A181310 Highly abundant numbers (A002093) whose largest prime factor has power greater than 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

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 A355660

Adjacent sequences: A181307 A181308 A181309 * A181311 A181312 A181313

Keyword

nonn

Author

T. D. Noe, Oct 13 2010

Status

approved