statistic mode / every nth / packet problem

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hello

i have a situation where i want to round-robin new http connections to different ports, but i'm finding that the following is resulting in a significant amount "falling through" to my catch-all on port 9000, rather than being evenly distributed across 8080-8084.

iptables -A INPUT -m state --state RELATED,ESTABLISHED -j ACCEPT
iptables -P INPUT ACCEPT
iptables -t nat -A PREROUTING -p tcp --dport 80 -m statistic --mode nth --every 5 --packet 0 -j REDIRECT --to-port 8080
iptables -t nat -A PREROUTING -p tcp --dport 80 -m statistic --mode nth --every 5 --packet 1 -j REDIRECT --to-port 8081
iptables -t nat -A PREROUTING -p tcp --dport 80 -m statistic --mode nth --every 5 --packet 2 -j REDIRECT --to-port 8082
iptables -t nat -A PREROUTING -p tcp --dport 80 -m statistic --mode nth --every 5 --packet 3 -j REDIRECT --to-port 8083
iptables -t nat -A PREROUTING -p tcp --dport 80 -m statistic --mode nth --every 5 --packet 4 -j REDIRECT --to-port 8084
iptables -t nat -A PREROUTING -p tcp --dport 80 -j REDIRECT --to-port 9000

it's about 80-20, where 80% are evenly distributed amongst 8080-8084 and 20% are winding up on 9000.

i'd prefer 100% evenly distributed on 8080-8084 and none on 9000. i put 9000 there as a catch-all "hack" because i found connections were failing to be caught by the 8080-8084 range.

any help would be really appreciated, thank you in advance!

tristen
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