Number Cycles


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.

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8117, 1728, 2850, 5041, 4181 (Prime, Cube, Triangular, Square, Fibonacci)


pg... said...

5041 square(71^2)
1728 cube(12^3)
8117 prime( no factors)
4181 Fibonacci(1 1 2 3 5,8,13,21,34,55,89,144,233,377, 610,987, 1597, 2584, 4181)
2850 triangular( 75 the triangular number)

2850, 5041, 4181, 8117,1728

pg... said...

2850 is 75th triangular number

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