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What would happen if P vs NP was solved?
If P=NP, then all of the NP problems can be solved deterministically in Polynomial time.
In what circumstances we can say P NP?
The statement P=NP means that if a problem takes polynomial time on a non-deterministic TM, then one can build a deterministic TM which would solve the same problem also in polynomial time. So far nobody has been able to show that it can be done, but nobody has been able to prove that it cannot be done, either.
Can RSA be broken in polynomial time?
It’s possible that we will find we can crack RSA in a way that doesn’t let us factor integers in polynomial time. In short, we know that RSA is at least as easy as factoring. There are two possible outcomes: RSA and factoring are of equivalent difficulty, or RSA is a strictly easier problem than factoring.
What is the difficulty of the RSA algorithm?
RSA Algorithm in Cryptography. Difficulty Level : Medium. Last Updated : 05 Jan, 2021. RSA algorithm is asymmetric cryptography algorithm. Asymmetric actually means that it works on two different keys i.e. Public Key and Private Key. As the name describes that the Public Key is given to everyone and Private key is kept private.
How to calculate the private key for RSA?
1 < e < Φ (n) [Φ (n) is discussed below], Let us now consider it to be equal to 3. Now calculate Private Key, d : d = (k*Φ (n) + 1) / e for some integer k For k = 2, value of d is 2011. Now we are ready with our – Public Key ( n = 3127 and e = 3) and Private Key (d = 2011)
Is the P problem the same as the NP problem?
P is contained in NP: Any problem that can be solved quickly by a computer can also have a particular possible answer quickly checked by a computer. The reverse — whether NP is contained in P — is unknown: We don’t know whether problems that have a good algorithm for checking answers also have good algorithms for finding answers.
Where does the idea of RSA come from?
The idea of RSA is based on the fact that it is difficult to factorize a large integer. The public key consists of two numbers where one number is multiplication of two large prime numbers. And private key is also derived from the same two prime numbers.