**Step 1:** The number of decimal places in a product is typically the sum of the decimal places of the numbers being multiplied.

We need to find all the numbers between 1 and 100 that have a '2' in the tens digit position. These are the numbers in the twenties.

**Method 1: Using Algebra**

To solve this, we can factor out the smallest term, which is $3^{71}$, from the expression.

We use the algebraic identity: for an odd integer $n$, the expression $(a^n + b^n)$ is always divisible by $(a+b)$.

**Step 1:** Divide 1739 by 11 to find the remainder.

We use the algebraic identity: $(a^n - b^n)$ is always divisible by $(a-b)$ for any positive integer $n$.

We are looking for numbers that satisfy three conditions:

**Step 1:** The smallest five-digit number is 10000.

- **Greatest six-digit number:** 999,999