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A323610
List of 5-powerful numbers (for the definition of k-powerful see A323395).
4
48, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504
OFFSET
1,1
COMMENTS
The sequence consists of the multiples of 8 that are greater than or equal to 64, together with 48. The result is due to D. Boyd, Berend, and Golan. It had been conjectured that the sequence began with 64, but Boyd discovered the set
{1,2,7,10,11,12,13,14,16,17,21,22,27,28,32,33,35,36,37,38,39,42,47,48},
which shows that 48 is 5-powerful.
LINKS
D. Berend and S. Golan, Littlewood polynomials with high order zeros, Math. Comp. 75 (2006) 1541-1552.
Stan Wagon, Overview Table
CROSSREFS
Cf. A323395.
Sequence in context: A114821 A108098 A114505 * A186400 A205188 A333672
KEYWORD
nonn
AUTHOR
Stan Wagon, Jan 19 2019
STATUS
approved