L#3 | NUMBER THEORY | Prime Counting Function | Distribution of Primes | B.Sc. Mathematics, DU

Описание к видео L#3 | NUMBER THEORY | Prime Counting Function | Distribution of Primes | B.Sc. Mathematics, DU

Distribution of primes | Euclid's Theorem, that there are infinitely many primes, is one of the oldest and most attractive in mathematics. In this book we will give several proofs of this result, very different in style, to illustrate some important techniques in number theory. (It is useful, rather than wasteful, to have several proofs of the same result, since one may be able to adapt these proofs to give different generalisations.) Our first proof (the earliest and simplest) is in Book IX of Euclid's Elements.

There are infinitely many primes.

For any positive real number x ....

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