Automaticaly rename new buffer in term-mode

In Emacs, let's create a buffer in term-mode with M-x term. The resulting buffer is named *terminal*. If one wants to create another buffer also in term-mode, one usually does M-x term again. However, this simply gets back to the first buffer. Therefore, one has to (1) rename the first buffer with M-x rename-uniquely, this buffer now being named *terminal*<2>, and (2) create the second buffer with M-x term, that buffer being named *terminal*.

Would there be a way instead to create another buffer in term-mode without renaming the first ones, so that the new buffer is automatically named *terminal<i+1>* where i is the number of already-existing buffers in term-mode?

ps: I started reading the introduction to programming in Emacs Lisp, in order to write in my .emacs my own function overloading M-x term, but I feel like any help will be much needed!