Chapter

The Power of Prime Numbers in Cryptography
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1:22:01 - 1:30:13 (08:12)

The use of prime numbers in cryptography is explained through Fermat's Little theorem, which states that raising any number a in the range 0 through n-1 to the n-1th power, modulo n gives back the number a, if a is prime.

Clips
The concept of fingerprinting allows for the detection of plagiarism and aids in string matching by associating each word with a unique number derived from a random prime number and its letters acting as its digits.
1:22:01 - 1:24:09 (02:07)
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Fingerprinting
Summary

The concept of fingerprinting allows for the detection of plagiarism and aids in string matching by associating each word with a unique number derived from a random prime number and its letters acting as its digits. This differs from traditional string matching algorithms and allows for faster and more efficient searching.

Chapter
The Power of Prime Numbers in Cryptography
Episode
#111 – Richard Karp: Algorithms and Computational Complexity
Podcast
Lex Fridman Podcast
The ability to draw random numbers from a range or associate a random number with an object is crucial in designing algorithms such as the Fermat's Little Theorem for identifying prime numbers or counting the number of solutions that satisfy a particular formula in propositional logic using a random sampling idea.
1:24:09 - 1:30:13 (06:04)
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Algorithms
Summary

The ability to draw random numbers from a range or associate a random number with an object is crucial in designing algorithms such as the Fermat's Little Theorem for identifying prime numbers or counting the number of solutions that satisfy a particular formula in propositional logic using a random sampling idea.

Chapter
The Power of Prime Numbers in Cryptography
Episode
#111 – Richard Karp: Algorithms and Computational Complexity
Podcast
Lex Fridman Podcast