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Is it possible to derive private key directly from public key alone using a powerful Quantum computer.

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    See https://crypto.stackexchange.com/questions/88158/is-rsa-oaep-secure-against-shors-factoring-algorithm – Eugene Styer Sep 28 '22 at 13:50
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    Using Shor's algorithm to solve the factorization problem implies the derivation of the private key from RSA public key – Don Freecs Sep 28 '22 at 13:57

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