Programming_Assignment_3.py

1. Python Program to Check if a Number is Positive, Negative or Zero:

```python
num = float(input("Enter a number: "))
if num > 0:
    print("The number is positive")
elif num < 0:
    print("The number is negative")
else:
    print("The number is zero")
```

2. Python Program to Check if a Number is Odd or Even:

```python
num = int(input("Enter a number: "))
if num % 2 == 0:
    print("The number is even")
else:
    print("The number is odd")
```

3. Python Program to Check Leap Year:

```python
year = int(input("Enter a year: "))
if (year % 4 == 0 and year % 100 != 0) or (year % 400 == 0):
    print(f"{year} is a leap year")
else:
    print(f"{year} is not a leap year")
```

4. Python Program to Check Prime Number:

```python
num = int(input("Enter a number: "))
if num > 1:
    for i in range(2, int(num ** 0.5) + 1):
        if (num % i) == 0:
            print(f"{num} is not a prime number")
            break
    else:
        print(f"{num} is a prime number")
else:
    print(f"{num} is not a prime number")
```

5. Python Program to Print all Prime Numbers in an Interval of 1-10000:

```python
print("Prime numbers between 1 and 10000:")
for num in range(1, 10001):
    if num > 1:
        for i in range(2, int(num ** 0.5) + 1):
            if (num % i) == 0:
                break
        else:
            print(num)
```