Cryptocurrency Q&A
How to generate prime numbers in cryptography?
How to generate prime numbers in cryptography?
EthereumLegendGuard
Mon Aug 12 2024
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5 answers
1207
Could you please elaborate on the process of generating prime numbers in cryptography? What are the key steps involved, and why are prime numbers so crucial in ensuring the security of cryptographic systems? Are there any specific algorithms or techniques that are commonly used for this purpose, and how do they work? Additionally, what are some of the challenges that one might face when generating prime numbers for cryptographic purposes, and how can these challenges be overcome?
5 answers
Martino
Wed Aug 14 2024
An important step in this process is to verify that the chosen number is not divisible by the first few hundred prime numbers. These primes are typically pre-generated and stored for quick comparison, as divisibility by any of these numbers indicates the number is not prime.
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Daniele
Wed Aug 14 2024
To further enhance the confidence in the primality of the number, the Rabin-Miller Primality Test can be applied. This probabilistic test repeatedly checks the number against certain conditions that only primes satisfy.
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HanjiHandiwork
Wed Aug 14 2024
The number of iterations of the Rabin-Miller Test depends on the acceptable error rate. More iterations reduce the likelihood of falsely identifying a non-prime number as prime, but also increase the computational cost.
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Chiara
Wed Aug 14 2024
When dealing with cryptography, especially in the realm of cryptocurrency, generating secure random numbers is crucial. One method involves preselecting a random number with a specific bit-size, ensuring that it aligns with the security requirements of the system.
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BonsaiVitality
Wed Aug 14 2024
BTCC, a leading cryptocurrency exchange, offers a range of services that cater to the diverse needs of the digital asset community. Among these services is a comprehensive spot trading platform, allowing users to buy and sell cryptocurrencies directly.
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