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The second problem is built on the foundation of the first problem. It was established that the sum of the logarithms of prime numbers between
The second problem is built on the foundation of the first problem. It was established that
the sum of the logarithms of prime numbers between and n will converge on the value of n
For example, the sum of the logarithms of all prime numbers between and is
approximately The sum of the logarithms of all prime numbers between and is
approximately The problem is that some may contest that this is a valid theory. To solve
this problem, write a program that evaluates the numbers between and n to determine if the
number is a prime number. If it is find the logarithm of the prime number. Add all logarithms of
the prime numbers between and n After iterating over the values between and n print out
the sum, the number n and the ratio of these two quantities. The ratio of the sum and n should
converge on the number one. Evaluate the results with multiple values for n to demonstrate this
convergence. To use the Python function log add from math import to the script file
immediately following the block comments that include the assignment name, assignment
purpose, date, and your name at the top of the script file.
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