Cryptocurrency Q&A
What is the trick to find prime numbers?
What is the trick to find prime numbers?
BitcoinBaroness
Mon Aug 12 2024
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5 answers
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I'm curious, what's the secret sauce behind identifying prime numbers? Is there a foolproof method or a clever trick that mathematicians and enthusiasts alike use to uncover these elusive numbers? I've heard of the Sieve of Eratosthenes, but are there other lesser-known strategies or techniques that can help in the hunt for primes? Share your insights and perhaps demystify this fascinating aspect of number theory for us.
5 answers
isabella_bailey_economist
Wed Aug 14 2024
Identifying whether a large number is prime involves a methodical approach. One quick test involves summing the digits of the number. If the resulting sum is divisible by 3, the original number is not prime. This test serves as an initial screening tool to eliminate numbers that clearly do not meet the criteria of a prime number.
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Giuseppe
Wed Aug 14 2024
However, the sum-of-digits test is not exhaustive. To accurately determine the primality of a number, especially for larger values, we must consider more sophisticated methods. Notably, with the exception of 2 and 3, all prime numbers greater than 3 adhere to a specific pattern.
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Caterina
Wed Aug 14 2024
Specifically, these prime numbers can be represented using the formula 6n + 1 or 6n - 1, where n is a natural number. This pattern is significant because it allows us to systematically search for potential prime numbers within a given range, narrowing down the candidates and simplifying the verification process.
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Lorenzo
Wed Aug 14 2024
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Gianluca
Wed Aug 14 2024
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