Which Mathematicians Pioneered Prime Numbers for Cryptography?

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SUMMARY

The discussion centers on the mathematicians who contributed to the foundational work on prime numbers that enabled the development of cryptography, specifically the RSA algorithm. Key figures include Leonhard Euler, who developed the concept of Euler's totient function (φ(n)), essential for finding coprime integers. The RSA algorithm, which relies on prime factorization, is detailed in Step 4 of its Wikipedia entry. The historical context of prime numbers and their application in cryptography is also highlighted, emphasizing their significance in modern encryption methods.

PREREQUISITES
  • Understanding of the RSA algorithm and its steps
  • Familiarity with Euler's totient function (φ(n))
  • Knowledge of coprime numbers and their properties
  • Basic concepts of cryptography and its history
NEXT STEPS
  • Research the contributions of Leonhard Euler to number theory
  • Study the mathematical foundations of the RSA algorithm
  • Explore the historical development of cryptographic methods
  • Examine US Patent 4405829 for insights into cryptographic innovations
USEFUL FOR

Students, cryptographers, mathematicians, and anyone interested in the historical and mathematical foundations of cryptography and prime number theory.

phospho
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Hello,

This may seem like a random question but I'm doing a essay on cryptography and I'm wondering if anyone could tell me who was the mathematician(s) that done the original work in prime numbers that lead to the development of cryptography and the RSA and whatnot.

Sorry if this is vague, but I have found no information on the mathematicians.

Thank you!

Edit: Step 4 of the RSA algorithm here: http://en.wikipedia.org/wiki/RSA_(algorithm)

who done the work to make it possible to find a number e such that 1 < e < phi(n) where e and phi(n) are coprime.
 
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phospho said:
Hello,

This may seem like a random question but I'm doing a essay on cryptography and I'm wondering if anyone could tell me who was the mathematician(s) that done the original work in prime numbers that lead to the development of cryptography and the RSA and whatnot.
prime numbers were known far back in time but only those mentioned in the article seemed to have thought up the RSA algorithm
same said:
Sorry if this is vague, but I have found no information on the mathematicians.
TRY searching for info on US patent 4405829
same said:
Edit: Step 4 of the RSA algorithm here: http://en.wikipedia.org/wiki/RSA_(algorithm)

who done the work to make it possible to find a number e such that 1 < e < phi(n) where e and phi(n) are coprime.
How to find a number n between 1 and X>2 such that n is coprime to X was known before the Roman calendar so I don't understand your question.
 
phospho said:
Hello,

This may seem like a random question but I'm doing a essay on cryptography and I'm wondering if anyone could tell me who was the mathematician(s) that done the original work in prime numbers that lead to the development of cryptography and the RSA and whatnot.

Sorry if this is vague, but I have found no information on the mathematicians.

Thank you!

Edit: Step 4 of the RSA algorithm here: http://en.wikipedia.org/wiki/RSA_(algorithm)

who done the work to make it possible to find a number e such that 1 < e < phi(n) where e and phi(n) are coprime.
Wikipedia has a good history of ciphers: http://en.wikipedia.org/wiki/History_of_cryptography
 

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