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Answer by Squeamish Ossifrage for How big an RSA key is considered secure today?

An adversary with a moderately large quantum computer to run Shor's algorithm will cut through a 1024-bit RSA modulus like a hot knife through butter, and maybe through a 2048-bit RSA modulus like a...

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Answer by Nae for How big an RSA key is considered secure today?

According to Schneier's book Cryptography Engineering, n = pq ...should be around 6800 bits... in order to design a system that will be used for 30 years, and the data must be kept secure for 20 years...

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Answer by Ole Tange for How big an RSA key is considered secure today?

On my website, I have described why I personally have chosen a 10kbit RSA key: 10 kbit keys should last a life time if the future holds no surprises 10 kbit keys do not cost significant performance...

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Answer by alexandros for How big an RSA key is considered secure today?

Another way of determining the key size that offers 'adequate security' and was presented initially by Lenstra is the equivalence between symmetric and asymmetric key lengths where two systems offer...

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Answer by Maarten Bodewes for How big an RSA key is considered secure today?

The simplest answer would be to look at the keylength.com site, and if you don't trust that, to the linked papers, particularly by NIST and ECRYPT II. Note that those mainly agree with the Lenstra...

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Answer by fgrieu for How big an RSA key is considered secure today?

In the first decade of the 21st century, and counting, on a given $\text{year}$, no RSA key bigger than $(\text{year} - 2000) \cdot 32 + 512$ bits has been openly factored other than by exploitation of...

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Answer by Henrick Hellström for How big an RSA key is considered secure today?

You might want to look at NIST SP800-57, section 5.2. As of 2011, new RSA keys generated by unclassified applications used by the U.S. Federal Government, should have a moduli of at least bit size...

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How big an RSA key is considered secure today?

I think 1024 bit RSA keys were considered secure ~5 years ago, but I assume that's not true anymore. Can 2048 or 4096 keys still be relied upon, or have we gained too much computing power in the...

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