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• Release – Python 3.14.0b1

  Version: None

  Released: May 7, 2025

  Only one day late, welcome to the first beta! This is a beta preview of Python 3.14 Python 3.14 is still in development. This release, 3.14.0b1, is the first of four planned beta releases. Beta release previews are intended to give the wider community the opportunity to test new features …

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• Python 2.4.1 - Release Notes

  ...algorithm was switched from right-to-left to left-to-right, which is more efficient for small bases. In addition, if the exponent is large, the algorithm now does 5 bits (instead of 1 bit) at a time. That cut the time to compute 17**1000000 on my box in half again, down to about 4.5 seconds. OverflowWarning is no longer generated. PEP 237 scheduled this to occur in Python 2.3, but since OverflowWarning was disabled by default, nobody realized it was still being generated. On the chance that ...

• Notes

  ...algorithm is now used. This is most effective if the inputs have roughly the same size. If they both have about N digits, Karatsuba multiplication has O(N**1.58) runtime (the exponent is log_base_2(3)) instead of the previous O(N**2). Measured results may be better or worse than that, depending on platform quirks. Besides the O() improvement in raw instruction count, the Karatsuba algorithm appears to have much better cache behavior on extremely large integers (starting in the ballpark of a ...

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