Why a calculator? Couldn't it just have been a PC? An abacus? What about this calculator is special? Can any calculator absorb lovecraftian math-monsters?
To be frank, I have no answer to that question. In my headcanon (I most likely won't add any of this to the document), I'd say some reality bender trapped it inside the calculator which he had with him (possible student?). This would more or less be why the entity never converses about how it got inside that calculator because of the embarrassment of its façade of as a god just being ripped apart when it let its guard down against a simple cosmic meatbag.
how is the calculator using its power?
Because of the whole reality fuckery that the reality bender used to trap it inside, the CPU of the calculator prevents and suppresses the creature by absorbing it (never kills it though because the reality bender themselves probably couldn't do it either) and its power.
All and all, I don't want to answer these questions in the article because of the entity's stubbornness. And the Foundation is not some all-knowing organization, so leaving these as a mystery to the reader seems a bit more immersive in my opinion. If you think otherwise please do tell me as, like I've said, I'm a new writer with little to no experience.
it isn't really a narrative, you have a basic idea and some main plot points of what you want to do with the story, but nothing else. Who are our characters? What is your main conflict? What is the ending or end goal you have planned?
The narrative I want to follow are the interview logs and how the creature deals with each of them. Because the creature can only speak psychically (with a high chance of the death of the subject), the Foundation never sends anyone other than D-Class personnel to it. The D-Class would be sent in most time with questions (memorised) to ask. They would begin with creatures intentions, nature, abilities, and other questions related to the entity itself. Then more complicated questions such as why he is in calculator, why should the Foundation aid its escape, etc. would play the role as questions to the entity. They will communicate back and forth using subjects until coming across the subject which doesn't from any of the entity's effects. The subject would still slightly cookoo with sheer awe (thus beginning to call himself the 'prophet' because unlike all the other D-Class, he can see the sheer infinite depth of the creature's abilities). The creature begins to understand that a lifeform which can withstand its presence is a potential catalyst to help it get out (by exploiting a loophole where it'll still be contained inside something, the 'prophet', but have the ability to destroy the vessel because it hadn't been enhanced to contain it, thus escaping). The subject was in on this, but because of his cookooness he kinda slipped up to the Foundation (very implicitly through logs). The Foundation would most likely terminate the subject (not yet decided if I want to let him have a future). The Foundation would most definitely cease sending subjects to the entity's psychic vicinity because they had come so close to a containment with possible K-Class events as a consequence.
I don't want to name any characters or anything as of the moment cause I'd hate for this to fail as a concept while I'm attached to it.
you mention a social media post, a Foundation raid to retrieve the calculator, a "prophet" which communicates with the entity, tests to find out the capabilities of the monster, K-Class scenarios, tests with physicians and mathematicians, etc. I feel like this is way too much, you should pick a story you want to develop and go in-depth with it. Otherwise you run the risk of the story being all over the place and it feeling disconnected.
I'll try to put most of these background information (or remove them altogether) when I write the draft. Like I said, the interview logs are what I want to focus on most so I guess I answered your question right there.
I think the idea of the "prophet" is a bit cliché and deviates from the calculator-monster theme of the rest of the article.
I'll admit, even I thought the 'prophet' idea was a bit cliché when developing the idea. I couldn't think of any other method of building the narrative without tons of D-Class, so I just went with the 'prophet' idea. Please note that this character is not some actual 'prophet' of sorts. This is just his cookoo acting up and the incomprehensible aspect of the Lovecraftian genre where cults and stuff are prevalent towards a god-like monster.
This could very easily end up being an X-Man syndrome.
I read about this in the humanoid section of the How-to-write-an-SCP article. But in my opinion, the whole point of a Lovecraftian monster is to be god-like compared puny humans. I also tried to avoid this by making this creature unrelated to humans basically making it an alien and cosmic anomaly. Also note that the K-Class scenarios are also just a possibility. The creature might not even care about wiping out humanity and simply leave into the empty abyss of space to meet its family or something. The Foundation obviously wouldn't care though, a threat is a threat and even the possibility is dangerous in itself.
Thanks a lot for helping me with the critique though. It helps develop my idea further when I didn't probably think of the questions someone else might ask :D