diff --git a/winsup/cygwin/external.cc b/winsup/cygwin/external.cc
index 3a9130efd..ae30695a1 100644
--- a/winsup/cygwin/external.cc
+++ b/winsup/cygwin/external.cc
@@ -63,19 +63,23 @@ fillout_pinfo (pid_t pid, int winpid)
       _pinfo *p = pids[i];
       i++;
 
+      /* Native Windows process not started from Cygwin have no procinfo
+	 attached.  They don't have a real Cygwin PID either.  We fake a
+	 Cygwin PID beyond MAX_PID. */
       if (!p)
 	{
-	  if (!nextpid && thispid != (DWORD) pid)
+	  if (!nextpid && thispid + MAX_PID != (DWORD) pid)
 	    continue;
-	  ep.pid = cygwin_pid (thispid);
+	  ep.pid = thispid + MAX_PID;
 	  ep.dwProcessId = thispid;
 	  ep.process_state = PID_IN_USE;
 	  ep.ctty = -1;
 	  break;
 	}
-      else if (nextpid || p->pid == pid || (winpid && thispid == (DWORD) pid))
+      else if (nextpid || p->pid == pid)
 	{
-	  ep.ctty = (p->ctty < 0 || iscons_dev (p->ctty)) ? p->ctty : device::minor (p->ctty);
+	  ep.ctty = (p->ctty < 0 || iscons_dev (p->ctty))
+		    ? p->ctty : device::minor (p->ctty);
 	  ep.pid = p->pid;
 	  ep.ppid = p->ppid;
 	  ep.dwProcessId = p->dwProcessId;
diff --git a/winsup/cygwin/pinfo.cc b/winsup/cygwin/pinfo.cc
index 98168c76a..c9025774f 100644
--- a/winsup/cygwin/pinfo.cc
+++ b/winsup/cygwin/pinfo.cc
@@ -241,7 +241,7 @@ create_cygwin_pid ()
       do
 	{
 	  pid = ((uint32_t) InterlockedIncrement (&cygwin_shared->pid_src))
-		% 65536;
+		% MAX_PID;
 	}
       while (pid < 2);
       __small_swprintf (sym_name, L"cygpid.%u", pid);
diff --git a/winsup/cygwin/pinfo.h b/winsup/cygwin/pinfo.h
index 81e10d3d5..a1e5afe23 100644
--- a/winsup/cygwin/pinfo.h
+++ b/winsup/cygwin/pinfo.h
@@ -211,6 +211,8 @@ private:
   DWORD status_exit (DWORD);
 };
 
+#define MAX_PID 65536
+
 #define ISSTATE(p, f)	(!!((p)->process_state & f))
 #define NOTSTATE(p, f)	(!((p)->process_state & f))