

A324207


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


1



2677277333530800000, 2992251137475600000, 3164055030536400000, 3501054974617200000, 3536296798834800000, 3622198745365200000, 3748188266943120000, 4015916000296200000, 4189151592465840000, 4207150095548400000, 4280780335431600000, 4373290124002800000, 4429677042750960000
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OFFSET

1,1


LINKS

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


EXAMPLE

2677277333530800000 = 2^7 * 3^6 * 5^5 * 7^4 * 11^3 * 13^2 * 17 is in the sequence. There are exactly 7 distinct exponents; 1 through 7 in it.


PROG

(PARI) is(n) = #Set(factor(n)[, 2]) == 7


CROSSREFS

Cf. A001221, A001222, A006939, A051270, A059404, A071625, A118914, A181819, A182855, A323014, A323022, A323024, A323025, A323056.
Sequence in context: A246234 A274814 A323534 * A288289 A104839 A219346
Adjacent sequences: A324204 A324205 A324206 * A324208 A324209 A324210


KEYWORD

nonn,easy


AUTHOR

David A. Corneth, Feb 17 2019


STATUS

approved



