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A200090
Numbers k such that the sum of the distinct prime divisors of k equals three times the largest prime divisor of k.
1
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
1,1
LINKS
EXAMPLE
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.
MATHEMATICA
Select[Range[400000], Plus@@(pl=First/@FactorInteger[#])==3*pl[[-1]]&]
CROSSREFS
Cf. A006530 (gpf), A008472 (sopf), A200070.
Sequence in context: A335052 A294026 A133778 * A147578 A285993 A295453
KEYWORD
nonn
AUTHOR
Michel Lagneau, Nov 13 2011
STATUS
approved