Database System Concepts
Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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QUADRATIC PRIMES

This question is adopted from Project Euler Question 27. (https://projecteuler.net/problem=27)

The quadratic formula n^2 + n + 41 will produce 40 primes for consecutive integer values 0 <= n <= 39. However, when n = 40, this formula will not generate a prime number.

Another interesting quadratic formula n^2 – 79n + 1601 produces 80 prime numbers for consecutive values 0 <= n <= 79.

The Question: find a and b such that when -999 <= a <= 999 and -1000 <= b <= 1000, the quadratic form ?^2 + ? ×ばつ ? + ? produces the maximum number of primes for consecutive values of n, starting with n = 0.

Requirement:

MUST BE WRITTEN IN C++

- Print the 40 primes generated by formula n 2 + n + 41

- Print the 80 primes generated by formula n 2 – 79n + 1601

- Write a function that takes in an integer and returns whether the given number is prime or not.

- Output the value of a, b and how many consecutive values of n (count the starting zero!) can be generated.

- Submit your .cpp

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