maximum number of connections allowed from public IP address

The limit for inbound will be 65,353 per pool member. That is a TCP limit for 4 tuple connection srcIP:srcPort to destIP:destPort. Outbound will be the same, but you don't have pool members to help with the port exhaustion. You can use a SNAT pool for either to increase this if needed.

https://support.f5.com/kb/en-us/solutions/public/7000/800/sol7820.html

We're using pool-member connection limits to prevent servers being overloaded. We can see from the statistics that these limits are being hit. The same statistics suggest that we're hitting the sum of all of the member limits, which would imply that we're turning some connections away..i have the similar requirement ....would like know how to get historical connection reports for pool member...i can find current connection report of the pool but not historical...,i need historical data same with time period wise like take every 30 min ...if any body have option,please reply..