/// <summary>
/// Computes the Product of the prime numbers in the given sieveRange.
/// </summary>
/// <param name="range">The sieveRange of the enumeration.</param>
/// <returns>The Product of the prime numbers in the enumeration.
/// </returns>
public XInt GetPrimorial(PositiveRange range)
{
int start, size;
var pc = new PrimeCollection(this, range);
if (pc.GetSliceParameters(out start, out size))
{
return(XInt.One);
}
return(XMath.Product(this.primes, start, size));
}
/// <summary>
/// Computes the Product of the prime numbers in the given sieveRange
/// primes[start]*primes[start+increment]*primes[start+2*increment]*...
/// </summary>
/// <param name="low">Lower bound of the sieveRange of the enumeration.</param>
/// <param name="high">Higher bound of the sieveRange of the enumeration.</param>
/// <returns>The Product of the prime numbers in the enumeration.</returns>
public XInt GetPrimorial(int low, int high, int increment)
{
if (increment == 1)
{
return(this.GetPrimorial(new PositiveRange(low, high)));
}
var range = new PositiveRange(low, high);
var pc = new PrimeCollection(this, range, increment);
int start, size;
if (pc.GetSliceParameters(out start, out size))
{
return(XInt.One);
}
return(XMath.Product(this.primes, start, size, increment));
}