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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
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 A355660
KEYWORD
nonn
AUTHOR
T. D. Noe, Oct 13 2010
STATUS
approved

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Last modified May 25 03:39 EDT 2024. Contains 372782 sequences. (Running on oeis4.)