diff --git a/Doc/library/stdtypes.rst b/Doc/library/stdtypes.rst
index 36e0bed90d44750516bdba0f954393f6d6ce8af5..99dc1b2be3d4f95cef9a5fbaa0460f4cce34bf59 100644
--- a/Doc/library/stdtypes.rst
+++ b/Doc/library/stdtypes.rst
@@ -4774,7 +4774,7 @@ When an operation would exceed the limit, a :exc:`ValueError` is raised:
    >>> _ = int('2' * 5432)
    Traceback (most recent call last):
    ...
-   ValueError: Exceeds the limit (4300) for integer string conversion: value has 5432 digits.
+   ValueError: Exceeds the limit (4300) for integer string conversion: value has 5432 digits; use sys.set_int_max_str_digits() to increase the limit.
    >>> i = int('2' * 4300)
    >>> len(str(i))
    4300
@@ -4782,7 +4782,7 @@ When an operation would exceed the limit, a :exc:`ValueError` is raised:
    >>> len(str(i_squared))
    Traceback (most recent call last):
    ...
-   ValueError: Exceeds the limit (4300) for integer string conversion: value has 8599 digits.
+   ValueError: Exceeds the limit (4300) for integer string conversion: value has 8599 digits; use sys.set_int_max_str_digits() to increase the limit.
    >>> len(hex(i_squared))
    7144
    >>> assert int(hex(i_squared), base=16) == i*i  # Hexadecimal is unlimited.
diff --git a/Misc/NEWS.d/next/Core and Builtins/2022-09-16-19-02-40.gh-issue-95778.cJmnst.rst b/Misc/NEWS.d/next/Core and Builtins/2022-09-16-19-02-40.gh-issue-95778.cJmnst.rst
new file mode 100644
index 0000000000000000000000000000000000000000..ebf63778a605d7df8e8a41f518e0091938e12fba
--- /dev/null
+++ b/Misc/NEWS.d/next/Core and Builtins/2022-09-16-19-02-40.gh-issue-95778.cJmnst.rst	
@@ -0,0 +1,3 @@
+When :exc:`ValueError` is raised if an integer is larger than the limit,
+mention the :func:`sys.set_int_max_str_digits` function in the error message.
+Patch by Victor Stinner.
diff --git a/Objects/longobject.c b/Objects/longobject.c
index a481a16eb01ca1b945177b294dd4f53fa7ede427..13db94b3d4adf73c382cc9f39be87b83ca07383f 100644
--- a/Objects/longobject.c
+++ b/Objects/longobject.c
@@ -47,8 +47,8 @@ static PyLongObject small_ints[NSMALLNEGINTS + NSMALLPOSINTS];
 Py_ssize_t quick_int_allocs, quick_neg_int_allocs;
 #endif
 
-#define _MAX_STR_DIGITS_ERROR_FMT_TO_INT "Exceeds the limit (%d) for integer string conversion: value has %zd digits"
-#define _MAX_STR_DIGITS_ERROR_FMT_TO_STR "Exceeds the limit (%d) for integer string conversion"
+#define _MAX_STR_DIGITS_ERROR_FMT_TO_INT "Exceeds the limit (%d) for integer string conversion: value has %zd digits; use sys.set_int_max_str_digits() to increase the limit"
+#define _MAX_STR_DIGITS_ERROR_FMT_TO_STR "Exceeds the limit (%d) for integer string conversion; use sys.set_int_max_str_digits() to increase the limit"
 
 static PyObject *
 get_small_int(sdigit ival)