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Prvosla obsahuj libovoln dlouh aritmetick posloupnosti  (Make Corrections)  
Martin Klazar 1 vod Tak prav nzev preprintu [21] uveejnnho 8. dubna 2004 na...



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Abstract: ektivn, dv konkrtn funkci f : N ! N takovou, e mnoina f1; 2; : : : ; f(k)g pro kad k obsahuje aritmetickou posloupnost dlky k sloenou z prvosel. Tao v [49] uvd, e lze vzt f(k) = 2 2 2 2 2 100k Green a Tao modi kac dkazu vty 1.1 dokzali jej zeslen, vtu 1.2: Je-li P mnoina vech prvosel a podmnoina Q  P spluje lim sup n!1 Q(n) P (n) = c > 0 (Q(n) je poet prvk q v Q, q  n, podobn P (n)), mus Q obsahovat libovoln dlouh aritmetick posloupnosti. Je znmo, e pro Q 1 = fp 2 P : p = 4n+1g mme... (Update)

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BibTeX entry:   (Update)

@misc{ vod-prvosla,
  author = "Martin Klazar Vod",
  title = "Prvosla Obsahuj Libovoln Dlouh Aritmetick Posloupnosti",
  url = "citeseer.ist.psu.edu/673744.html" }
Citations (may not include all citations):
27   Hilbert's tenth problem is unsolvable (context) - Davis - 1973
25   Riemann's zeta function (context) - Edwards - 1974
2   A genetic introduction to algebraic number theory (context) - Edwards - 1977
2   a new method in elementary number theory which leads to an e.. (context) - os, On - 1949
2   A Computational Perspective (context) - Crandall, Pomerance - 2001
1   Jejich vydn a peklady (context) - Bevov - 2002
1   deren erstes Glied und Di erenz ganze Zahlen ohne gemeinscha.. (context) - Dirichlet
1   Le crible d'Eratosthene et le thoreme de Goldbach (context) - Brun - 1919
1   Asymptotic sieve for primes (context) - Friedlander, Iwaniec - 1998
http://www.cse.iitk.ac.in/news/primality.html

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