Consider the pairs of prime numbers (m,n) between 50 and 100 such that m-n=6. How many such pairs are there?

Explanation

The prime numbers between 50 and 100 are 53, 59, 61, 67, 71, 73, 79, 83, 89, 97. The pairs with a difference of 6 are (59,53), (67,61), (73,67), (79,73), and (89,83). There are 5 such pairs.

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