PHP - gmp_jacobi() Function

Definition and Usage

The gmp_jacobi() function calculates the jacobi symbol.

The Jacobi symbol is a generalization of the Legendre symbol.

gmp_jacobi ( GMP $a , GMP $p ) : int

Sr.No	Parameter & Description
1	a It can a GMP resource number , a gmp object or a numeric string.
2	b It can a GMP resource number , a gmp object or a numeric string. The value of b has to be positive and odd.

Sr.No

Parameter & Description

It can a GMP resource number , a gmp object or a numeric string.

It can a GMP resource number , a gmp object or a numeric string. The value of b has to be positive and odd.

PHP gmp_jacobi() function returns a Jacobi symbol for the given GMP number.

This function will work from PHP Version greater than 5.0.0.

Working of gmp_jacobi −

<?php
   $js = gmp_jacobi("1", "3");
   echo "The Jacobi symbol of 1/3 is :".$js;
?>

This will produce following result −

The Jacobi symbol of 1/3 is :1

Working of gmp_jacobi −

<?php
   $js = gmp_jacobi("3", "11");
   echo "The Jacobi symbol of 3/11 is :".$js;
?>

This will produce following result −

The Jacobi symbol of 3/11 is :1

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