community wiki - 5 months ago 33

Javascript Question

Is there are trick to get the modulo of big numbers in Javascript. I am getting infinity with

`modulo(7, 16971, 25777)`

`function modulo (n, p, m){`

var x = Math.pow(n, p);

var y = m;

var z = x%y;

alert(x);

return z;

}

Answer

There's a mathematical "trick" you can use, if you can assume all parameters are **integers**.

Consider the following modulo operation:

(a*x + y) % x

Obviously, the *a*x* part can be discarded and the following holds:

(a*x + y) % x = y % x

With that in mind we can assume the big number is just *a*x + y*, and we can perform the modulo at any stage, and as often as we like, so, to get the result you want, do this:

```
function modulo (n, p, m){
var result = 1;
while(p--) {
result = (result * n) % m;
}
return result;
}
console.log(modulo(7, 16971, 25777));
```