Difference between BigInteger.probablePrime() and other primality algorithms in java

Question

I am implementing an RSA encryption program using Java. Right now I am using BigInteger.probablePrime(1024, rnd) to get prime numbers. Here rnd

Answer 1

BigInteger's probable prime methods use both the Miller-Rabin and Lucas-Lehmer algorithms to test primality.

See the internal method BigInteger.primeToCertainty.

Answer 2

The Java source code is available for download, so you can look at it yourself. Here is the code for BigInteger.probablePrime(int, Random):

public static BigInteger probablePrime(int bitLength, Random rnd) {

    if (bitLength < 2)
        throw new ArithmeticException("bitLength < 2");

    // The cutoff of 95 was chosen empirically for best performance

    return (bitLength < SMALL_PRIME_THRESHOLD ?
            smallPrime(bitLength, DEFAULT_PRIME_CERTAINTY, rnd) :
            largePrime(bitLength, DEFAULT_PRIME_CERTAINTY, rnd));
}

The actual tests are contained in the smallPrime() and largePrime() methods, which follow directly in the source code.