diff --git a/base/random/RNGs.jl b/base/random/RNGs.jl
index e27a24b42c2d6..84cdf4403f41e 100644
--- a/base/random/RNGs.jl
+++ b/base/random/RNGs.jl
@@ -313,8 +313,11 @@ rand(r::MersenneTwister, sp::SamplerTrivial{Close1Open2_64}) =
 
 #### integers
 
-rand(r::MersenneTwister, T::SamplerUnion(BitInteger)) = mt_pop!(r, T[])
-rand(r::MersenneTwister, ::SamplerType{Bool}) = rand(r, UInt8) % Bool
+rand(r::MersenneTwister, T::SamplerUnion(Union{Int64,UInt64,Int128,UInt128})) =
+    mt_pop!(r, T[])
+
+rand(r::MersenneTwister, T::SamplerUnion(Union{Bool,Int8,UInt8,Int16,UInt16,Int32,UInt32})) =
+    rand(r, UInt52Raw()) % T[]
 
 #### arrays of floats
 
diff --git a/test/random.jl b/test/random.jl
index 392afc86a662c..ef1ea7d74601d 100644
--- a/test/random.jl
+++ b/test/random.jl
@@ -278,10 +278,10 @@ let mt = MersenneTwister(0)
         B = Vector{T}(uninitialized, 31)
         rand!(mt, A)
         rand!(mt, B)
-        @test A[end] == Any[21, 0x4e, -3158, 0x0ded, 2132370312, 0x5e76d222, 1701112237820550475, 0x552ac662d46426bf,
-                            -48946429529471164341432530784191877404, Float16(0.99805), 0.845204f0][i]
-        @test B[end] == Any[94, 0x14, 22684, 0x0278, -862240437, 0xc425026c, -7329373301769527751, 0x8a40806d8107ce23,
-                            37650272825719887492093881479739648820, Float16(0.14648), 0.5025569f0][i]
+        @test A[end] == Any[21, 0x7b, 17385, 0x3086, -1574090021, 0xadcb4460, 6797283068698303107, 0xc8e6453e139271f3,
+                            69855512850528774484795047199183096941, Float16(0.16895), 0.21086597f0][i]
+        @test B[end] == Any[49, 0x65, -3725, 0x719d, 814246081, 0xdf61843a, 2120308604158549401, 0xcb28c236e9c0f608,
+                            61881313582466480231846019869039259750, Float16(0.38672), 0.20027375f0][i]
     end
 
     srand(mt, 0)