

A324206


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


1



5244319080000, 6197831640000, 6857955720000, 7342046712000, 7664774040000, 7866478620000, 8241072840000, 8676964296000, 8740531800000, 9278410680000, 9296747460000, 9578467080000, 9601138008000, 10286933580000, 10329719400000, 10488638160000, 10598658840000, 10705345560000
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OFFSET

1,1


LINKS

David A. Corneth, Table of n, a(n) for n = 1..10000


EXAMPLE

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.


PROG

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


CROSSREFS

Cf. A001221, A001222, A006939, A051270, A059404, A071625, A118914, A181819, A182855, A323014, A323022, A323024, A323025, A323056.
Sequence in context: A216909 A173710 A258275 * A204349 A094910 A295353
Adjacent sequences: A324203 A324204 A324205 * A324207 A324208 A324209


KEYWORD

nonn,easy


AUTHOR

David A. Corneth, Feb 17 2019


STATUS

approved



