Henry Dudeney noted the existence of numbers with a certain unusual property, which are now known as Dudeney numbers. there
are only six such numbers: 1, 512, 4913, 5832, 17576, and 19683.
What do they all have in common?
Solution to the Problem:
Adding up the digits in any of these numbers and cubing the sum yields the number itself.E.g., 5 + 1 + 2 = 8; 8x8x8 = 512.
Correctly solved by:
| 1. Vikash Kumar | New Delhi, India |
| 2. James Alarie | Flint, Michigan |