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Re:Mathematicians discover a perfect way to multiply (2019) by croutonix on Wednesday July 22, 2020 @08:30PM (#23923005)
> “The best we can hope for is we’re three times faster,” van der Hoeven said.

And they talk about billions of digits elsewhere in the article. I doubt that only applies for the ~8.46e184 digits you seem to be talking about.

Re:Mathematicians discover a perfect way to multiply (2019) by jacobolus on Thursday July 23, 2020 @12:04AM (#23924080)
From last time this came up, the number of bits in the numbers involved is 2^(9^12). Storing a count of the number of bits takes about 930 billion digits. Actually storing the bits or digits of the numbers per se takes a whole lot more, to say the least.

https://hal.archives-ouvertes.fr/hal-02070778/document