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A comment on Only one pair of integers satisfy the equation m^n = n^m. Parent comment

Re:Only one pair of integers satisfy the equation m^n = n^m by bustermellotron on Thursday April 20, 2023 @03:45PM (#35645256)
The “claim” more or less proves that k-1 th root of k is less than 2 if k is larger than 2. So I think your argument is equivalent.
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