Answer:

Let's solve the problem step by step.

First let's find all the prime numbers between 62 and 82. The prime numbers in this range are: 67 71 73 79.

Next let's raise each of these prime numbers to the 2nd power:

67^2 = 4489

71^2 = 5041

73^2 = 5329

79^2 = 6241

Now let's check if the given number is the product of two of these squared numbers.

If the number is between 4489 and 5041 it must be the product of 67^2 and another squared number. But no other squared number is within this range so it can't be 67^2.

If the number is between 5041 and 5329 it must be the product of 71^2 and another squared number. But no other squared number is within this range so it can't be 71^2.

If the number is between 5329 and 6241 it must be the product of 73^2 and another squared number. But no other squared number is within this range so it can't be 73^2.

If the number is between 6241 and 6561 it must be the product of 79^2 and another squared number. But again no other squared number is within this range so it can't be 79^2.

Hence there is no number between 62 and 82 that is the product of two different prime factors raised to the 2nd power.