An algorithm returns one of five prime numbers using a zero-indexed array to store the numbers.01 function ReturnPrime(x)02 prime = [9369319,2521008887,1442968193,10619863,6692367337]03 c = 004 for i = 1 to x05 if c > prime.length -1 then06 c = 007 endif08 p = prime[c]09 c = c + 110 next i11 return p12 endfunctionRewrite the function ReturnPrime to make it more efficient.
Question
An algorithm returns one of five prime numbers using a zero-indexed array to store the numbers.01 function ReturnPrime(x)02 prime = [9369319,2521008887,1442968193,10619863,6692367337]03 c = 004 for i = 1 to x05 if c > prime.length -1 then06 c = 007 endif08 p = prime[c]09 c = c + 110 next i11 return p12 endfunctionRewrite the function ReturnPrime to make it more efficient.
Solution
The given function can be optimized by removing the unnecessary loop and the condition check. The modulus operator can be used to ensure that the index stays within the bounds of the array. Here is the optimized version of the function:
def ReturnPrime(x):
prime = [9369319,2521008887,1442968193,10619863,6692367337]
return prime[x % len(prime)]
In this version of the function, the input x is directly used as the index to access the prime number from the array. The modulus operator (%) is used to ensure that the index is always within the bounds of the array. This version of the function is more efficient because it removes the unnecessary loop and condition check from the original function.
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.
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Write a code to print the prime numbers in the given range by using the function isPrime() for the given start and end as range. isPrime() function is predefined, it return 1 if number is prime else it return 0.Input Format:Accept two integers(start and end range) as inputOutput Format:Display the prime numbers as space sepratedConstraints:1 <= start, end <= 10^6Sample Input 1:29 50Sample Output 1:29 31 37 41 43 47Sample Input 2:1 100Sample Output 2:1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47 53 59 61 67 71 73 79 83 89 97
Please create a pseudocode function that can check if a given number n is prime or not, where n > 1.
Create a Python function that takes a list of integers as input andreturns a new list containing only the prime numbers from the input list.Provide a clear explanation of your implementation and include a test case.
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