Inspect continuation prompt signature and pass only viable arguments.

Closes  #14273

IPython/terminal/interactiveshell.py

@@ -3,6 +3,7 b''
 import asyncio
 import os
 import sys
+import inspect
 from warnings import warn
 from typing import Union as UnionType, Optional
 
@@ -66,8 +67,8 b' from .shortcuts.auto_suggest import ('
 PTK3 = ptk_version.startswith('3.')
 
 
-class _NoStyle(Style): pass
-
+class _NoStyle(Style):
+    pass
 
 
 _style_overrides_light_bg = {
@@ -84,6 +85,20 b' _style_overrides_linux = {'
             Token.OutPromptNum: '#ansired bold',
 }
 
+
+def _backward_compat_continuation_prompt_tokens(method, width: int, *, lineno: int):
+    """
+    Sagemath use custom prompt and we broke them in 8.19.
+    """
+    sig = inspect.signature(method)
+    if "lineno" in inspect.signature(method).parameters or any(
+        [p.kind == p.VAR_KEYWORD for p in sig.parameters.values()]
+    ):
+        return method(width, lineno=lineno)
+    else:
+        return method(width)
+
+
 def get_default_editor():
     try:
         return os.environ['EDITOR']
@@ -764,7 +779,9 b' class TerminalInteractiveShell(InteractiveShell):'
             "message": get_message,
             "prompt_continuation": (
                 lambda width, lineno, is_soft_wrap: PygmentsTokens(
-                    self.prompts.continuation_prompt_tokens(width, lineno=lineno)
+                    _backward_compat_continuation_prompt_tokens(
+                        self.prompts.continuation_prompt_tokens, width, lineno=lineno
+                    )
                 )
             ),
             "multiline": True,

docs/source/config/details.rst

@@ -34,7 +34,7 b' which defines the defaults. The required interface is like this:'
    :class:`~.TerminalInteractiveShell` instance.
 
    .. method:: in_prompt_tokens(cli=None)
-               continuation_prompt_tokens(self, cli=None, width=None)
+               continuation_prompt_tokens(self, width=None)
                rewrite_prompt_tokens()
                out_prompt_tokens()