Check whether the sum of prime elements of the array is prime or not in Python

Suppose we have an array nums. We have to check whether the sum of all prime elements in the given array is also prime or not

So, if the input is like nums = [1,2,4,5,3,3], then the output will be True as sum of all primes are (2+5+3+3) = 13 and 13 is also prime.

To solve this, we will follow these steps −

• MAX := 10000
• sieve := a list of size MAX and fill with true
• Define a function generate_list_of_primes()
• sieve[0] := False, sieve[1] := False
• for i in range 2 to MAX - 1, do
  • if sieve[i] is true, then
    • for j in range 2^i to MAX, increase by i
      • sieve[j] := False
• From the main method do the following:
• generate_list_of_primes()
• total := 0
• for i in range 0 to size of arr - 1, do
  • if sieve[arr[i]] is true, then
    • total := total + arr[i]
• if sieve[total] is true, then
  • return True
• return False

Let us see the following implementation to get better understanding −

Example Code

Live Demo

MAX = 10000
sieve = [True] * MAX
 
def generate_list_of_primes() :
   sieve[0] = False
   sieve[1] = False
     
   for i in range(2, MAX) :
      if sieve[i] :
         for j in range(2**i, MAX, i) :
           sieve[j] = False
     
def solve(arr) :
   generate_list_of_primes()
   total = 0
   for i in range(len(arr)) :
      if sieve[arr[i]] :
         total += arr[i]

   if sieve[total] :
      return True
   return False

nums = [1,2,4,5,3,3]
print(solve(nums))

Input

[1,2,4,5,3,3]

Output

True

Arnab Chakraborty

Published on 16-Jan-2021 05:03:01

• Related Questions & Answers
• Check whether the sum of absolute difference of adjacent digits is Prime or not in Python
• Check whether the given number is Wagstaff prime or not in Python
• Check whether the given numbers are Cousin prime or not in Python
• Check whether N is a Dihedral Prime Number or not in Python
• Check if LCM of array elements is divisible by a prime number or not in Python
• How to check whether a number is prime or not using Python?
• Program to check whether every rotation of a number is prime or not in Python
• Check whether the frequencies of all the characters in a string are prime or not in Python
• C++ Program to Check Whether a Number is Prime or Not
• C Program to Check Whether a Number is Prime or not?
• Prime or not in Python
• Check if a number is Primorial Prime or not in Python
• Python program to check if a number is Prime or not
• Bash program to check if the Number is a Prime or not
• Absolute Difference between the Sum of Non-Prime numbers and Prime numbers of an Array?