pair multiple computers to the same HC-05?

Hello, I have serval sensors connected to an Arduino, from the Arduino I use a HC-05 to send serial data to a pi3. On a pi3 I paired it with the HC-05, pi3 received all the data. But I wonder if there is some sort of protocol in bluetooth that only allows one pair at a time? I tried to pair the very same HC-05 from another pi3, the other pi3 never detected the HC-05 any more. How can I get around this if it is possible at all? Thanks

What you could do is disconnect, probably by having Arduino control the power, and then reconnect and reconfigure bluetooth to connect with another device. You might be better off using an NRF24 network, which has about the same price and performance, and is made for this sort of thing.

Simple nRF24L01+ Tutorial