diff --git a/changes/ticket23637 b/changes/ticket23637
new file mode 100644
index 0000000000..8687ab1a01
--- /dev/null
+++ b/changes/ticket23637
@@ -0,0 +1,5 @@
+  o Minor features:
+    - Make the "Exit" flag assignment only depend on whether the exit
+      policy allows connections to ports 80 and 443. Previously relays
+      would get the Exit flag if they allowed connections to one of
+      these ports and also port 6667. Resolves ticket 23637.
diff --git a/src/or/policies.c b/src/or/policies.c
index 4c24bfbc32..78451db8fc 100644
--- a/src/or/policies.c
+++ b/src/or/policies.c
@@ -2186,21 +2186,16 @@ exit_policy_is_general_exit_helper(smartlist_t *policy, int port)
 }
 
 /** Return true iff <b>ri</b> is "useful as an exit node", meaning
- * it allows exit to at least one /8 address space for at least
- * two of ports 80, 443, and 6667. */
+ * it allows exit to at least one /8 address space for each of ports 80
+ * and 443. */
 int
 exit_policy_is_general_exit(smartlist_t *policy)
 {
-  static const int ports[] = { 80, 443, 6667 };
-  int n_allowed = 0;
-  int i;
   if (!policy) /*XXXX disallow NULL policies? */
     return 0;
 
-  for (i = 0; i < 3; ++i) {
-    n_allowed += exit_policy_is_general_exit_helper(policy, ports[i]);
-  }
-  return n_allowed >= 2;
+  return (exit_policy_is_general_exit_helper(policy, 80) &&
+          exit_policy_is_general_exit_helper(policy, 443));
 }
 
 /** Return false if <b>policy</b> might permit access to some addr:port;