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Armstrong plus one : Armstwo (Posted on 2021-12-27) Difficulty: 3 of 5
An Armstrong number is a positive integer that equals the sum of M-th powers of their digits when the number is M-digit long.
153 is an Armstrong number, since: 13+53+33=153.
Sloane's A005188 has an article on this, in which inter-alia it is mentioned that the sequence of Armstrong numbers terminates at the 88th term.

An Armstwo number is a base ten, M-digit long positive integer which is equal to the sum of M-th powers of one greater than each of the digits.
For example, if we check for 153, we find that:
23+63+43= 288, which is NOT equal to 153.

Determine the smallest Armstwo number.

**** Heartfelt thanks to Larry for inspiring this puzzle.

See The Solution Submitted by K Sengupta    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Proof of finite number of solutionsPaul2021-12-27 20:26:53
SolutionMATLAB solutionCharlie2021-12-27 11:31:01
SolutionSolutionLarry2021-12-27 10:35:31
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