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The O(n log n) algorithm is galactic (only becomes more efficient when multiplying massive numbers)

So for numbers we normally work with, no. Maybe with cryptographic operations though.

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Even crypto isn't that large: 2^4096 is kind of the norm here.

Some mathematical researchers are working in the million, billion, or even trillion-bit range.

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Matrix multiplication is constantly getting improved but these methods aren’t improvements on practical implementation.
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