Add a functionint nextPrime(int n);that returns the smallest prime greater than n.For example:nextPrime(14) == 17nextPrime(17) == 19Change the main function to test the new code.
Question
Add a functionint nextPrime(int n);that returns the smallest prime greater than n.For example:nextPrime(14) == 17nextPrime(17) == 19Change the main function to test the new code.
Solution
Here is a simple implementation in C++:
#include <iostream>
#include <cmath>
bool isPrime(int num) {
if (num <= 1) return false;
if (num == 2) return true;
if (num % 2 == 0) return false;
for (int i = 3; i <= sqrt(num); i += 2)
if (num % i == 0) return false;
return true;
}
int nextPrime(int n) {
int next = n + 1;
while (!isPrime(next)) next++;
return next;
}
int main() {
std::cout << "Next prime after 14 is: " << nextPrime(14) << std::endl;
std::cout << "Next prime after 17 is: " << nextPrime(17) << std::endl;
return 0;
}
This code first defines a helper function isPrime to check if a number is prime. It then defines the nextPrime function which starts from the number after n and keeps incrementing until it finds a prime number. The main function tests this with the numbers 14 and 17.
Similar Questions
A prime number is an integer greater or equal to 2 that is only divisible by 1 and by itself. The first few primes are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47 …N is a prime if and only if it is not divisible evenly by any of the numbers from 2 to N−1. Let’s implement this decision as a function.In the same program numbers.cpp, add a functionbool isPrime(int n);The function should return true if n is a prime, otherwise return false. Change the main function to test your new code.
Problem statementSend feedbackYou are given a positive integer ‘N’. Your task is to print all prime numbers less than or equal to N.Note: A prime number is a natural number that is divisible only by 1 and itself. Example - 2, 3, 17, etc.You can assume that the value of N will always be greater than 1. So, the answer will always exist.Detailed explanation ( Input/output format, Notes, Images )Constraints:2 <= N <= 10^7Where ‘N’ is the given positive integer.Time Limit: 1secSample Input 1 :7Sample Output 1 :2 3 5 7Sample Output 1 Explanation:For the given input, all prime numbers from 2 to 7 are 2, 3, 5 and 7.Sample Input 2 :30Sample Output 2 :2 3 5 7 11 13 17 19 23 29
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