Make a list of seven consecutive numbers , none of which is prime .

Answer

To solve the problem of finding seven consecutive numbers none of which is prime, we can follow these steps:

### Step-by-Step Solution:

1. **Understand Prime Numbers**:
- Prime numbers are numbers greater than 1 that have no positive divisors other than 1 and themselves. This means they can only be divided evenly by 1 and the number itself.

2. **Identify Consecutive Numbers**:
- Consecutive numbers are numbers that follow each other in order. For example, if we start at 1, the consecutive numbers would be 1, 2, 3, 4, etc.

3. **Find a Range of Numbers**:
- We need to find a range of seven consecutive numbers. Let's start with a number that is likely to yield non-prime results.

4. **Choose a Starting Point**:
- A good starting point is 90. This is because 90 is a composite number (not prime), and we can check the next six numbers.

5. **List the Seven Consecutive Numbers**:
- The seven consecutive numbers starting from 90 are:
- 90, 91, 92, 93, 94, 95, 96

6. **Check Each Number for Primality**:
- Now, we need to check if each of these numbers is prime:
- **90**: Not prime (divisible by 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45)
- **91**: Not prime (divisible by 1, 7, 13)
- **92**: Not prime (divisible by 1, 2, 4, 23)
- **93**: Not prime (divisible by 1, 3, 31)
- **94**: Not prime (divisible by 1, 2, 47)
- **95**: Not prime (divisible by 1, 5, 19)
- **96**: Not prime (divisible by 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48)

7. **Conclusion**:
- Since none of the numbers 90, 91, 92, 93, 94, 95, and 96 are prime, we have successfully found seven consecutive numbers that meet the criteria.

### Final Answer:
The seven consecutive numbers are **90, 91, 92, 93, 94, 95, and 96**.