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POwhat value should be chosen for certainity to get a 512 bit prime number using BigInteger class in Java?
 

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  1. POwhat value should be chosen for certainity to get a 512 bit prime number using BigInteger class in Java?
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    <p>The <code>BigInteger</code> constructor in Java: </p> <pre><code>public BigInteger(int bitLength, int certainty, Random rnd) </code></pre> <p>Constructs a randomly generated positive <code>BigInteger</code> that is probably prime, with the specified <code>bitLength</code>. It is recommended that the <code>probablePrime</code> method be used in preference to this constructor unless there is a compelling need to specify a certainty. </p> <p>Parameters:</p> <pre><code>bitLength - bitLength of the returned BigInteger. certainty - a measure of the uncertainty that the caller is willing to tolerate. The probability that the new BigInteger represents a prime number will exceed (1 - 1/2certainty). The execution time of this constructor is proportional to the value of this parameter. rnd - source of random bits used to select candidates to be tested for primality. </code></pre> <p>DOES this means Higher the value for certainty, more is the probability to get a prime number? In this case what value should be chosen for certainty to get a 512 bit prime number?</p>
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