Is RSA Encryption Safe for Data Security?

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RSA encryption relies on the mathematical properties of modular arithmetic, specifically the relationship between the public and private keys. The discussion highlights a mathematical proof involving modular equations, suggesting a connection between the encryption and decryption processes. However, there is uncertainty about the overall security of RSA encryption and whether it remains safe for data security. The original poster seeks clarification on these points and expresses a need for assistance in understanding the implications. The conversation underscores the complexity of RSA and the ongoing debate regarding its security.
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I started by saying

cince c = me mod n (1)

then me ≡ c mod n

Since this is true then

mek ≡ cek-1 mod n

and cek-1 = (me)ek-1 mod n, by (1)

= mek mod n

=> k is a generator of e

and so both are proved? Not sure..

Also I haven't a clue is it's dangerous or not for RSA.

Thanks for any help.
 
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Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?

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