diff --git a/Cargo.lock b/Cargo.lock
index fc4e72138e7..f8fa2971b49 100644
--- a/Cargo.lock
+++ b/Cargo.lock
@@ -4106,7 +4106,7 @@ dependencies = [
  "rustc-rayon",
  "serde",
  "serde_json",
- "smallvec 1.4.0",
+ "smallvec 1.4.2",
  "tempfile",
 ]
 
diff --git a/src/librustdoc/clean/types.rs b/src/librustdoc/clean/types.rs
index 62f71514fcf..344d5603d76 100644
--- a/src/librustdoc/clean/types.rs
+++ b/src/librustdoc/clean/types.rs
@@ -1267,7 +1267,7 @@ impl PrimitiveType {
         }
     }
 
-    pub fn impls(&self, tcx: TyCtxt<'_>) -> &SmallVec<[DefId; 4]> {
+    pub fn impls(&self, tcx: TyCtxt<'_>) -> &'static SmallVec<[DefId; 4]> {
         Self::all_impls(tcx).get(self).expect("missing impl for primitive type")
     }
 
diff --git a/src/librustdoc/passes/collect_intra_doc_links.rs b/src/librustdoc/passes/collect_intra_doc_links.rs
index edfe8c05c6d..60b212c0243 100644
--- a/src/librustdoc/passes/collect_intra_doc_links.rs
+++ b/src/librustdoc/passes/collect_intra_doc_links.rs
@@ -16,6 +16,7 @@ use rustc_span::hygiene::MacroKind;
 use rustc_span::symbol::Ident;
 use rustc_span::symbol::Symbol;
 use rustc_span::DUMMY_SP;
+use smallvec::SmallVec;
 
 use std::cell::Cell;
 use std::ops::Range;
@@ -270,18 +271,21 @@ impl<'a, 'tcx> LinkCollector<'a, 'tcx> {
                 .ok_or(ErrorKind::ResolutionFailure)?;
 
             if let Some((path, prim)) = is_primitive(&path, TypeNS) {
-                let did = primitive_impl(cx, &path).ok_or(ErrorKind::ResolutionFailure)?;
-                return cx
-                    .tcx
-                    .associated_items(did)
-                    .filter_by_name_unhygienic(item_name)
-                    .next()
-                    .and_then(|item| match item.kind {
-                        ty::AssocKind::Fn => Some("method"),
-                        _ => None,
-                    })
-                    .map(|out| (prim, Some(format!("{}#{}.{}", path, out, item_name))))
-                    .ok_or(ErrorKind::ResolutionFailure);
+                for &impl_ in primitive_impl(cx, &path).ok_or(ErrorKind::ResolutionFailure)? {
+                    let link = cx
+                        .tcx
+                        .associated_items(impl_)
+                        .find_by_name_and_namespace(cx.tcx, Ident::with_dummy_span(item_name), ns, impl_)
+                        .and_then(|item| match item.kind {
+                            ty::AssocKind::Fn => Some("method"),
+                            _ => None,
+                        })
+                        .map(|out| (prim, Some(format!("{}#{}.{}", path, out, item_name))));
+                    if let Some(link) = link {
+                        return Ok(link);
+                    }
+                }
+                return Err(ErrorKind::ResolutionFailure);
             }
 
             let (_, ty_res) = cx
@@ -1238,26 +1242,6 @@ fn is_primitive(path_str: &str, ns: Namespace) -> Option<(&'static str, Res)> {
     }
 }
 
-fn primitive_impl(cx: &DocContext<'_>, path_str: &str) -> Option<DefId> {
-    let tcx = cx.tcx;
-    match path_str {
-        "u8" => tcx.lang_items().u8_impl(),
-        "u16" => tcx.lang_items().u16_impl(),
-        "u32" => tcx.lang_items().u32_impl(),
-        "u64" => tcx.lang_items().u64_impl(),
-        "u128" => tcx.lang_items().u128_impl(),
-        "usize" => tcx.lang_items().usize_impl(),
-        "i8" => tcx.lang_items().i8_impl(),
-        "i16" => tcx.lang_items().i16_impl(),
-        "i32" => tcx.lang_items().i32_impl(),
-        "i64" => tcx.lang_items().i64_impl(),
-        "i128" => tcx.lang_items().i128_impl(),
-        "isize" => tcx.lang_items().isize_impl(),
-        "f32" => tcx.lang_items().f32_impl(),
-        "f64" => tcx.lang_items().f64_impl(),
-        "str" => tcx.lang_items().str_impl(),
-        "bool" => tcx.lang_items().bool_impl(),
-        "char" => tcx.lang_items().char_impl(),
-        _ => None,
-    }
+fn primitive_impl(cx: &DocContext<'_>, path_str: &str) -> Option<&'static SmallVec<[DefId; 4]>> {
+    Some(PrimitiveType::from_symbol(Symbol::intern(path_str))?.impls(cx.tcx))
 }