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RSA encryption with private key and decryption with a public key

This wording is creeping everywhere (e.g. there): "I encrypt with the private key" and even sometimes, "I decrypt with the public key." Does it make any sense?

merged by Hendrik Brummermann Dec 11 '12 at 19:45

This question was merged with RSA encryption with private key and decryption with a public key because it is an exact duplicate of that question.