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  • [X] I have confirmed this bug exists on the latest version of pandas.

  • [X] I have confirmed this bug exists on the main branch of pandas.

Reproducible Example

idx = pd.date_range('0300-01-01', '2000-01-01', unit='s')
ser = Series(np.ones(len(idx)), index=idx)
ser.resample('299Y').mean()  # works
ser.resample('300Y').mean()  # fails

# NOTE: this requires https://github.com/pandas-dev/pandas/pull/51274 to have gone in first, else they both fail

Issue Description

fails with:

Traceback (most recent call last):
  File "t.py", line 17, in <module>
    print(ser.resample('300Y').mean())
  File "/home/marcogorelli/pandas-dev/pandas/core/series.py", line 5671, in resample
    return super().resample(
  File "/home/marcogorelli/pandas-dev/pandas/core/generic.py", line 8872, in resample
    return get_resampler(
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 1518, in get_resampler
    return tg._get_resampler(obj, kind=kind)
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 1682, in _get_resampler
    return DatetimeIndexResampler(
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 171, in __init__
    self.binner, self.grouper = self._get_binner()
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 233, in _get_binner
    binner, bins, binlabels = self._get_binner_for_time()
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 1252, in _get_binner_for_time
    return self._timegrouper._get_time_bins(self.ax)
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 1732, in _get_time_bins
    first, last = _get_timestamp_range_edges(
  File "/home/marcogorelli/pandas-dev/pandas/core/resample.py", line 2035, in _get_timestamp_range_edges
    first = Timestamp(first - freq)
  File "pandas/_libs/tslibs/offsets.pyx", line 504, in pandas._libs.tslibs.offsets.BaseOffset.__sub__
    return (-other).__add__(self)
  File "pandas/_libs/tslibs/offsets.pyx", line 488, in pandas._libs.tslibs.offsets.BaseOffset.__add__
    return self._apply(other)
  File "pandas/_libs/tslibs/offsets.pyx", line 163, in pandas._libs.tslibs.offsets.apply_wraps.wrapper
    result = func(self, other)
  File "pandas/_libs/tslibs/offsets.pyx", line 2225, in pandas._libs.tslibs.offsets.YearOffset._apply
    return shift_month(other, months, self._day_opt)
  File "pandas/_libs/tslibs/offsets.pyx", line 4449, in pandas._libs.tslibs.offsets.shift_month
    return stamp.replace(year=year, month=month, day=day)
  File "pandas/_libs/tslibs/timestamps.pyx", line 2277, in pandas._libs.tslibs.timestamps.Timestamp.replace
    ts_input = datetime(**kwargs)
ValueError: year 0 is out of range

Expected Behavior

both should work

Installed Versions

INSTALLED VERSIONS ------------------ commit : 21899b63d503186b506317e00778f7d82dea5452 python : 3.8.16.final.0 python-bits : 64 OS : Linux OS-release : 5.10.102.1-microsoft-standard-WSL2 Version : #1 SMP Wed Mar 2 00:30:59 UTC 2022 machine : x86_64 processor : x86_64 byteorder : little LC_ALL : None LANG : en_GB.UTF-8 LOCALE : en_GB.UTF-8 pandas : 2.0.0.dev0+1498.g21899b63d5 numpy : 1.23.5 pytz : 2022.7.1 dateutil : 2.8.2 setuptools : 66.1.1 pip : 22.3.1 Cython : 0.29.32 pytest : 7.2.1 hypothesis : 6.64.0 sphinx : 5.3.0 blosc : 1.11.1 feather : None xlsxwriter : 3.0.7 lxml.etree : 4.9.2 html5lib : 1.1 pymysql : 1.0.2 psycopg2 : 2.9.5 jinja2 : 3.1.2 IPython : 8.8.0 pandas_datareader: None bs4 : 4.11.1 bottleneck : 1.3.6 brotli : fastparquet : 2023.1.0 fsspec : 2022.11.0 gcsfs : 2022.11.0 matplotlib : 3.6.3 numba : 0.56.4 numexpr : 2.8.4 odfpy : None openpyxl : 3.0.10 pandas_gbq : None pyarrow : 10.0.1 pyreadstat : 1.2.0 pyxlsb : 1.0.10 s3fs : 2022.11.0 scipy : 1.10.0 snappy : sqlalchemy : 1.4.45 tables : 3.8.0 tabulate : 0.9.0 xarray : 2023.1.0 xlrd : 2.0.1 zstandard : 0.19.0 tzdata : 2022.7 qtpy : None pyqt5 : None None

Comment From: MarcoGorelli

It's because the Python standard library's datetime is limited to years between 1 and 9999, and that's what we go through here:

https://github.com/pandas-dev/pandas/blob/b37321c7e02afba37bbef855a9096abe8771f569/pandas/_libs/tslibs/timestamps.pyx#L2263-L2277

Comment From: MarcoGorelli

simpler reproducer:

In [3]: Timestamp('0300-01-01').replace(year=0)
---------------------------------------------------------------------------
ValueError                                Traceback (most recent call last)
Cell In[3], line 1
----> 1 Timestamp('0300-01-01').replace(year=0)

File ~/pandas-dev/pandas/_libs/tslibs/timestamps.pyx:2277, in pandas._libs.tslibs.timestamps.Timestamp.replace()
   2275               "microsecond": dts.us, "tzinfo": tzobj,
   2276               "fold": fold}
-> 2277     ts_input = datetime(**kwargs)
   2278 
   2279 ts = convert_datetime_to_tsobject(

ValueError: year 0 is out of range

Comment From: MarcoGorelli

this was fixed in https://github.com/pandas-dev/pandas/pull/50348