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

Author

T. D. Noe, Oct 13 2010

Keywords

• nonn

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.