A212666 Numbers such that the greatest prime divisor is less than the product of the other distinct prime divisors.

30, 60, 70, 90, 105, 120, 140, 150, 154, 165, 180, 182, 195, 210, 231, 240, 270, 273, 280, 286, 300, 308, 315, 330, 350, 357, 360, 364, 374, 385, 390, 399, 418, 420, 429, 442, 450, 455, 462, 480, 490, 494, 495, 510, 525, 540, 546, 560, 561, 570, 572, 585, 595

Offset: 1

Author

Michel Lagneau, May 23 2012

Keywords

• nonn

Examples

			30 is in the  sequence because 30 = 2*3*5 and 5 < 2 * 3 = 6.
		

Links

• R. J. Mathar, Table of n, a(n) for n = 1..10000

Programs

Maple

with(numtheory):for n from 2 to 600 do:x:=factorset(n):m:=nops(x): p:=product( '
x[i] ', 'i'=1..m): q:=p/x[m]:if x[m] < q then printf(`%d, `,n):else fi:od: