Please create a pseudocode function that can check if a given number n is prime or not, where n > 1.
Question
Please create a pseudocode function that can check if a given number n is prime or not, where n > 1.
Solution
Sure, here is a pseudocode for checking if a number is prime:
Function isPrime(n)
if n <= 1 then
return false
end if
if n <= 3 then
return true
end if
if n mod 2 = 0 or n mod 3 = 0 then
return false
end if
i = 5
while i * i <= n do
if n mod i = 0 or n mod (i + 2) = 0 then
return false
end if
i = i + 6
end while
return true
End Function
This function works by first checking if the number is less than or equal to 1, in which case it is not prime. Then it checks if the number is less than or equal to 3, in which case it is prime. Then it checks if the number is divisible by 2 or 3, in which case it is not prime. Finally, it checks if the number is divisible by any number from 5 to the square root of the number, in steps of 6. If it is, then the number is not prime. If it passes all these checks, then the number is prime.
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