Can Two Consecutive Numbers Both Be Perfect?: 10711

Florian Luca, Francis B. Coghlan. Can Two Consecutive Numbers Both Be Perfect?: 10711. The American Mathematical Monthly, 108(1):80-81, 2001. [doi]

@article{LucaC01,
  title = {Can Two Consecutive Numbers Both Be Perfect?: 10711},
  author = {Florian Luca and Francis B. Coghlan},
  year = {2001},
  url = {http://www.jstor.org/stable/2695692},
  researchr = {https://researchr.org/publication/LucaC01},
  cites = {0},
  citedby = {0},
  journal = {The American Mathematical Monthly},
  volume = {108},
  number = {1},
  pages = {80-81},
}