diff --git a/compiler/rustc_typeck/src/coherence/orphan.rs b/compiler/rustc_typeck/src/coherence/orphan.rs
index 77a53744829..2fc425a6fc4 100644
--- a/compiler/rustc_typeck/src/coherence/orphan.rs
+++ b/compiler/rustc_typeck/src/coherence/orphan.rs
@@ -50,6 +50,7 @@ fn orphan_check_impl(tcx: TyCtxt<'_>, def_id: LocalDefId) -> Result<(), ErrorGua
             tcx,
             sp,
             tr.path.span,
+            trait_ref.self_ty(),
             impl_.self_ty.span,
             &impl_.generics,
             err,
@@ -201,18 +202,24 @@ fn emit_orphan_check_error<'tcx>(
     tcx: TyCtxt<'tcx>,
     sp: Span,
     trait_span: Span,
+    self_ty: Ty<'tcx>,
     self_ty_span: Span,
     generics: &hir::Generics<'tcx>,
     err: traits::OrphanCheckErr<'tcx>,
 ) -> Result<!, ErrorGuaranteed> {
     Err(match err {
         traits::OrphanCheckErr::NonLocalInputType(tys) => {
+            let msg = match self_ty.kind() {
+                ty::Adt(..) => "can be implemented for types defined outside of the crate",
+                ty::Param(_) => "can have blanket implementations defined in this trait",
+                _ if self_ty.is_primitive() => "can be implemented for primitive types",
+                _ => "can be implemented for arbitrary types",
+            };
             let mut err = struct_span_err!(
                 tcx.sess,
                 sp,
                 E0117,
-                "only traits defined in the current crate can be implemented for \
-                        arbitrary types"
+                "only traits defined in the current crate {msg}"
             );
             err.span_label(sp, "impl doesn't use only types from inside the current crate");
             for (ty, is_target_ty) in &tys {
diff --git a/src/test/ui/coherence/coherence-cow.re_a.stderr b/src/test/ui/coherence/coherence-cow.re_a.stderr
index 0cf2a406da4..fe4b5b41078 100644
--- a/src/test/ui/coherence/coherence-cow.re_a.stderr
+++ b/src/test/ui/coherence/coherence-cow.re_a.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-cow.rs:18:1
    |
 LL | impl<T> Remote for Pair<T,Cover<T>> { }
diff --git a/src/test/ui/coherence/coherence-cow.re_b.stderr b/src/test/ui/coherence/coherence-cow.re_b.stderr
index b523db4da23..da4ede3251e 100644
--- a/src/test/ui/coherence/coherence-cow.re_b.stderr
+++ b/src/test/ui/coherence/coherence-cow.re_b.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-cow.rs:22:1
    |
 LL | impl<T> Remote for Pair<Cover<T>,T> { }
diff --git a/src/test/ui/coherence/coherence-cow.re_c.stderr b/src/test/ui/coherence/coherence-cow.re_c.stderr
index bd635fc2e8c..d1a20c0ca10 100644
--- a/src/test/ui/coherence/coherence-cow.re_c.stderr
+++ b/src/test/ui/coherence/coherence-cow.re_c.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-cow.rs:26:1
    |
 LL | impl<T,U> Remote for Pair<Cover<T>,U> { }
diff --git a/src/test/ui/coherence/coherence-impls-copy.stderr b/src/test/ui/coherence/coherence-impls-copy.stderr
index a7d6968a296..b3ca354c633 100644
--- a/src/test/ui/coherence/coherence-impls-copy.stderr
+++ b/src/test/ui/coherence/coherence-impls-copy.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/coherence-impls-copy.rs:5:1
    |
 LL | impl Copy for i32 {}
diff --git a/src/test/ui/coherence/coherence-orphan.stderr b/src/test/ui/coherence/coherence-orphan.stderr
index 52d2cc88cbe..01f166a21f7 100644
--- a/src/test/ui/coherence/coherence-orphan.stderr
+++ b/src/test/ui/coherence/coherence-orphan.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/coherence-orphan.rs:10:1
    |
 LL | impl TheTrait<usize> for isize { }
@@ -10,7 +10,7 @@ LL | impl TheTrait<usize> for isize { }
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-orphan.rs:17:1
    |
 LL | impl !Send for Vec<isize> { }
diff --git a/src/test/ui/coherence/coherence-overlapping-pairs.stderr b/src/test/ui/coherence/coherence-overlapping-pairs.stderr
index c1a02681c13..15c92dfeb07 100644
--- a/src/test/ui/coherence/coherence-overlapping-pairs.stderr
+++ b/src/test/ui/coherence/coherence-overlapping-pairs.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-overlapping-pairs.rs:8:1
    |
 LL | impl<T> Remote for lib::Pair<T,Foo> { }
diff --git a/src/test/ui/coherence/coherence-pair-covered-uncovered-1.stderr b/src/test/ui/coherence/coherence-pair-covered-uncovered-1.stderr
index b18bf44dbdf..03d78712381 100644
--- a/src/test/ui/coherence/coherence-pair-covered-uncovered-1.stderr
+++ b/src/test/ui/coherence/coherence-pair-covered-uncovered-1.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/coherence-pair-covered-uncovered-1.rs:12:1
    |
 LL | impl<T, U> Remote1<Pair<T, Local<U>>> for i32 { }
diff --git a/src/test/ui/coherence/coherence-pair-covered-uncovered.stderr b/src/test/ui/coherence/coherence-pair-covered-uncovered.stderr
index 34fdf64ea10..73dfe2f572a 100644
--- a/src/test/ui/coherence/coherence-pair-covered-uncovered.stderr
+++ b/src/test/ui/coherence/coherence-pair-covered-uncovered.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-pair-covered-uncovered.rs:8:1
    |
 LL | impl<T,U> Remote for Pair<T,Local<U>> { }
diff --git a/src/test/ui/coherence/coherence-vec-local-2.stderr b/src/test/ui/coherence/coherence-vec-local-2.stderr
index 567b6a6c17f..95fdf172ec2 100644
--- a/src/test/ui/coherence/coherence-vec-local-2.stderr
+++ b/src/test/ui/coherence/coherence-vec-local-2.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-vec-local-2.rs:11:1
    |
 LL | impl<T> Remote for Vec<Local<T>> { }
diff --git a/src/test/ui/coherence/coherence-vec-local.stderr b/src/test/ui/coherence/coherence-vec-local.stderr
index 38464f12a21..4835e771abd 100644
--- a/src/test/ui/coherence/coherence-vec-local.stderr
+++ b/src/test/ui/coherence/coherence-vec-local.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence-vec-local.rs:11:1
    |
 LL | impl Remote for Vec<Local> { }
diff --git a/src/test/ui/coherence/coherence_local_err_struct.stderr b/src/test/ui/coherence/coherence_local_err_struct.stderr
index 8c310b318a7..afc6fc45d0e 100644
--- a/src/test/ui/coherence/coherence_local_err_struct.stderr
+++ b/src/test/ui/coherence/coherence_local_err_struct.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/coherence_local_err_struct.rs:14:1
    |
 LL | impl lib::MyCopy for lib::MyStruct<MyType> { }
diff --git a/src/test/ui/coherence/impl-foreign-for-foreign.stderr b/src/test/ui/coherence/impl-foreign-for-foreign.stderr
index fe7c9b93f54..93f7a6fdc25 100644
--- a/src/test/ui/coherence/impl-foreign-for-foreign.stderr
+++ b/src/test/ui/coherence/impl-foreign-for-foreign.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign-for-foreign.rs:10:1
    |
 LL | impl Remote for i32 {
diff --git a/src/test/ui/coherence/impl-foreign-for-foreign[foreign].stderr b/src/test/ui/coherence/impl-foreign-for-foreign[foreign].stderr
index bdf19cf00a7..e24537bce22 100644
--- a/src/test/ui/coherence/impl-foreign-for-foreign[foreign].stderr
+++ b/src/test/ui/coherence/impl-foreign-for-foreign[foreign].stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign-for-foreign[foreign].rs:10:1
    |
 LL | impl Remote1<Rc<i32>> for i32 {
@@ -10,7 +10,7 @@ LL | impl Remote1<Rc<i32>> for i32 {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign-for-foreign[foreign].rs:14:1
    |
 LL | impl Remote1<Rc<Local>> for f64 {
@@ -22,7 +22,7 @@ LL | impl Remote1<Rc<Local>> for f64 {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign-for-foreign[foreign].rs:18:1
    |
 LL | impl<T> Remote1<Rc<T>> for f32 {
diff --git a/src/test/ui/coherence/impl-foreign-for-fundamental[foreign].stderr b/src/test/ui/coherence/impl-foreign-for-fundamental[foreign].stderr
index 20dc955ffe4..55ea4409e6f 100644
--- a/src/test/ui/coherence/impl-foreign-for-fundamental[foreign].stderr
+++ b/src/test/ui/coherence/impl-foreign-for-fundamental[foreign].stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/impl-foreign-for-fundamental[foreign].rs:10:1
    |
 LL | impl Remote for Box<i32> {
@@ -10,7 +10,7 @@ LL | impl Remote for Box<i32> {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/impl-foreign-for-fundamental[foreign].rs:14:1
    |
 LL | impl<T> Remote for Box<Rc<T>> {
diff --git a/src/test/ui/coherence/impl-foreign[foreign]-for-foreign.stderr b/src/test/ui/coherence/impl-foreign[foreign]-for-foreign.stderr
index 5552d825793..65b3aa394a8 100644
--- a/src/test/ui/coherence/impl-foreign[foreign]-for-foreign.stderr
+++ b/src/test/ui/coherence/impl-foreign[foreign]-for-foreign.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign[foreign]-for-foreign.rs:10:1
    |
 LL | impl Remote1<u32> for f64 {
diff --git a/src/test/ui/coherence/impl-foreign[fundemental[foreign]]-for-foreign.stderr b/src/test/ui/coherence/impl-foreign[fundemental[foreign]]-for-foreign.stderr
index c1e2fdaf5e3..8e77c13e111 100644
--- a/src/test/ui/coherence/impl-foreign[fundemental[foreign]]-for-foreign.stderr
+++ b/src/test/ui/coherence/impl-foreign[fundemental[foreign]]-for-foreign.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign[fundemental[foreign]]-for-foreign.rs:11:1
    |
 LL | impl Remote1<Box<String>> for i32 {
@@ -11,7 +11,7 @@ LL | impl Remote1<Box<String>> for i32 {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign[fundemental[foreign]]-for-foreign.rs:15:1
    |
 LL | impl Remote1<Box<Rc<i32>>> for f64 {
@@ -24,7 +24,7 @@ LL | impl Remote1<Box<Rc<i32>>> for f64 {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/impl-foreign[fundemental[foreign]]-for-foreign.rs:19:1
    |
 LL | impl<T> Remote1<Box<Rc<T>>> for f32 {
diff --git a/src/test/ui/coherence/impl[t]-foreign-for-foreign[t].stderr b/src/test/ui/coherence/impl[t]-foreign-for-foreign[t].stderr
index 7f8ec83b24a..92346c29198 100644
--- a/src/test/ui/coherence/impl[t]-foreign-for-foreign[t].stderr
+++ b/src/test/ui/coherence/impl[t]-foreign-for-foreign[t].stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/impl[t]-foreign-for-foreign[t].rs:11:1
    |
 LL | impl Remote for Rc<Local> {
@@ -9,7 +9,7 @@ LL | impl Remote for Rc<Local> {
    |
    = note: define and implement a trait or new type instead
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/impl[t]-foreign-for-foreign[t].rs:16:1
    |
 LL | impl<T> Remote for Arc<T> {
diff --git a/src/test/ui/error-codes/E0117.stderr b/src/test/ui/error-codes/E0117.stderr
index cdbafff2a20..76d9f5cc0e5 100644
--- a/src/test/ui/error-codes/E0117.stderr
+++ b/src/test/ui/error-codes/E0117.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/E0117.rs:1:1
    |
 LL | impl Drop for u32 {}
diff --git a/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.rs b/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.rs
index 961968186de..dd509931766 100644
--- a/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.rs
+++ b/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.rs
@@ -3,7 +3,7 @@
 pub struct Int(i32);
 
 impl const std::ops::Add for i32 { //~ ERROR type annotations needed
-    //~^ ERROR only traits defined in the current crate can be implemented for arbitrary types
+    //~^ ERROR only traits defined in the current crate can be implemented for primitive types
     type Output = Self;
 
     fn add(self, rhs: Self) -> Self {
diff --git a/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.stderr b/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.stderr
index 154a6a35a44..9fd82196e79 100644
--- a/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.stderr
+++ b/src/test/ui/rfc-2632-const-trait-impl/const-and-non-const-impl.stderr
@@ -1,4 +1,4 @@
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for primitive types
   --> $DIR/const-and-non-const-impl.rs:5:1
    |
 LL | impl const std::ops::Add for i32 {
diff --git a/src/test/ui/typeck/typeck-default-trait-impl-cross-crate-coherence.stderr b/src/test/ui/typeck/typeck-default-trait-impl-cross-crate-coherence.stderr
index cf5c15df705..fc3778b7967 100644
--- a/src/test/ui/typeck/typeck-default-trait-impl-cross-crate-coherence.stderr
+++ b/src/test/ui/typeck/typeck-default-trait-impl-cross-crate-coherence.stderr
@@ -26,7 +26,7 @@ error[E0321]: cross-crate traits with a default impl, like `DefaultedTrait`, can
 LL | impl DefaultedTrait for Box<C> { }
    | ^^^^^^^^^^^^^^^^^^^^^^^^^^^^^^ can't implement cross-crate trait for type in another crate
 
-error[E0117]: only traits defined in the current crate can be implemented for arbitrary types
+error[E0117]: only traits defined in the current crate can be implemented for types defined outside of the crate
   --> $DIR/typeck-default-trait-impl-cross-crate-coherence.rs:22:1
    |
 LL | impl DefaultedTrait for lib::Something<C> { }