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A181310 Highly abundant numbers (A002093) whose largest prime factor has power greater than 1. 1
4, 8, 16, 18, 36, 72, 108, 144, 216, 288, 300, 600, 1200, 1800, 2400, 3600, 5880, 7200, 8820, 11760, 17640, 35280, 52920, 70560, 105840, 211680, 609840, 914760, 1219680, 2439360, 6098400, 9369360, 12196800, 46846800, 6248642400, 12497284800 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

According to Alaoglu and Erdos (page 465), with a strong assumption about the distribution of prime numbers, they can prove that this sequence is finite.

LINKS

T. D. Noe, Table of n, a(n) for n=1..47

L. Alaoglu and P. Erdos, On highly composite and similar numbers, Trans. Amer. Math. Soc., 56 (1944), 448-469.

CROSSREFS

Sequence in context: A141718 A195382 A211413 * A212110 A033310 A312785

Adjacent sequences:  A181307 A181308 A181309 * A181311 A181312 A181313

KEYWORD

nonn

AUTHOR

T. D. Noe, Oct 13 2010

STATUS

approved

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Last modified May 28 15:04 EDT 2022. Contains 354115 sequences. (Running on oeis4.)