using System.Collections.Generic;
using System.Numerics;
namespace Algorithms.Sequences
{
/// <summary>
/// <para>
/// Sequence of Euclid numbers: 1 + product of the first n primes.
/// </para>
/// <para>
/// Wikipedia: https://wikipedia.org/wiki/Euclid_number.
/// </para>
/// <para>
/// OEIS: https://oeis.org/A006862.
/// </para>
/// </summary>
public class EuclidNumbersSequence : ISequence
{
/// <summary>
/// Gets sequence of Euclid numbers.
/// </summary>
public IEnumerable<BigInteger> Sequence
{
get
{
var primorialNumbers = new PrimorialNumbersSequence().Sequence;
foreach (var n in primorialNumbers)
{
yield return n + 1;
}
}
}
}
}