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Successive Differences and Accumulations of the Jacobi Symbol


	Render modular results of successive accumulations or differences for Jacobi symbols for the range -59 to 59. The Jacobi symbol extends the Legendre symbol, allowing a generalization of Gauss's celebrated quadratic reciprocity theorem.


	Contributed by: Michael Schreiber
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A number

is called a quadratic residue modulo

if there is a positive integer

such that

. The Jacobi symbol

is 0 for numbers

and

with a common factor, 1 if

is a quadratic residue modulo

, and -1 otherwise. The Jacobi symbol reduces to the Legendre symbol if

is an odd prime

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