million? There are over 100 trillion neural connections in the human brain. And look up artificial vs biological neuron. With sheer number and added complexity of biological neurons, there's likely not enough atoms in the Universe to provide enough ink and paper to run this simulation.
Also, you run into the problem of time slices. One step in a simulation of my brain is not conscious. There must be some self-reference going on in there that give us this illusion over time that I doubt a pen and paper model could capture.
I'm of the school of thought that a turing machine, let alone pen and paper, might not even be capable of this simulation. For example, it's possible that there are quantum effects going on in biological neurons that touring machines are not equipped to simulate.