A200090 Numbers k such that the sum of the distinct prime divisors of k equals three times the largest prime divisor of k.

15015, 45045, 51051, 62985, 72930, 74613, 75075, 105105, 106590, 135135, 145860, 153153, 156009, 165165, 187473, 188955, 190190, 195195, 213180, 218790, 222870, 223839, 225225, 279565, 291720, 314925, 315315, 319770, 335478, 357357, 364650, 375375, 380380

Offset: 1

Author

Michel Lagneau, Nov 13 2011

Keywords

• nonn

Examples

			15015 is a term because its distinct prime divisors are 3, 5, 7, 11, 13 and their sum 3 + 5 + 7 + 11 + 13 = 39 equals 3*13.
		

Links

• Amiram Eldar, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A006530 (gpf), A008472 (sopf), A200070.

Programs

Mathematica

Select[Range[400000],Plus@@(pl=First/@FactorInteger[#])==3*pl[[-1]]&]