6 and 7.
They are (13-1)/2 and (13+1)/2
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12 and 13
Find 3 consecutive numbers where the product of the smaller two numbers is 19 less than the square of the largest number.
The numbers are 88 and 89 (88 x 89 = 7,832). This is very easy to find. The products you are looking for are consecutive and so they are very close to each other. Calculate the square root of the number, and it is easy to see that if there are two consecutive whole numbers that will be products of the number, they will be consecutive whole numbers very close to the square root. The square root of 7832 is about 88.5.
5.385 is the square root of 29. No consecutive numbers.
11,12,13