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A072412 Numbers k such that the LCM of exponents in the prime factorization of k does not equal the largest exponent. 2
72, 108, 200, 288, 360, 392, 432, 500, 504, 540, 600, 648, 675, 756, 792, 800, 864, 936, 968, 972, 1125, 1152, 1176, 1188, 1224, 1323, 1350, 1352, 1368, 1372, 1400, 1404, 1440, 1500, 1568, 1656, 1800, 1836, 1944, 1960, 2000, 2016, 2052, 2088, 2160 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This sequence differs from the Achilles numbers (A052486).

LINKS

Table of n, a(n) for n=1..45.

FORMULA

A051903(a(n)) != A072411(a(n)).

EXAMPLE

k = 360 = 2*2*2*3*3*5, exponent set = {3,2,1}; LCM=6, max=3.

PROG

(PARI) is(n)=my(f=factor(n)[, 2]); n>9 && vecmax(f)!=lcm(f) \\ Charles R Greathouse IV, Oct 16 2015

CROSSREFS

Cf. A005361, A051903, A051904, A052409, A052486, A072411-A072414.

Sequence in context: A308053 A307758 A272191 * A052486 A114128 A143610

Adjacent sequences:  A072409 A072410 A072411 * A072413 A072414 A072415

KEYWORD

nonn

AUTHOR

Labos Elemer, Jun 17 2002

STATUS

approved

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Last modified April 19 20:37 EDT 2021. Contains 343117 sequences. (Running on oeis4.)