Question : The product of two consecutive prime numbers is 7387. What is the difference of the two numbers?
Option 1: 3
Option 2: 6
Option 3: 2
Option 4: 4
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Correct Answer: 6
Solution :
The product of two consecutive prime numbers = 7387
$86^2=7396$ is closest to 7387.
So, the prime numbers close to 86 are 83 and 89, which are consecutive.
7387 = 83 × 89
$\therefore$ Difference = 89 – 83 = 6
Hence, the correct answer is 6.
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