1
answer
0
watching
61
views
11 Jun 2020
Prime Number Theorem
There are 25 prime numbers less than 100. The Prime Number Theorem states that the number of primes less than x approaches
![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/326595878390813/question/0.png?img=a14a0a6e25b6bdfc403b4132d556c52a)
.
Use this approximation to estimate the rate (in primes per 100 integers) at which the prime numbers occur when
(a) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/326595878390813/question/1.png?img=a006becfbe2f83e15ff55a11ccb21d56)
.
(b) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/326595878390813/question/2.png?img=cd40997280eeb61516a042a3af46b6b5)
.
(c) ![](https://s3.amazonaws.com/prealliance-textbook-qa.oneclass.com/qa_images/homework_help/question/qa_images/326595878390813/question/3.png?img=2e2377b601e2c8053dff0fea7e141148)
.
Prime Number Theorem
There are 25 prime numbers less than 100. The Prime Number Theorem states that the number of primes less than x approaches
Use this approximation to estimate the rate (in primes per 100 integers) at which the prime numbers occur when
(a)
(b)
(c)
Joram GuingguingLv10
17 Jun 2020