Israel Journal of Mathematics

, Volume 38, Issue 3, pp 221–230 | Cite as

A new criterion for 7 to be a fourth power (modp)

  • Richard H. Hudson
  • Kenneth S. Williams


A new application is made of Muskat’s evaluation of the cyclotomic numbers of order fourteen, to obtain a necessary and sufficient condition for seven to be a fourth power modulo a prime≡1 (mod 28).


Fourth Power Primitive Root Index Formula Acta Arith South CAROLINA 
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Copyright information

© Hebrew University 1981

Authors and Affiliations

  • Richard H. Hudson
    • 1
    • 2
  • Kenneth S. Williams
    • 1
    • 2
  1. 1.Department of Mathematics and StatisticsUniversity of South CarolinaColumbiaUSA
  2. 2.Department of Mathematics and StatisticsCarleton UniversityOttawaCanada

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