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Prime numbers are helpful in cryptography because it is MUCH easier to calculate the product (multiplication) of two prime numbers than to do the reverse process (find the prime factors of a big number).
The bigger the prime numbers are, the higher the difference in time between calculating the product, or factoryzing this product back into the two prime numbers.
When person A wants to tell B a secret, they could agree on two great prime numbers (in a secret way) and later use the product to communicate. A and B could easely calculate the other's factor because they know their own factor. Anyone else would have to try to factorize the huge Prime number without any knowledge which would take, ideally, longer than 4.6 billion years (the age of the Earth).
This is a VERY simplified answer and more can be found by googling around.
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Why composite number are not used in rsa algorithm?
If you choose any two numbers, the RSA encryption and decryption is still correct. However, not all numbers of a given length are equally hard to factor. The hardest instances of these problems (for currently known techniques) are semiprimes, the product of two prime numbers. For example, factoring 35 (= 5 * 7) is difficult than 36 (= 4 * 9 or 6 * 6).
Why are prime numbers important today?
Prime numbers are only really used for 3 things. 1) Cryptography. Look up the algorithm "RSA" in cryptography. It is widely used and relies heavily on prime numbers. 2) Attempted alien communications. Prime numbers are one of the simplest demonstrations of intelligence, and can be understood regardless of language or culture. Thus, many signals sent out to aliens include prime numbers to demonstrate we are intelligent. 3) Mathematical conversations, jokes, and beauty. Many mathematicians find prime numbers to be beautiful, and enjoy discussing them. Any particular person is unlikely to knowingly manipulate prime numbers in their life.
What is meant by RSA encryption?
RSA encrpytion refers to a type of security thats main advantage is the alleged difficulty of factoring large integers. It is based on taking two prime numbers together and creating a huge number out of them.
Can RSA be created by using n equals pqr where p q and r are prime numbers?
yes because when you take pqr and divide it by two you will get an answer of 15874
What does 14k RSA mean?
14k RSA refers to a key size of 14,000 bits in the RSA encryption algorithm. RSA, which stands for Rivest-Shamir-Adleman, is a widely used method for secure data transmission. A key size of 14k is significantly larger than the commonly used sizes (like 2048 or 4096 bits), offering enhanced security but also requiring more computational resources for encryption and decryption processes. However, it's important to note that such large key sizes can lead to diminishing returns in security versus performance.
