Dirichlet teoremi ispatını bilen

[pontipati]

Dirichlet'in "an+b biçiminde sonsuz tane asal vardır" teoreminin kanıtını bi türlü bulamadım, kanıtı bilen var mı?

[Kojiroh]

a=1
b=1
n=1

an+b = 1*1+1 = 2 (asal)
2*1+2 = 4 (değil)

Teorem yanlış

[di]

said:

Dirichlet's Prime Number Theorem (1835)


Theorem: Consider the positive integers 4 and 21. Since these numbers have no prime factors in common (the only factor of 4 is 2, the only factors of 21 are 3 and 7), the numbers 4 and 21 are said to be relatively prime. Now consider an arithmetic sequence that is generated by starting with one of the numbers, say 21, and repeatedly adding the other number to produce the sequence. In this case we would have the sequence 21, 25, 29, 33, 37, 41, and so on. We could also start with the 4 to generate 4, 25, 46, 67, 89, and so on. Such a sequence is called a prime arithmetic progression. Dirichlet's theorem simply states that any such sequence contains an infinite number of prime numbers.

Author: Peter Dirichlet first proved this theorem in 1835. The proof is still generally considered to be difficult to understand, and has not been improved upon much from its original form.

Importance: The theorem is an integral part of many other significant proofs in number theory.

http://www.brookscole.com/math_d/special_features/popups/historical_notes/tl_1835AD.html

[nutella yerim]

kuranda yazıyo mu

[di]

Forumda din, Allah, kitap bilim teknik bolumunun konusu. Karistirdin sen.

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