A068545 Numbers n such that n*tau(n)>3*prime(n).

180, 240, 360, 420, 480, 504, 540, 600, 630, 660, 672, 720, 756, 780, 792, 840, 864, 900, 924, 936, 960, 990, 1008, 1020, 1050, 1056, 1080, 1200, 1260, 1296, 1320, 1344, 1440, 1512, 1560, 1584, 1620, 1680, 1728, 1764, 1800, 1848, 1872, 1890, 1920, 1980

Offset: 1

Author

Benoit Cloitre, Mar 22 2002

Keywords

• easy
• nonn

Links

• Robert Israel, Table of n, a(n) for n = 1..10000

Programs

Maple

R:= NULL: count:= 0: p:= 0:
for n from 1 while count < 100 do
  p:= nextprime(p);
  if n * numtheory:-tau(n) > 3 * p then R:= R,n; count:= count+1; fi;
od:
R; # Robert Israel, May 13 2025