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Old 2020-06-14, 08:04   #1
enzocreti
 
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Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?
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Old 2020-06-14, 09:13   #2
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Quote:
Originally Posted by enzocreti View Post
Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?
0^3 is a cube. Reversed is 0 and that is 1 less than 1 which is also a cube: 1^3
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Old 2020-06-14, 11:44   #3
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Quote:
Originally Posted by enzocreti View Post
Is 512 the only cube with the property that if the digits are reversed, the reverse 215 is a cube minus one?
If you allow for leading zeroes to removed there are infinite many solutions:

(8*10^n)^3 == 512*10^(3*n). Reversed it is 000...000215 which is 1 fewer than 6^3
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