Chat GPT came up with an interesting question. I have modified it slightly to involve some different options. I believe I have solutions, for each part, derived programmatically. ChatGPT suggests a more sophisticated solution for part f).
Questions:
a) Find the smallest positive integer n, such that 2n is a digit- permutations of n?
b) Find the smallest positive integer n, such that 3n, is a digit- permutations of n?
c) Find the smallest positive integer n, such that 4n is a digit- permutations of n?
d) Find the smallest positive integer n, such that 5n is a digit- permutations of n?
e) Find the smallest positive integer n, such that 6n is a digit- permutations of n?
f) Find the smallest positive integer n, such that 2n, 3n, 4n, 5n, and 6n are all digit-permutations of n?
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