diff --git a/src/build_context.rs b/src/build_context.rs
index f1f264c88..edcd0384f 100644
--- a/src/build_context.rs
+++ b/src/build_context.rs
@@ -234,7 +234,7 @@ impl BuildContext {
                     let interp_names: HashSet<_> = non_abi3_interps
                         .iter()
                         .map(|interp| match interp.interpreter_kind {
-                            InterpreterKind::CPython => interp.implmentation_name.to_string(),
+                            InterpreterKind::CPython => interp.implementation_name.to_string(),
                             InterpreterKind::PyPy => "PyPy".to_string(),
                         })
                         .collect();
diff --git a/src/build_options.rs b/src/build_options.rs
index ef2a1cfc1..f81c62e56 100644
--- a/src/build_options.rs
+++ b/src/build_options.rs
@@ -292,7 +292,7 @@ impl BuildOptions {
                             executable: PathBuf::new(),
                             platform: None,
                             runnable: false,
-                            implmentation_name: interpreter_kind.to_string().to_ascii_lowercase(),
+                            implementation_name: interpreter_kind.to_string().to_ascii_lowercase(),
                             soabi: soabi.cloned(),
                         });
                     } else {
@@ -360,7 +360,7 @@ impl BuildOptions {
                             executable: PathBuf::new(),
                             platform: None,
                             runnable: false,
-                            implmentation_name: "cpython".to_string(),
+                            implementation_name: "cpython".to_string(),
                             soabi: None,
                         }])
                     } else if let Some(config_file) = env::var_os("PYO3_CONFIG_FILE") {
@@ -387,7 +387,7 @@ impl BuildOptions {
                             executable: PathBuf::new(),
                             platform: None,
                             runnable: false,
-                            implmentation_name: "cpython".to_string(),
+                            implementation_name: "cpython".to_string(),
                             soabi: None,
                         }])
                     } else {
@@ -427,7 +427,7 @@ impl BuildOptions {
                             executable: PathBuf::new(),
                             platform: None,
                             runnable: false,
-                            implmentation_name: "cpython".to_string(),
+                            implementation_name: "cpython".to_string(),
                             soabi: None,
                         }])
                     } else if target.cross_compiling() {
diff --git a/src/python_interpreter/mod.rs b/src/python_interpreter/mod.rs
index 7d335b4f5..2838b6f6a 100644
--- a/src/python_interpreter/mod.rs
+++ b/src/python_interpreter/mod.rs
@@ -364,7 +364,7 @@ pub struct PythonInterpreter {
     /// and it's `executable` is empty
     pub runnable: bool,
     /// Comes from `sys.platform.name`
-    pub implmentation_name: String,
+    pub implementation_name: String,
     /// Comes from sysconfig var `SOABI`
     pub soabi: Option<String>,
 }
@@ -433,7 +433,7 @@ fn fun_with_abiflags(
 impl PythonInterpreter {
     /// Does this interpreter have PEP 384 stable api aka. abi3 support?
     pub fn has_stable_api(&self) -> bool {
-        if self.implmentation_name.parse::<InterpreterKind>().is_err() {
+        if self.implementation_name.parse::<InterpreterKind>().is_err() {
             false
         } else {
             match self.interpreter_kind {
@@ -465,12 +465,12 @@ impl PythonInterpreter {
         } else {
             context.get_platform_tag(platform_tags)?
         };
-        let tag = if self.implmentation_name.parse::<InterpreterKind>().is_err() {
+        let tag = if self.implementation_name.parse::<InterpreterKind>().is_err() {
             // Use generic tags when `sys.implementation.name` != `platform.python_implementation()`, for example Pyston
             // See also https://github.com/pypa/packaging/blob/0031046f7fad649580bc3127d1cef9157da0dd79/packaging/tags.py#L234-L261
             format!(
                 "{interpreter}{major}{minor}-{soabi}-{platform}",
-                interpreter = self.implmentation_name,
+                interpreter = self.implementation_name,
                 major = self.major,
                 minor = self.minor,
                 soabi = self
@@ -676,20 +676,20 @@ impl PythonInterpreter {
             executable,
             platform,
             runnable: true,
-            implmentation_name: message.implementation_name,
+            implementation_name: message.implementation_name,
             soabi: message.soabi,
         }))
     }
 
     /// Construct a `PythonInterpreter` from a sysconfig and target
     pub fn from_config(config: InterpreterConfig) -> Self {
-        let implmentation_name = config.interpreter_kind.to_string().to_ascii_lowercase();
+        let implementation_name = config.interpreter_kind.to_string().to_ascii_lowercase();
         PythonInterpreter {
             config,
             executable: PathBuf::new(),
             platform: None,
             runnable: false,
-            implmentation_name,
+            implementation_name,
             soabi: None,
         }
     }
@@ -879,7 +879,7 @@ impl PythonInterpreter {
         let pointer_width = self.pointer_width.unwrap_or(64);
         format!(
             "{}-{}.{}-{}bit",
-            self.implmentation_name, self.major, self.minor, pointer_width
+            self.implementation_name, self.major, self.minor, pointer_width
         )
     }
 
@@ -928,3 +928,28 @@ impl fmt::Display for PythonInterpreter {
         }
     }
 }
+
+#[cfg(test)]
+mod tests {
+    use super::*;
+
+    #[test]
+    fn test_find_interpreter_by_target() {
+        let target =
+            Target::from_target_triple(Some("x86_64-unknown-linux-gnu".to_string())).unwrap();
+        let pythons = PythonInterpreter::find_by_target(&target, None);
+        assert_eq!(pythons.len(), 10);
+
+        let pythons = PythonInterpreter::find_by_target(
+            &target,
+            Some(&VersionSpecifiers::from_str(">=3.7").unwrap()),
+        );
+        assert_eq!(pythons.len(), 9);
+
+        let pythons = PythonInterpreter::find_by_target(
+            &target,
+            Some(&VersionSpecifiers::from_str(">=3.10").unwrap()),
+        );
+        assert_eq!(pythons.len(), 3);
+    }
+}