diff --git a/collects/tests/mzscheme/number.ss b/collects/tests/mzscheme/number.ss
index 476546a18d..99f17c2a0e 100644
--- a/collects/tests/mzscheme/number.ss
+++ b/collects/tests/mzscheme/number.ss
@@ -1982,7 +1982,7 @@
       'random-seed-same
       (begin (random-seed 23) (list (random 10) (random 20) (random 30))))
 (arity-test random-seed 1 1)
-(arity-test random 0 1)
+(arity-test random 0 2)
 (err/rt-test (random-seed "apple"))
 (err/rt-test (random-seed 4.5))
 (err/rt-test (random-seed -1))
@@ -1991,7 +1991,8 @@
 (err/rt-test (random "apple"))
 (err/rt-test (random 0))
 (err/rt-test (random -6))
-(err/rt-test (random (expt 2 31)))
+(err/rt-test (random 4294967088))
+(err/rt-test (random (expt 2 32)))
 (err/rt-test (random big-num))
 
 (random-seed 101)