good chemistry is complicated,and a little bit messy -LW PerlMonks

### Comment on

 Need Help??
If you want a pure iterative solution, you could compute a factor wheel and print everything but the usual trial divisors. The code looks messier, but it requires no mod calculations in the loop, just adds. I computed the wheel using Math::Big::Factors (so for people following the original articles, we have come full circle...).

```use strict;

sub limit_print {
my (\$count,@lst) = @_;
return if \$count <= 0;
if (@lst <= \$count) {
print join(" ",@lst,"");
} else {
print join(" ",@lst[0..\$count-1],"");
}
}

# factor wheel for 2,3,5
# wheel restart point.
my \$ws = 9;
my \$we = scalar @add - 1;
my @lst = (2,3,4,5);

my \$count = \$ARGV[0];
limit_print(\$count, @lst);
\$count -= @lst;
if (\$count <= 0) {
print "\n" if \$count > -4;
exit(0);
}

my \$lastskip = 5;
my \$place = 6;
my \$w = 1;
while (\$count > 0) {
# find the next nonmultiple of 2,3, and 5.
my \$nextskip = \$lastskip + \$add[\$w];
my @lst = (\$place..\$nextskip-1);
limit_print(\$count, @lst);
\$count -= @lst;

\$place = \$nextskip+1;
\$lastskip = \$nextskip;
\$w = \$ws if \$w++ == \$we;
}
print "\n";

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