Legendre Symbol
If
is an Odd Prime, then the Jacobi Symbol reduces to the Legendre symbol. The Legendre symbolobeys 
.
See also Jacobi Symbol, Kronecker Symbol, Quadratic Reciprocity Theorem
References
Guy, R. K. ``Quadratic Residues. Schur's Conjecture.'' §F5 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 244-245, 1994. Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 33-34 and 40-42, 1993.
- Prime Decomposition
- Prime Difference Function
- Prime Diophantine Equations
- Prime Factorization
- Prime Factorization Algorithms
- Prime Factors
- Prime Field
- Prime Gaps
- Prime-Generating Polynomial
- Prime Group
- Prime Ideal
- Prime Knot
- Prime k-Tuple
- Prime k-Tuples Conjecture
- Prime k-Tuplet
- Prime Manifold
- Prime Number
- Prime Number of Measurement
- Prime Number Theorem
- Prime Pairs
- Prime Patterns Conjecture
- Prime Polynomial
- Prime Power Conjecture
- Prime Power Symbol
- Primequad