2,3,5,7,11,13,17,19,……….are

Options

A. even numbers
B. prime numbers
C. odd numbers
D. composite numbers

Answer

To determine the nature of the sequence 2, 3, 5, 7, 11, 13, 17, 19, we will analyze the options provided: even numbers, prime numbers, odd numbers, and whole numbers.

### Step-by-Step Solution:

1. **Identify the Sequence**: The given sequence is 2, 3, 5, 7, 11, 13, 17, 19.

2. **Check for Even Numbers**:
- An even number is defined as any integer that is divisible by 2.
- In the sequence, only the number 2 is even. The rest (3, 5, 7, 11, 13, 17, 19) are not even.
- Conclusion: This sequence is not an even number series.

3. **Check for Odd Numbers**:
- Odd numbers are integers that are not divisible by 2.
- The numbers 3, 5, 7, 11, 13, 17, and 19 are all odd, but since 2 is included and it is even, the sequence cannot be classified as an odd number series.
- Conclusion: This sequence is not an odd number series.

4. **Check for Whole Numbers**:
- Whole numbers are non-negative integers starting from 0 (0, 1, 2, 3, ...).
- The sequence contains whole numbers (2, 3, 5, 7, 11, 13, 17, 19) but since it does not start from 0, it cannot be classified strictly as a whole number series.
- Conclusion: This sequence is not strictly a whole number series.

5. **Check for Prime Numbers**:
- A prime number is defined as a number greater than 1 that has no positive divisors other than 1 and itself.
- The numbers in the sequence (2, 3, 5, 7, 11, 13, 17, 19) are all prime numbers.
- Conclusion: This sequence is indeed a prime number series.

### Final Answer:
The sequence 2, 3, 5, 7, 11, 13, 17, 19 consists of **prime numbers**.

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