Graduate I think I discovered a pattern for prime numbers

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A user claims to have discovered a new pattern for prime numbers and developed a program that successfully identifies all primes up to 70 million, although it crashed due to RAM limitations. They believe the pattern is unique and have not found any existing documentation on it. However, responses indicate skepticism, suggesting that the pattern aligns with established mathematical concepts, particularly the prime counting function. The discussion concludes with a warning that claims of solving significant mathematical conjectures, like the Riemann Hypothesis, are unlikely to be valid. The thread is ultimately closed due to the improbability of the user's claims fitting established mathematical formats.
hotAdaptness
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I think I discovered a pattern for prime numbers
I wrote a program that implements the pattern and finds the primes automatically. It worked up to 70 million then it crashed because program holds data in RAM so it can be fixed. It found all the primes up to 70 million and found no exception. I won't explain the pattern because its so complicated and its not officially mine. I couldn't find any documents about this pattern and I think its a new thing. What should I do?
 
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hotAdaptness said:
Summary: I think I discovered a pattern for prime numbers

I wrote a program that implements the pattern and finds the primes automatically. It worked up to 70 million then it crashed because program holds data in RAM so it can be fixed. It found all the primes up to 70 million and found no exception. I won't explain the pattern because its so complicated and its not officially mine. I couldn't find any documents about this pattern and I think its a new thing. What should I do?
The pattern you have found is
$$
\pi(x) \approx \operatorname{Li}(x)=\displaystyle{\int_2^x \dfrac{dt}{\log t}}
$$

Anything else can frankly be considered wrong. See
https://www.physicsforums.com/insights/the-history-and-importance-of-the-riemann-hypothesis/
and if you are interested in details
https://www.physicsforums.com/insights/the-extended-riemann-hypothesis-and-ramanujans-sum/.

Since it is highly unlikely that you have solved the Riemann conjecture, and even if, it certainly won't fit our format, this thread is closed.
 
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Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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