Is the consciousness given existence because you perform calculations on paper, or does it exist already within the fabric of reality and you're merely exposing it?
Just because we don’t tend to recognize one without the other doesn’t mean they necessarily have a causative relationship.
I don't see any sense in which these aren't different, unless perhaps you're introducing some separate cosmological "Boltzmann brain"-style argument that all possible finite results of all halting algorithms will arise or have arisen due to random fluctuations. But in that case you've got a whole new set of assumptions to address.
[0]: https://en.wikipedia.org/wiki/Mathematical_universe_hypothes...
Did philosophers not watch Blade runner? Sure Descartes didn't - but contemporaries sure as shit do!
To answer your question, I claim that you can't. Radical skepticism ("we live in the universe of the evil demon"), which is what I advocate for, means that you can't even claim that you exist. See the works of Max Stirner for further elaboration of the implications of this for Philosophy.
Paraphrasing from memory: he pins "cogito ergo sum" on the assumption that objective knowledge is possible. That assumption is built atop imagining an alternative: an evil demon has full control over his senses and feeds him whatever it wants to (essentially, the 'Matrix hypothesis'). His solution to this concern? "A loving God wouldn't create a universe that banal and meaningless."
It's only a proof if you accept the postulate that objective reality is correlated with experience.