diff --git a/src/main/java/com/cloudbees/syslog/SyslogMessage.java b/src/main/java/com/cloudbees/syslog/SyslogMessage.java
index b407845..f9a4e6d 100755
--- a/src/main/java/com/cloudbees/syslog/SyslogMessage.java
+++ b/src/main/java/com/cloudbees/syslog/SyslogMessage.java
@@ -341,7 +341,7 @@ public String toRfc3164SyslogMessage() {
      */
     public void toRfc3164SyslogMessage(Writer out) throws IOException {
 
-        int pri = facility.numericalCode() + severity.numericalCode();
+        int pri = facility.numericalCode() * 8 + severity.numericalCode();
 
         out.write('<');
         out.write(Integer.toString(pri));
diff --git a/src/test/java/com/cloudbees/syslog/SyslogMessageTest.java b/src/test/java/com/cloudbees/syslog/SyslogMessageTest.java
index f1ab066..576ed77 100755
--- a/src/test/java/com/cloudbees/syslog/SyslogMessageTest.java
+++ b/src/test/java/com/cloudbees/syslog/SyslogMessageTest.java
@@ -111,7 +111,7 @@ public void testRfc3164Format() throws Exception {
                 .withMsg("a syslog message");
 
         String actual = message.toRfc3164SyslogMessage();
-        String expected = "<7>Dec 05 10:30:05 myserver.example.com my_app: a syslog message";
+        String expected = "<14>Dec 05 10:30:05 myserver.example.com my_app: a syslog message";
 
         assertThat(actual, is(expected));