[Cryptography] Factoring safe semiprimes

Ron Garret ron at flownet.com
Fri Oct 17 10:56:25 EDT 2025



> On Oct 16, 2025, at 8:39 PM, Peter Gutmann via cryptography <cryptography at metzdowd.com> wrote:
> 
> Stephan Neuhaus <neut at zhaw.ch> writes:
> 
>> As I read their result, it meant that in the presence of noise (i.e.,
>> always), Shor's Algorithm will "almost certainly fail" for large semiprimes,
>> but all that means is that one needs ever greater numbers of qubits for error
>> correction.
> 
> As an aside, I think we need to create a new term alongside "squarefree
> semiprimes" to denote semiprimes that aren't close to being squares for
> sleight-of-hand purposes.
> 
> Also, how well known is the term semiprime?  I suspect if you waved it at
> someone who understands crypto in general without being a hardcore
> mathematician you may get a blank look.

A data point: I understand crypto in general but I am not a hard core mathematician, and I had to look up "semiprime."

But I'm still scratching my head trying to figure out what a "Fouvry prime" is.

rg



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