Answered: Explanation: pi(x) is a function that…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Explanation: pi(x) is a function that has nothing to do with pi (why? because MATH, that's why) but rather is a function meaning "The number of prime numbers <= x". So pi(7) = 4, since there are four prime numbers <= 7, namely: 2, 3, 5, and 7. (1 is not a prime number!)

The big sigma is the summation symbol. It means add up the results for pi(x) from x = i to x = j. So if we sum up all pi(x) from x = 7 to 11, we are computing: pi(7) + pi(8) + pi(9) + pi(10) + pi(11)

Now pi(7) through pi(10) are all the same, right? Since the next prime number is 11. So all of those are 4. And then pi(11) is 5, since there's now five prime numbers <= 11: 2, 3, 5, 7, 11. So the answer is: 4 + 4 + 4 + 4 + 5 = 21. (Your code will output: "The answer is: 21"). Can you explain and write it code help me please? C++

Welcome to Zeta World!
We will compute the sum of all pi(x) from x = i to j
Please enter i:
7
Please enter j:
1
pi(7) = 4
pi (8)
pi (9)
pi(10)
pi (11) = 5
= 4
= 4
= 4 I
The answer is: 21

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