Chrome and Safari on OS X and IOS can’t open SSL-secured sites with keysizes greater 4096 bit. As mentioned by Samuel Tardieu it’s a apple fail. I can’t think of a good reason why more bits are a security problem.
This works great except for Apple-User.
Certificate:
Data:
Version: 3 (0x2)
Serial Number: 144413 (0x2341d)
Signature Algorithm: sha512WithRSAEncryption
Issuer: O=CAcert Inc., OU=http://www.CAcert.org, CN=CAcert Class 3 Root
Validity
Not Before: Apr 28 07:05:30 2014 GMT
Not After : Apr 27 07:05:30 2016 GMT
Subject: CN= migmedia.net
Subject Public Key Info:
Public Key Algorithm: rsaEncryption
Public-Key: (8192 bit)
Modulus:
``
