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A324206 Numbers with exactly six distinct exponents in their prime factorization, or six distinct parts in their prime signature. 1

%I #14 Aug 28 2020 01:55:42

%S 5244319080000,6197831640000,6857955720000,7342046712000,

%T 7664774040000,7866478620000,8241072840000,8676964296000,

%U 8740531800000,9278410680000,9296747460000,9578467080000,9601138008000,10286933580000,10329719400000,10488638160000,10598658840000,10705345560000

%N Numbers with exactly six distinct exponents in their prime factorization, or six distinct parts in their prime signature.

%H David A. Corneth, <a href="/A324206/b324206.txt">Table of n, a(n) for n = 1..10000</a>

%e 6197831640000 = 2^6 * 3^5 * 5^4 * 7^3 * 11 * 13^2 is in the sequence as there are 6 distinct exponents; 1 through 6.

%o (PARI) is(n) = #Set(factor(n)[, 2]) == 6

%Y Cf. A001221, A001222, A006939, A051270, A059404, A071625, A118914, A181819, A182855, A323014, A323022, A323024, A323025, A323056.

%K nonn,easy

%O 1,1

%A _David A. Corneth_, Feb 17 2019

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Last modified April 19 18:05 EDT 2024. Contains 371798 sequences. (Running on oeis4.)