T 8978,9261,10290,10976,12482,13467,13720,17956,18522,18723,18769,

%U 20580,22201,22445,24964,26569,26934,31205,31423,32761,32928,35912,36481,37044,37446,37538,40401

%N Numbers k such that p^2 divides k, where p = A006530(k), the largest prime factor of k, and sigma(k) does not have any prime factor larger than p.

%e 343 = 7^3 is present, as A000203(343) = 400 = 2^4 * 5^2, with none of the prime factors > 7.

%e 1715 = 5 * 7^3 is present, as sigma(1715) = 2400 = 2^5 * 3 * 5^2.

%o (PARI) isA336354(n) = ((0==A336352(n))&&(1==A319988(n));

%Y Intersection of A070003 and A336353.

%Y Cf. A000203, A006530, A319988, A336352.

%K nonn

%O 1,1

%A _Antti Karttunen_, Jul 19 2020

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Last modified April 24 22:17 EDT 2024. Contains 371964 sequences. (Running on oeis4.)