23, 35, 57, 711, ….

Options

A. 713
B. 911
C. 913
D. 1113

Explanation

To solve the series: 23, 35, 57, 711, …, we need to identify the pattern in the sequence of numbers.

### Step-by-Step Solution:

1. **Identify the Numbers**: The given series is 23, 35, 57, 711.

2. **Break Down Each Number**: Let's analyze the digits of each number:
- 23 consists of the digits 2 and 3.
- 35 consists of the digits 3 and 5.
- 57 consists of the digits 5 and 7.
- 711 consists of the digits 7, 1, and 1.

3. **Identify the Prime Numbers**: The digits in these numbers are all prime numbers:
- The prime numbers are: 2, 3, 5, 7, 11, 13, etc.

4. **Observe the Pattern**:
- The first number (23) uses the first two prime numbers: 2 and 3.
- The second number (35) uses the next two prime numbers: 3 and 5.
- The third number (57) uses the next two prime numbers: 5 and 7.
- The fourth number (711) uses the next prime number: 7 and 11 (with 1 being repeated).

5. **Find the Next Prime Number**: The next prime number after 11 is 13.

6. **Construct the Next Number**: Following the pattern, the next number should consist of the digits 11 and 13. Therefore, the next number in the series would be 1113.

7. **Conclusion**: The next number in the series is 1113.

### Final Answer:
The next number in the series is **1113**.

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