diff --git a/Doc/library/stdtypes.rst b/Doc/library/stdtypes.rst
index ae197f765d1e16..e7c757405371c3 100644
--- a/Doc/library/stdtypes.rst
+++ b/Doc/library/stdtypes.rst
@@ -2398,6 +2398,14 @@ expression support in the :mod:`re` module).
    Return a copy of the string with all occurrences of substring *old* replaced by
    *new*.  If *count* is given, only the first *count* occurrences are replaced.
    If *count* is not specified or ``-1``, then all occurrences are replaced.
+   For example:
+
+   .. doctest::
+
+      >>> 'spam, spam, spam'.replace('spam', 'eggs')
+      'eggs, eggs, eggs'
+      >>> 'spam, spam, spam'.replace('spam', 'eggs', 1)
+      'eggs, spam, spam'
 
    .. versionchanged:: 3.13
       *count* is now supported as a keyword argument.
diff --git a/Lib/test/test_capi/test_float.py b/Lib/test/test_capi/test_float.py
index df7017e6436a69..8b25607b6d504f 100644
--- a/Lib/test/test_capi/test_float.py
+++ b/Lib/test/test_capi/test_float.py
@@ -1,6 +1,5 @@
 import math
 import random
-import platform
 import sys
 import unittest
 import warnings
@@ -215,8 +214,8 @@ def test_pack_unpack_roundtrip_for_nans(self):
                     # PyFloat_Pack/Unpack*() API.  See also gh-130317 and
                     # e.g. https://developercommunity.visualstudio.com/t/155064
                     signaling = 0
-                    if platform.machine().startswith('parisc'):
-                        # HP PA RISC uses 0 for quiet, see:
+                    if _testcapi.nan_msb_is_signaling:
+                        # HP PA RISC and some MIPS CPUs use 0 for quiet, see:
                         # https://en.wikipedia.org/wiki/NaN#Encoding
                         signaling = 1
                 i = make_nan(size, sign, not signaling)
diff --git a/Lib/test/test_profiling/test_sampling_profiler/test_live_collector_interaction.py b/Lib/test/test_profiling/test_sampling_profiler/test_live_collector_interaction.py
index 8342faffb94762..baf478133fc665 100644
--- a/Lib/test/test_profiling/test_sampling_profiler/test_live_collector_interaction.py
+++ b/Lib/test/test_profiling/test_sampling_profiler/test_live_collector_interaction.py
@@ -705,10 +705,6 @@ def test_filter_prompt_displayed(self):
         self.assertTrue(self.display.contains_text("myfilter"))
 
 
-if __name__ == "__main__":
-    unittest.main()
-
-
 class TestLiveCollectorThreadNavigation(unittest.TestCase):
     """Tests for thread navigation functionality."""
 
diff --git a/Lib/test/test_struct.py b/Lib/test/test_struct.py
index cceecdd526c006..bbfe19a4e0bab7 100644
--- a/Lib/test/test_struct.py
+++ b/Lib/test/test_struct.py
@@ -5,7 +5,6 @@
 import math
 import operator
 import unittest
-import platform
 import struct
 import sys
 import weakref
@@ -891,6 +890,7 @@ def test_module_func(self):
         self.assertRaises(StopIteration, next, it)
 
     def test_half_float(self):
+        _testcapi = import_helper.import_module('_testcapi')
         # Little-endian examples from:
         # http://en.wikipedia.org/wiki/Half_precision_floating-point_format
         format_bits_float__cleanRoundtrip_list = [
@@ -935,8 +935,8 @@ def test_half_float(self):
 
         # Check that packing produces a bit pattern representing a quiet NaN:
         # all exponent bits and the msb of the fraction should all be 1.
-        if platform.machine().startswith('parisc'):
-            # HP PA RISC uses 0 for quiet, see:
+        if _testcapi.nan_msb_is_signaling:
+            # HP PA RISC and some MIPS CPUs use 0 for quiet, see:
             # https://en.wikipedia.org/wiki/NaN#Encoding
             expected = 0x7c
         else:
diff --git a/Modules/_testcapi/float.c b/Modules/_testcapi/float.c
index e3869134c84d43..63de77ca6b8651 100644
--- a/Modules/_testcapi/float.c
+++ b/Modules/_testcapi/float.c
@@ -171,5 +171,9 @@ _PyTestCapi_Init_Float(PyObject *mod)
         return -1;
     }
 
-    return 0;
+#if (defined(__mips__) && !defined(__mips_nan2008)) || defined(__hppa__)
+    return PyModule_Add(mod, "nan_msb_is_signaling", PyBool_FromLong(1));
+#else
+    return PyModule_Add(mod, "nan_msb_is_signaling", PyBool_FromLong(0));
+#endif
 }
diff --git a/Tools/check-c-api-docs/ignored_c_api.txt b/Tools/check-c-api-docs/ignored_c_api.txt
index e81ffd51e193b2..e0b94edf748853 100644
--- a/Tools/check-c-api-docs/ignored_c_api.txt
+++ b/Tools/check-c-api-docs/ignored_c_api.txt
@@ -45,6 +45,27 @@ Py_LL
 Py_SAFE_DOWNCAST
 Py_ULL
 Py_VA_COPY
+PYLONG_BITS_IN_DIGIT
+PY_DWORD_MAX
+PY_FORMAT_SIZE_T
+PY_INT32_T
+PY_INT64_T
+PY_LITTLE_ENDIAN
+PY_LLONG_MAX
+PY_LLONG_MIN
+PY_LONG_LONG
+PY_SIZE_MAX
+PY_UINT32_T
+PY_UINT64_T
+PY_ULLONG_MAX
+# patchlevel.h
+PYTHON_ABI_STRING
+PYTHON_API_STRING
+PY_RELEASE_LEVEL_ALPHA
+PY_RELEASE_LEVEL_BETA
+PY_RELEASE_LEVEL_FINAL
+PY_RELEASE_LEVEL_GAMMA
+PY_VERSION
 # unicodeobject.h
 Py_UNICODE_SIZE
 # cpython/methodobject.h
@@ -91,3 +112,39 @@ Py_FrozenMain
 # cpython/unicodeobject.h
 PyUnicode_IS_COMPACT
 PyUnicode_IS_COMPACT_ASCII
+# pythonrun.h
+PyErr_Display
+# cpython/objimpl.h
+PyObject_GET_WEAKREFS_LISTPTR
+# cpython/pythonrun.h
+PyOS_Readline
+# cpython/warnings.h
+PyErr_Warn
+# fileobject.h
+PY_STDIOTEXTMODE
+# structmember.h
+PY_WRITE_RESTRICTED
+# pythread.h
+PY_TIMEOUT_T
+PY_TIMEOUT_MAX
+# cpython/pyctype.h
+PY_CTF_ALNUM
+PY_CTF_ALPHA
+PY_CTF_DIGIT
+PY_CTF_LOWER
+PY_CTF_SPACE
+PY_CTF_UPPER
+PY_CTF_XDIGIT
+# cpython/code.h
+PY_DEF_EVENT
+PY_FOREACH_CODE_EVENT
+# cpython/funcobject.h
+PY_DEF_EVENT
+PY_FOREACH_FUNC_EVENT
+# cpython/monitoring.h
+PY_MONITORING_EVENT_BRANCH
+# cpython/dictobject.h
+PY_DEF_EVENT
+PY_FOREACH_DICT_EVENT
+# cpython/pystats.h
+PYSTATS_MAX_UOP_ID
diff --git a/Tools/check-c-api-docs/main.py b/Tools/check-c-api-docs/main.py
index 6bdf80a9ae8985..3debb9ed09da78 100644
--- a/Tools/check-c-api-docs/main.py
+++ b/Tools/check-c-api-docs/main.py
@@ -8,6 +8,7 @@
 SIMPLE_MACRO_REGEX = re.compile(r"# *define *(\w+)(\(.+\))? ")
 SIMPLE_INLINE_REGEX = re.compile(r"static inline .+( |\n)(\w+)")
 SIMPLE_DATA_REGEX = re.compile(r"PyAPI_DATA\(.+\) (\w+)")
+API_NAME_REGEX = re.compile(r'\bP[yY][a-zA-Z0-9_]+')
 
 CPYTHON = Path(__file__).parent.parent.parent
 INCLUDE = CPYTHON / "Include"
@@ -72,24 +73,10 @@ def found_ignored_documented(singular: bool) -> str:
     )
 
 
-def is_documented(name: str) -> bool:
-    """
-    Is a name present in the C API documentation?
-    """
-    for path in C_API_DOCS.iterdir():
-        if path.is_dir():
-            continue
-        if path.suffix != ".rst":
-            continue
-
-        text = path.read_text(encoding="utf-8")
-        if name in text:
-            return True
-
-    return False
-
-
-def scan_file_for_docs(filename: str, text: str) -> tuple[list[str], list[str]]:
+def scan_file_for_docs(
+    filename: str,
+    text: str,
+    names: set[str]) -> tuple[list[str], list[str]]:
     """
     Scan a header file for  C API functions.
     """
@@ -98,7 +85,7 @@ def scan_file_for_docs(filename: str, text: str) -> tuple[list[str], list[str]]:
     colors = _colorize.get_colors()
 
     def check_for_name(name: str) -> None:
-        documented = is_documented(name)
+        documented = name in names
         if documented and (name in IGNORED):
             documented_ignored.append(name)
         elif not documented and (name not in IGNORED):
@@ -106,14 +93,14 @@ def check_for_name(name: str) -> None:
 
     for function in SIMPLE_FUNCTION_REGEX.finditer(text):
         name = function.group(2)
-        if not name.startswith("Py"):
+        if not API_NAME_REGEX.fullmatch(name):
             continue
 
         check_for_name(name)
 
     for macro in SIMPLE_MACRO_REGEX.finditer(text):
         name = macro.group(1)
-        if not name.startswith("Py"):
+        if not API_NAME_REGEX.fullmatch(name):
             continue
 
         if "(" in name:
@@ -123,14 +110,14 @@ def check_for_name(name: str) -> None:
 
     for inline in SIMPLE_INLINE_REGEX.finditer(text):
         name = inline.group(2)
-        if not name.startswith("Py"):
+        if not API_NAME_REGEX.fullmatch(name):
             continue
 
         check_for_name(name)
 
     for data in SIMPLE_DATA_REGEX.finditer(text):
         name = data.group(1)
-        if not name.startswith("Py"):
+        if not API_NAME_REGEX.fullmatch(name):
             continue
 
         check_for_name(name)
@@ -152,6 +139,14 @@ def check_for_name(name: str) -> None:
 
 
 def main() -> None:
+    print("Gathering C API names from docs...")
+    names = set()
+    for path in C_API_DOCS.glob('**/*.rst'):
+        text = path.read_text(encoding="utf-8")
+        for name in API_NAME_REGEX.findall(text):
+            names.add(name)
+    print(f"Got {len(names)} names!")
+
     print("Scanning for undocumented C API functions...")
     files = [*INCLUDE.iterdir(), *(INCLUDE / "cpython").iterdir()]
     all_missing: list[str] = []
@@ -162,7 +157,7 @@ def main() -> None:
             continue
         assert file.exists()
         text = file.read_text(encoding="utf-8")
-        missing, ignored = scan_file_for_docs(str(file.relative_to(INCLUDE)), text)
+        missing, ignored = scan_file_for_docs(str(file.relative_to(INCLUDE)), text, names)
         all_found_ignored += ignored
         all_missing += missing