diff --git a/language/case_spec.rb b/language/case_spec.rb
index 8355062e4..705a48967 100644
--- a/language/case_spec.rb
+++ b/language/case_spec.rb
@@ -27,6 +27,41 @@ def bar; @calls << :bar; end
     @calls.should == [:foo, :bar]
   end
 
+  it "matches an Integer literal whose value does not fit in a 32-bit int" do
+    big = 10_000_000_000
+    case big
+    when 10_000_000_000; true
+    else                 false
+    end.should == true
+
+    case -3_000_000_000
+    when -3_000_000_000; true
+    else                 false
+    end.should == true
+  end
+
+  it "matches an arbitrary-precision Integer literal" do
+    huge = 1 << 100
+    case huge
+    when 1 << 100; true
+    else           false
+    end.should == true
+  end
+
+  it "dispatches correctly with mixed small and large Integer literals" do
+    pick = -> x {
+      case x
+      when 1 << 100       then :beyond_long
+      when 10_000_000_000 then :beyond_int
+      when 1              then :fits_int
+      else                     :other
+      end
+    }
+
+    [1 << 100, 10_000_000_000, 1, :nope].map(&pick).should ==
+      [:beyond_long, :beyond_int, :fits_int, :other]
+  end
+
   it "evaluates the body of the when clause whose range expression includes the case target expression" do
     case 5
     when 21..30; false
diff --git a/language/if_spec.rb b/language/if_spec.rb
index 53fcb853d..2ea471e0e 100644
--- a/language/if_spec.rb
+++ b/language/if_spec.rb
@@ -147,6 +147,31 @@
     end.should == 123
   end
 
+  it "compares against an Integer literal whose value does not fit in a 32-bit int" do
+    x = 10_000_000_000
+    if x == 10_000_000_000
+      :match
+    else
+      :miss
+    end.should == :match
+
+    y = -3_000_000_000
+    if y == -3_000_000_000
+      :match
+    else
+      :miss
+    end.should == :match
+  end
+
+  it "compares against an arbitrary-precision Integer literal" do
+    x = 1 << 100
+    if x == 1 << 100
+      :match
+    else
+      :miss
+    end.should == :match
+  end
+
   it "allows starting else-body on the same line" do
     if false
       123