Is it even possible to zip more than 65535 dynamic files with sharpziplib ?

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ASP.NET

C#3.5

ZIP

I'm trying zip 100 000 dynamic files, and on console app i can do it without any problem, but on web app it appears that it's at some kind impossible for my current knowledge level. I would like to know is it really impossible ?

So far zip made on webapp that is bigger than 65535 files crashes on opening.

What I have tried:

I made this test apps but I wasn't able to find answer.

console

static void Main(string[] args)
{
    using (ZipOutputStream zipOutputStream = new ZipOutputStream(File.Create("Test.zip")))
    {
        zipOutputStream.SetLevel(0);
        for (long i = 1; i < 100000; i++)
        {
            string txt = "File " + i.ToString();
            byte[] bytes = System.Text.Encoding.UTF8.GetBytes(txt);
            using (MemoryStream ms = new MemoryStream(bytes))
            {
                ZipEntry entry =
                    new ZipEntry(ZipEntry.CleanName(i.ToString() + ".txt"))
                    {
                        DateTime = DateTime.Now,
                        CompressionMethod = CompressionMethod.Stored,
                        Size = bytes.Length
                    };
                zipOutputStream.PutNextEntry(entry);
                byte[] buffer = new byte[1024];
                ICSharpCode.SharpZipLib.Core.StreamUtils.Copy(ms, zipOutputStream, buffer);
                Console.WriteLine(i.ToString());
            }
        }
    }
}

web

protected void Page_Load(object sender, EventArgs e)
{
    Response.Clear();
    Response.ClearHeaders();
    Response.Cache.SetCacheability(HttpCacheability.NoCache);
    Response.ContentType = "application/octet-stream";
    Response.AddHeader("Content-Disposition", "attachment; filename=" + "file.zip");

    using (ZipOutputStream zipOutputStream = new ZipOutputStream(Response.OutputStream))
    {
        zipOutputStream.SetLevel(0);
        for (long i = 1; i < 100000; i++)
        {
            string txt = "File " + i.ToString();
            byte[] bytes = System.Text.Encoding.UTF8.GetBytes(txt);
            using (MemoryStream ms = new MemoryStream(bytes))
            {
                ZipEntry entry =
                    new ZipEntry(ZipEntry.CleanName(i.ToString() + ".txt"))
                    {
                        DateTime = DateTime.Now,
                        CompressionMethod = CompressionMethod.Stored,
                        Size = bytes.Length
                    };
                zipOutputStream.PutNextEntry(entry);
                byte[] buffer = new byte[1024];
                ICSharpCode.SharpZipLib.Core.StreamUtils.Copy(ms, zipOutputStream, buffer);
                Response.Flush();
            }
        }
    }
    Response.Flush();
    Response.End();
}