diff --git a/doc/src/sgml/func.sgml b/doc/src/sgml/func.sgml
index 8b4283e3cc4..44cc4875323 100644
--- a/doc/src/sgml/func.sgml
+++ b/doc/src/sgml/func.sgml
@@ -1171,6 +1171,9 @@
    subsequent <function>random()</function> calls in the current session are
    repeatable by re-issuing <function>setseed()</function> with the same
    argument.
+   Without any prior <function>setseed()</function> call in the same
+   session, the first <function>random()</function> call obtains a seed
+   from a platform-dependent source of random bits.
   </para>
 
   <para>
diff --git a/doc/src/sgml/ref/set.sgml b/doc/src/sgml/ref/set.sgml
index 63f312e812a..22d0e3f6e49 100644
--- a/doc/src/sgml/ref/set.sgml
+++ b/doc/src/sgml/ref/set.sgml
@@ -175,8 +175,7 @@ SET [ SESSION | LOCAL ] TIME ZONE { <replaceable class="parameter">timezone</rep
       <para>
        Sets the internal seed for the random number generator (the
        function <function>random</function>).  Allowed values are
-       floating-point numbers between -1 and 1, which are then
-       multiplied by 2<superscript>31</superscript>-1.
+       floating-point numbers between -1 and 1 inclusive.
       </para>
 
       <para>