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Recursive algorithm to check a no is prime or not?

Updated: 8/17/2019
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Q: Recursive algorithm to check a no is prime or not?
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When you choose iterative or recursive algorithm?

If you cannot find any iterative algorithm for the problem, you have to settle for a recursive one.


Write an algorithm to check whether a number is a prime number or not?

You can write out this algorithm. This will then be programmed into the device to make determining prime numbers easier.


What is recursive call in terms of algorithm?

A recursive call in an algorithm is when a function (that implements this algorithm) calls itself. For example, Quicksort is a popular algorithm that is recursive. The recursive call is seen in the last line of the pseudocode, where the quicksort function calls itself. function quicksort('array') create empty lists 'less' and 'greater' if length('array') ≤ 1 return 'array' // an array of zero or one elements is already sorted select and remove a pivot value 'pivot' from 'array' for each 'x' in 'array' if 'x' ≤ 'pivot' then append 'x' to 'less' else append 'x' to 'greater' return concatenate(quicksort('less'), 'pivot', quicksort('greater'))


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What is a base case?

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Design recursive algorithm for computing 2n for any non negative integer n which is based on the formula2n2n-1 2n-1?

The formula, as far as I can see, is not appropriate for the algorithm.


Write and explain recursive backtracking algorithm for n-queens?

This is not a question, this is your homework. For a start, read this: https://en.wikipedia.org/wiki/Eight_queens_puzzle