Search: id:A065091
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%I A065091
%S A065091 3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89,97,
%T A065091 101,103,107,109,113,127,131,137,139,149,151,157,163,167,173,179,181,
%U A065091 191,193,197,199,211,223,227,229,233,239,241,251,257,263,269,271,277
%N A065091 Odd primes.
%C A065091 Rayes et al. prove that the a(n)-th Chebyshev-T polynomial, divided by 
               x, is irreducible over the integers.
%C A065091 Intersection of A005408 and A000040. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), 
               Oct 14 2008]
%C A065091 Smallest prime>nth prime. [From Juri-Stepan Gerasimov (2stepan(AT)rambler.ru), 
               Oct 29 2009]
%C A065091 Primes which the sum of two consecutive n. [From Juri-Stepan Gerasimov 
               (2stepan(AT)rambler.ru), Nov 07 2009]
%H A065091 Harry J. Smith, <a href="b065091.txt">Table of n, a(n) for n=1,...,1000</
               a>
%H A065091 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PrimeNumber.html">Prime Number</a>.
%H A065091 M. O. Rayes, V. Trevisan and P. S. Wang, <a href="http://icm.mcs.kent.edu/
               reports/1998/ICM-199802-0001.pdf">Factorization of Chebyshev Polynomials</
               a>
%p A065091 A065091 := proc(n) RETURN(ithprime(n+1)) end:
%t A065091 Prime[Range[2, 33]] [From Vladimir Orlovsky (4vladimir(AT)gmail.com), 
               Aug 22 2008]
%o A065091 (PARI) { for (n=1, 1000, write("b065091.txt", n, " ", prime(n + 1)) ) 
               } [From Harry J. Smith (hjsmithh(AT)sbcglobal.net), Oct 06 2009]
%Y A065091 Cf. A000027, A000040, A002808, A018252, A006005.
%Y A065091 Sequence in context: A075763 A074918 A006005 this_sequence A160656 A073579 
               A065380
%Y A065091 Adjacent sequences: A065088 A065089 A065090 this_sequence A065092 A065093 
               A065094
%K A065091 nonn,new
%O A065091 1,1
%A A065091 Labos E. (labos(AT)ana.sote.hu), Nov 12 2001
%E A065091 More terms from Francisco Salinas (franciscodesalinas(AT)hotmail.com), 
               Jan 05 2002

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