Web Reference: Nov 1, 2010 · For Java, switching to big integer might be prudent, or at least doing a runtime check on the size of p and throwing an exception. Finally, if this is for cryptographic purposes, you should probably be using a library to do this, rather than implementing it yourself. Feb 5, 2026 · We initialize the result as 1 and iterate from 1 to n, updating the result by multiplying it with x and taking the modulo by M in each step to keep the number within integer bounds. Modular exponentiation is a mathematical operation that calculates the remainder when a number is raised to a certain power and then divided by a modulus. In the context of Java, the modPow() method in the BigInteger class allows you to perform this operation with arbitrarily large integers.
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