feat: adds Darius' code samples (#161)

Co-authored-by: DavisD. <[email protected]>

Author: DavisD251

lesson_04/dariusd/README.md

@@ -0,0 +1,60 @@
+# Prime Time
+
+## Composite # Check Python
+ ### Requirements
+- Python 3.x
+
+```python
+# Function to check if a number is composite
+def is_composite(number):
+    if number < 2:
+        return f"{number} is neither prime nor composite."
+
+    # Check for factors from 2 to sqrt(number)
+    for i in range(2, int(number**0.5) + 1):
+        if number % i == 0:
+            return f"{number} is a composite number."
+
+    return f"{number} is a prime number."
+```
+
+## Prime # Check Bash
+
+```bash
+# Function to check if a number is prime
+is_prime() {
+    local num=$1
+    if ((num <= 1)); then
+        echo "$num is not prime."
+        return 1
+    fi
+    # Function to check factors from 2 to square root(number)
+    for ((i = 2; i <= num / 2; i++)); do
+        if ((num % i == 0)); then
+            echo "$num is not prime."
+            return 1
+        fi
+    done
+    echo "$num is prime."
+}
+```
+
+## Explanation
+
+The Python Script isn't your conventional prime number detector. Instead I took the approach of using a composite number detector that uses the function `is_composite` to show weather the `number` you input is composite. If inputted number is less than 2 then `it's neither prime nor composite`. If previous rule is false(greater than 2) then we run factors of 2 to the square root to determine `results`. Any factor larger than the square root would already have a corresponding smaller factor so will know if our `number is composite` or not.
+
+ Next, the Bash Script is a classic prime numbers check that uses the function `is_prime` to... you've guessed it check if users number is a prime. Said function will first check if the inputted `number` is greater than or equal to 1; If said previous rule was true then the we stop. If false, then it will run sequence to determine if said number is has factors from 2 to square root of number. When done if 2 factors are found it `isn't a prime number` and `is a prime number` if 2 aren't found. System will `echo`(notify user) of final verdict.
+
+## Differences
+
+
+1. **Syntax**: 
+   - In Python, we use `def` as our keyword and `int` as a way to describe the inputted number.
+   - In Bash we use `local` as our keyword and `num`/`$num` as a way to describe inputted number from users.
+   
+2. **Function Calls**:
+   - `Print` is used to call functions and output information for Python while `Echo` is  used for Bash, in which both give info to the the user.
+
+3. **Composite vs Prime**:
+   - The Python script is used to determine weather the inputted number `is a Composite number`; In doing so we also get the reciprocal on if it's a prime number as well.
+   - The Bash Script is the opposite in which where looking for if the inputted number `is prime` and in doing so we get the reciprocal if it isn't.