diff --git a/src/julia/Float.jl b/src/julia/Float.jl
index b881421567..2508f1a339 100644
--- a/src/julia/Float.jl
+++ b/src/julia/Float.jl
@@ -10,9 +10,9 @@
 #
 ###############################################################################
 
-JuliaRealField = Floats{BigFloat}()
+const JuliaRealField = Floats{BigFloat}()
 
-RDF = Floats{Float64}()
+const RDF = Floats{Float64}()
 
 parent(a::T) where T <: AbstractFloat = Floats{T}()
 
diff --git a/src/julia/Integer.jl b/src/julia/Integer.jl
index 84ab037e6a..5ae91c9650 100644
--- a/src/julia/Integer.jl
+++ b/src/julia/Integer.jl
@@ -250,8 +250,8 @@ end
 #
 ###############################################################################
 
-sqrt_moduli = [3, 5, 7, 8]
-sqrt_residues = [[0, 1], [0, 1, 4], [0, 1, 2, 4], [0, 1, 4]]
+const sqrt_moduli = [3, 5, 7, 8]
+const sqrt_residues = [[0, 1], [0, 1, 4], [0, 1, 2, 4], [0, 1, 4]]
 
 @doc raw"""
     sqrt(a::T; check::Bool=true) where T <: Integer
@@ -366,14 +366,14 @@ function root(a::T, n::Int; check::Bool=true) where T <: Integer
    end
 end
 
-moduli3 = [7, 8, 13]
-residues3 = [[0, 1, 6], [0, 1, 3, 5, 7], [0, 1, 5, 8, 12]]
+const moduli3 = [7, 8, 13]
+const residues3 = [[0, 1, 6], [0, 1, 3, 5, 7], [0, 1, 5, 8, 12]]
 
-moduli5 = [8, 11, 31]
-residues5 = [[0, 1, 3, 5, 7], [0, 1, 10], [0, 1, 5, 6, 25, 26, 30]]
+const moduli5 = [8, 11, 31]
+const residues5 = [[0, 1, 3, 5, 7], [0, 1, 10], [0, 1, 5, 6, 25, 26, 30]]
 
-moduli7 = [8, 29, 43]
-residues7 = [[0, 1, 3, 5, 7], [0, 1, 12, 17, 28], [0, 1, 6, 7, 36, 37, 42]]
+const moduli7 = [8, 29, 43]
+const residues7 = [[0, 1, 3, 5, 7], [0, 1, 12, 17, 28], [0, 1, 6, 7, 36, 37, 42]]
 
 function ispower_moduli(a::Integer, n::Int)
    if mod(n, 3) == 0