On xn + yn = n!zn
In p. 219 of R.K. Guy's Unsolved Problems in Number Theory, 3rd edn., Springer, New York, 2004, we are asked to prove that the Diophantine equation xn + yn = n!zn has no integer solutions with n ∈ N+ and n > 2. But, contrary to this expectation, we show that for n = 3, this equation has in f...
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| Format: | Article |
| Language: | English |
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Sciendo
2018-06-01
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| Series: | Communications in Mathematics |
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| Online Access: | https://doi.org/10.2478/cm-2018-0002 |