Recent content by jillbones
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Graduate Calculating Prime Number Counts Using PI(N) Formula up to 10^23
I used the values of PI(N) from the table in the Wikipedia article "Prime Number Theorem" to calculate A, B & C. I did a simple data regression analysis of N / PI(N) vs LOG(N) & LOG(N)^2. If the function was truly a straight line; A would be 0.000000000000 ... ! My results suggest that up...- jillbones
- Post #4
- Forum: Linear and Abstract Algebra
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J
Graduate Calculating Prime Number Counts Using PI(N) Formula up to 10^23
PI(N) = N /{A * LOG(N)^2 +B * LOG(N) + C}. Note: LOG(N) is the common log. This formula works for N up to 10^23. The accuracy depends on the number of digits after the decimal point in the coefficients A, B & C. I used a Lotus123 spreadsheet to calculate them. My calculated values are...- jillbones
- Thread
- Counting Prime
- Replies: 5
- Forum: Linear and Abstract Algebra