02 Jan '07 15:23

**PART 1:**

Find a cycle of five 4-digit numbers such that the last 2 digits of each number are equal to the first 2 digits of the next number in the cycle. Each of the 5 numbers must be exactly one of the following types (with each of the 5 types being represented exactly once): Square, Cube, Triangular, Prime, Fibonacci.

**The solution is unique.**

**PART 2:**

Find a cycle of six 4-digit numbers such that the last 2 digits of each number are equal to the first 2 digits of the next number in the cycle. Each of the 6 numbers must be exactly one of the following types (with each of the 6 types being represented exactly once): Square, Cube, Triangular, Prime, Fibonacci, Power-of-Two.

**The solution is unique.**