Structure and Randomness in the prime numbers Terence Tao, ucla



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Structure and Randomness in the prime numbers


A prime number is any natural number greater than 1, which cannot be factored as the product of two smaller numbers.

  • A prime number is any natural number greater than 1, which cannot be factored as the product of two smaller numbers.



Fundamental theorem of arithmetic (~300 BCE): every natural number greater than 1 can be expressed uniquely as the product of primes (up to rearrangement).

  • Fundamental theorem of arithmetic (~300 BCE): every natural number greater than 1 can be expressed uniquely as the product of primes (up to rearrangement).






















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