Your boss calls you into his office and he is extremely angry. He was embarrassed at a meeting because he put forward a recommendation that you had made and his idea was shot down by one of the technical geniuses in another department.
You had recommended that your local SSL/TLS server support RSA key exchange when your company's customers accessed their individual accounts. The genius says that, "Everyone knows that you shouldn't use RSA, because RSA is based on Euler's theorem." Euler's theorem works only if the plaintext message "m" is relatively prime to the modulus "N." But sooner or later there will be some "m" that is not relatively prime to "N" and RSA will break down.
Any cipher system that needs to avoid encrypting certain messages should be avoided like the plague!
What do you have to say for yourself?