Detecting Perfect Powers in Essentially Linear Time. Bernstein, D. J. 67(223):1253–1283, American Mathematical Society.
doi  bibtex   
@ARTICLE{Bernstein:1998:DPP,
  AUTHOR = {Bernstein, Daniel J.},
  PUBLISHER = {American Mathematical Society},
  DATE = {1998-07},
  DOI = {10.1090/S0025-5718-98-00952-1},
  ISSN = {0025-5718},
  JOURNALTITLE = {Mathematics of Computation},
  NUMBER = {223},
  PAGES = {1253--1283},
  TITLE = {Detecting Perfect Powers in Essentially Linear Time},
  VOLUME = {67},
}
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