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The Fallacy of Artificial General Intelligence: Microsoft's Recognition of the Limits of LLMs

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  Microsoft released a research work last week [1] that claims that GPT-4 capabilities can be viewed as an early version of Artificial General Intelligence. The authors states that " the breadth and depth of GPT -4's capabilities, we believe that it could reasonably be viewed as an early (yet still incomplete) version of an artificial general intelligence (AGI) system. "  The researchers adopted the following definition of human Intelligence to reach this conclusion: " a very general mental capability that, among other things, involves the ability to reason, plan, solve problems, think abstractly, comprehend complex ideas, learn quickly and learn from experience. ". According to the same paper, the definition was proposed in 1994 by a group of psychologists. Interestingly, the authors of the paper [1] acknowledges that the definition of human intelligence is somehow restrictive. They also acknowledge that some components of this definition are currently missing
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The impacts of known prime generation patterns

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I always believed that prime numbers don't follow any clear pattern, but yesterday I learned from this page [1] that any prime number bigger than 3 can follow the pattern (6*n+1) and/or (6*n -1), where n is any natural number. The authors indicate that they verified this theory by generating 1000000 prime numbers using Matlab. Therefore, it seems that there is no official proof of this theory, but also nothing proves that it is an incorrect theory.  Let's suppose that this theory is mathematically proven. Then, two questions can be raised: Question1: Can this theory remove the need to primality tests? Question2: Can this theory allow us to factorize natural numbers efficiently? Before I handle these questions, I want to verify first the prime generation theory. I wrote a Python function that allows finding the count of prime numbers within a range of numbers and comparing this function with another function that follows the brute force method to generate the prime numbers. Here
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