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A176117 Primes p such that T(p) is prime in Juricevic conjecture on classification of Lehmer triples.

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%I A176117 #15 Oct 08 2024 07:27:10
%S A176117 2,5,809
%N A176117 Primes p such that T(p) is prime in Juricevic conjecture on classification of Lehmer triples.
%C A176117 Primes p such that A110035(2p) is prime. The value after 809 is > 2741. - _R. J. Mathar_, Jul 22 2010
%C A176117 a(4) > 15661, if it exists. - _D. S. McNeil_, Nov 27 2010
%H A176117 Robert Juricevic, <a href="https://www.impan.pl/en/publishing-house/journals-and-series/acta-arithmetica/all/137/3/82937/classifying-lehmer-triples">Classifying Lehmer triples</a>, Acta Arith. 137 (2009), no. 3, 207-232. MR MR2496461, doi:10.4064/aa137-3-3
%H A176117 Yu Tsumura, <a href="http://arxiv.org/abs/1004.1244">On compositeness of special types of integers</a>, April 8, 2010.
%F A176117 p such that T(p) is prime, where T(p) = (1/5)*(((1+sqrt(5))*((3+sqrt(5))/2)^(2*p)) + ((1-sqrt(5))*((3-sqrt(5))/2)^(2*p)) + 3).
%Y A176117 Cf. A000040.
%K A176117 bref,more,nonn
%O A176117 1,1
%A A176117 _Jonathan Vos Post_, Apr 08 2010