OpenSSL "genpkey -pkeyopt rsa_keygen

OpenSSL "genpkey -pkeyopt rsa_keygen_pubexp:2" Runs Forever

Q

What will happen if I use 2 as the public exponent to generate an RSA private key?

✍: FYIcenter.com

A

OpenSSL will run forever, if you use 2 as the public exponent to generate an RSA private key, because OpenSSL can no find any private exponent to meet the RSA requirements. See the test below:

C:\Users\fyicenter>\local\openssl\openssl
OpenSSL> genpkey -algorithm rsa -out rsa_test.key -pkeyopt rsa_keygen_bits:256 
   -pkeyopt rsa_keygen_pubexp:2

....+++++++++++++++++++++++++++*....+++++++++++++++++++++++++++*.....+++++++++++
++++++++++++++++*...+++++++++++++++++++++++++++*..+++++++++++++++++++++++++++*..
..........+++++++++++++++++++++++++++*....+++++++++++++++++++++++++++*...+++++++

.... (running forever)

What this test tells us:

OpenSSL needs to be enhanced to include logic to validate the "rsa_keygen_pubexp" parameter to prevent this happening.

⇒ OpenSSL "genpkey -des" - DES Encrypt RSA Keys

⇐ OpenSSL "genpkey -pkeyopt rsa_keygen_pubexp:1" - Bad RSA Key

⇑ OpenSSL "genpkey" Command for RSA Keys

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