using System.Collections.Generic;
using System.Numerics;

namespace Algorithms.Sequences
{
    /// <summary>
    ///     <para>
    ///         Sequence of primorial numbers: product of first n primes.
    ///     </para>
    ///     <para>
    ///         Wikipedia: https://wikipedia.org/wiki/Primorial.
    ///     </para>
    ///     <para>
    ///         OEIS: https://oeis.org/A002110.
    ///     </para>
    /// </summary>
    public class PrimorialNumbersSequence : ISequence
    {
        /// <summary>
        /// Gets sequence of primorial numbers.
        /// </summary>
        public IEnumerable<BigInteger> Sequence
        {
            get
            {
                var primes = new PrimesSequence().Sequence;
                var n = new BigInteger(1);

                foreach (var p in primes)
                {
                    yield return n;
                    n *= p;
                }
            }
        }
    }
}