I think I discovered a pattern for prime numbers

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SUMMARY

The discussion centers on a user's discovery of a potential pattern for identifying prime numbers using a program that successfully found all primes up to 70 million. The program, however, crashed due to RAM limitations. The user believes the pattern is novel and has not found existing documentation on it. The response emphasizes the established mathematical approximation for prime counting, specifically the relationship between the prime counting function and the logarithmic integral, while cautioning against claims of solving the Riemann conjecture.

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hotAdaptness
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TL;DR
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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