You are not currently logged in.

Access your personal account or get JSTOR access through your library or other institution:


Log in to your personal account or through your institution.

Evaluation of Certain Legendre Symbols

David Angell
The American Mathematical Monthly
Vol. 119, No. 8 (October 2012), pp. 690-693
DOI: 10.4169/amer.math.monthly.119.08.690
Stable URL:
Page Count: 4
  • Download ($19.00)
  • Subscribe ($19.50)
  • Cite this Item
Item Type
Evaluation of Certain Legendre Symbols
Preview not available


Abstract We state and prove an apparently hitherto unrecorded evaluation of certain Legendre symbols: if p is prime, p ≠ 2, and ab = p − 1, then the Legendre symbol \documentclass{article} \pagestyle{empty}\begin{document} $\legendre{b}{p}$ \end{document} is given by \documentclass{article} \pagestyle{empty}\begin{document} $$\legendre{b}{p}=(-1)^{\lceil a/2\rceil\lfloor b/2\rfloor}.$$ \end{document}

Page Thumbnails