

A185445


Smallest number having exactly t divisors, where t is the nth triprime (A014612).


0



24, 60, 180, 240, 900, 960, 720, 2880, 15360, 3600, 6480, 61440, 14400, 46080, 983040, 25920, 32400, 3932160, 184320, 62914560, 233280, 230400, 2949120, 129600, 414720, 11796480, 4026531840, 921600, 16106127360, 810000, 1658880, 188743680, 1166400, 1030792151040, 14745600, 3732480
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OFFSET

1,1


COMMENTS

This is the 3rd row of an infinite array A[k,n] = smallest number having exactly j divisors where j is the nth natural number with exactly k prime factors (with multiplicity).
The first row is A061286, the second row is A096932.


LINKS

Table of n, a(n) for n=1..36.


FORMULA

a(n) = A005179(A014612(n)).


EXAMPLE

a(10) is 3600 because the 10th triprime is 45, and the smallest number with exactly 45 factors is 3600 = 2^4 * 3^2 * 5^2.
a(20) is 62914560 because the 10th triprime is 92, and the smallest number with exactly 92 factors is 62914560 = 2^22 * 3 * 5.


CROSSREFS

Cf. A005179, A014612, A061286, A096932.
Sequence in context: A240524 A250577 A242844 * A321840 A052759 A226883
Adjacent sequences: A185442 A185443 A185444 * A185446 A185447 A185448


KEYWORD

nonn,easy


AUTHOR

Jonathan Vos Post, Feb 03 2011


STATUS

approved



