The Lazy Numbers
- The Lazy Numbers
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Let’s define by lazy numbers, those numbers which are constructed by consecutive digits.
For example 45 is lazy number. 789 is lazy number. 456789 is lazy number too.
Today I was analyzing the lazy numbers set, when I suddenly found such three-digit lazy number, which is exactly 2 less than a cube and 2 more than a square. By cube and square I define some random integer cube and square.
Can you found this number?
Can you prove it’s only one?