diff --git a/reference/math/functions/mt-getrandmax.xml b/reference/math/functions/mt-getrandmax.xml
index 1f82f810bc..2ae1b3c67a 100644
--- a/reference/math/functions/mt-getrandmax.xml
+++ b/reference/math/functions/mt-getrandmax.xml
@@ -19,7 +19,10 @@
&reftitle.returnvalues;
- Returns the maximum random value returned by mt_rand
+ Returns the maximum random value returned by a call to
+ mt_rand without arguments, which is the maximum value
+ that can be used for its max parameter without the
+ result being scaled up (and therefore less random).
diff --git a/reference/math/functions/mt-rand.xml b/reference/math/functions/mt-rand.xml
index 8e32a52c52..5643deb68d 100644
--- a/reference/math/functions/mt-rand.xml
+++ b/reference/math/functions/mt-rand.xml
@@ -124,6 +124,9 @@ echo mt_rand(5, 15);
The distribution of mt_rand return values is biased
towards even numbers on 64-bit builds of PHP when
max is beyond 2^32.
+ This is because if max is greater than
+ the value returned by mt_getrandmax, the output of the
+ random number generator must be scaled up.