In the following number series, one number is incorrect. Identify the wrong number:

2194, 2175, 2152, 2123, 2092, 2054, 2014

Question

In the following number series, one number is incorrect. Identify the wrong number:

2194, 2175, 2152, 2123, 2092, 2054, 2014

Accepted Answer

**Solution:**

1. Observe the differences between consecutive terms:
   - $2194 - 2175 = 19$
   - $2175 - 2152 = 23$
   - $2152 - 2123 = 29$
   - $2123 - 2092 = 31$
   - $2092 - 2054 = 38$
   - $2054 - 2014 = 40$

2. The differences should follow a pattern of consecutive prime numbers:
   - $19, 23, 29, 31, 37, 41$

3. Check the differences again with this pattern:
   - $2194 - 2175 = 19$ (correct)
   - $2175 - 2152 = 23$ (correct)
   - $2152 - 2123 = 29$ (correct)
   - $2123 - 2092 = 31$ (correct)
   - $2092 - 2054 = 38$ (incorrect, should be 37)

4. Since $38$ is not a prime number and does not fit the pattern, the term $2054$ is incorrect.

5. The correct term should be:
   $$2092 - 37 = 2055$$

**Answer:** $2054$ is the wrong number in the series.

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