Sum of prime numbers in the input in python using def
Solution 1: Sum of n Prime Numbers in Python
Solution 2: Sum of Prime Numbers in the Input in Python
Solution 3: Sum of Prime Numbers in the input Python
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Learn about Sum of Prime Numbers in Python. Prime numbers are natural numbers that are divisible by only one and the number itself. In other words, prime numbers are positive integers greater than 1 with exactly two factors, one and the number itself. Some prime numbers include 2, 3, 5, 7, 11, 13, etc. And the sum of prime numbers denotes the summation of all the prime numbers less than or equal to the given
input. Before starting with the algorithm where we shall understand how to find the sum of all
prime numbers between 1 to n, we should first briefly understand what prime numbers are. A prime number can be defined as a positive integer greater than 1 and only divisible by two numbers, 1 and itself. To find the prime numbers with python, please go through the article Prime Number Program in Python as this covers the basic to
advanced level of how we can find the prime numbers in python along with few programs of optimizing that code. After you have gone through the above article, let us discuss the algorithm we will be following to find the sum of prime numbers in python. Step1: As we are looking to find the sum of prime numbers up to N, we first need to iterate through each number up to the given number. Step2: Then, we check if the given number is a
prime or not. We can add and store it in a temporary variable if it is a prime number. Step3: Now, as the outer loop is completed, we can get the sum of primes by printing the temporary variable. As explained above, we can now move on to understand the program to find the sum of prime numbers in python as below. We are covering two specific approaches: the simple approach and the Sieve of Eratosthenes approach. Both the approach are easy to understand, the only
difference being that the Sieve of Eratosthenes approach is more efficient. Let us understand the simple approach to finding the sum of prime numbers in python. In this approach, we traverse all the numbers from 1 to n. Then, we check every number if it is a prime or not. If the number is prime, we add it to the output. This is a very basic and easier approach to solving our problem statement. Code:
Output:
Explanation: Here we started with the input from the user, where we take the number till which the sum of prime numbers in python needs to be known. Then we use for loop in python to iterate for each number starting from 2. As known, the first prime number is 2, so we started the for loop with it. Now, we iterate each number to check if it is a prime number or not. We do so by evaluating it and analyzing the remainder to not be equal to zero. Then we take that number and continue adding to the previously added prime numbers. In the end, we print the sum of all the primes up to the last number as given as an input by the user. Python Program to Find Sum of All Prime Numbers Between 1 to n using Sieve of EratosthenesLet us understand the Sieve of Eratosthenes approach to finding the sum of prime numbers in python. The Sieve of Eratosthenesis said to be an efficient method to calculate the sum of prime numbers in python in this approach, we first find all the prime numbers till the last number. Once we have all the prime numbers, we then find the addition of all of them. Now let us understand the algorithm to see how to find all the prime numbers that are less than or equal to a given integer n by the Sieve of Eratosthenes method. It is important to note here that once the algorithm terminates, then all the numbers that are not marked in the list are the prime numbers. Explanation: Consider an example where n = 40. Now we need to print all the prime numbers that are smaller than or equal to 40. For the same, we create a list of all the numbers from 2 to 40, as seen below. As described above in the algorithm, we shall now mark all the numbers that are divisible by 2. We start marking all the numbers that are multiples of 2. Also, these numbers also need to be greater than or equal to the square of it, as seen below. We see that there are many unmarked numbers. We now move to the next unmarked number, 3. We start marking all the numbers that are multiples of 3. Also, these numbers also need to be greater than or equal to the square of it, as seen below. We repeat the same process. We now move to the next unmarked number, that is, 5. We start marking all the numbers that are multiples of 5. Also these numbers also need to be greater than or equal to the square of it as seen below. We continue the same process and the final table shall look like as seen below: The prime numbers which are unmarked are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37. Now as we understand how we are going to use the Sieve of Eratosthenes concept, let us dive deep into the program to find the sum of prime numbers in python. Code:
Output:
Explanation: Here we have applied the same logic we just explained above. We first create the function Sum_Of_Primes, then we check each number and evaluate if it is a prime or not. Once we check if the number is a prime number or not for all the numbers till n, we then collect all the prime numbers. Now we add all the prime numbers and print the output. Conclusion
How do you find the sum of a prime number in Python?The algorithm to find the sum of prime numbers in python is as follows:. Step1: We first need to iterate through each number up to the given number.. Step2: We check if the given number is a prime or not. ... . Step3: We can then get the sum of all primes by printing the temporary variable.. How do you find the sum of prime numbers?How to find the sum of prime numbers up to a prime number n, that is for example: the sum of prime numbers up to 7 is: 2+3+5+7=17.
What does Isprime do in Python?isprime() function is a SymPy module built-in function that can be used to check for prime integers. It's a straightforward function that returns True if the number under consideration is prime and False if it's not.
How do you find the sum of all prime numbers between 1 and n?A simple solution is to traverse all numbers from 1 to n. For every number, check if it is a prime. If yes, add it to result. An efficient solution is to use Sieve of Eratosthenes to find all prime numbers from till n and then do their sum.
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