Cannot get mod to return correct value

I am trying to solve:

3^233 mod(353).

In Matlab, mod(3^233,353) = 92

But the correct answer is 248.

Is the number to large? Is this a configuration issue? Is there not enough digits being kept for the calculation? Do I need to do this another way?

Thank you.

Answer 1

[Fangjun Jiang]

3^233 is an integer. Its value is roughly 1.5e111. So it needs 112 digits to record the integer value accurately. Double-precision data can't do that. I don't think MATLAB is the right tool for this.

Floating-Point Numbers

[Eugene Browder]

Thank you for responding. I was trying to find the max values that could be used. Especially for the mod function.

Answer 2

[jonas]

You could try this FEX TB by John D'Errico.

https://se.mathworks.com/matlabcentral/fileexchange/22725-variable-precision-integer-arithmetic

[Eugene Browder]

Thank you for responding. That looks promising. I will give that a try.