Hello welcome to the first BigO notation challenge where we will be solving a few challenges 🚀
For our first challenge we are going to solve this problem, feel free to use any language that you are comfortable with.
A prime is a natural number greater than that has no positive divisors other than and itself. Given integers, determine the primality of each integer and print whether it is Prime
or Not prime
on a new line.
Note: If possible, try to come up with an primality algorithm, or see what sort of optimizations you can come up with for an algorithm. Be sure to check out the Editorial after submitting your code!
Function Description
Complete the primality function in the editor below. It should return Prime
if is prime, or Not prime
.
primality has the following parameter(s):
- n: an integer to test for primality
Input Format
The first line contains an integer, , denoting the number of integers to check for primality.
Each of the subsequent lines contains an integer, , the number you must test for primality.
Constraints
Output Format
For each integer, print whether is Prime
or Not prime
on a new line.
Sample Input
3
12
5
7
Sample Output
Not prime
Prime
Prime
Explanation
We check the following integers for primality:
- is divisible by numbers other than and itself (i.e.: , , , ), so we print
Not prime
on a new line. - is only divisible and itself, so we print
Prime
on a new line. - is only divisible and itself, so we print
Prime
on a new line.
I hope to see all those responses and if you can do a video solving the solution.
Discussion
Done!I have 3 evaluations at first "n==1 (not prime) or if n==2 (for even numbers) and (n%2)==0, if this is true, returns 'Not prime'."Then we loop from 3 to sqrt(n),counter i increases by 2 because we don't have to check for even numbers.And if n% counter i == 0 the number is not a prime.After all the evaluations,we are left with prime numbers,does that make sense?
function primality(n) {
}
awesome Miami Larry for this awesome explanation of your solution
Here, we start by checking if the number is equal to 1, since we know 1 is not a prime number, we return and exit from the function.
We then loop from integer 2 and exit at integer n and check if current value of n is divisible by current iterator value, which means it is not a prime number. Otherwise, it is a prime number.
Of course, we started off by ensuring that n is an integer, by checking it's data type.
EDIT: **Cannot figure out why screenshot is not uploading, so I've pasted my code instead.
const primality= (n) => {
if(typeof n !== 'number') return 'Must be a number'
if(n === 1) return 'Not prime'
for(var x = 2; x < n; x++)
if(n % x === 0) return 'Not prime';
return 'prime';
};
console.log(primality(3));
console.log(primality(12));
console.log(primality(5));
console.log(primality(7));