Search: id:A099088
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%I A099088
%S A099088 2,3,4,5,7,8,16,19,29,47,59,163,257,421,937,947,1493,1901,6689,8087,
%T A099088 9679,28753,79043,129127,145969,165799,168677,170413,172243
%N A099088 Indices of prime companion Pell numbers, divided by 2 (A001333).
%C A099088 Note that for A001333(n) to be prime, the index n must be prime or a 
               power of 2. The indices greater than 421 yield probable primes.
%C A099088 Numbers n for which ((1+Sqrt[2])^n+(1-Sqrt[2])^n)/2 is prime. - Artur 
               Jasinski (grafix(AT)csl.pl), Dec 10 2006
%H A099088 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               PellNumber.html">Pell Number</a>
%H A099088 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               IntegerSequencePrimes.html">Integer Sequence Primes </a>
%t A099088 lst={}; a=1; b=1; Do[c=a+2b; a=b; b=c; If[PrimeQ[c], AppendTo[lst, n]], 
               {n, 2, 10000}]; lst
%t A099088 Do[If[PrimeQ[Expand[((1 + Sqrt[2])^n + (1 - Sqrt[2])^n)/2]], Print[n]], 
               {n, 0, 1000}] - Artur Jasinski (grafix(AT)csl.pl), Dec 10 2006
%Y A099088 Cf. A002203 (companion Pell numbers), A086395 (primes in A001333), A096650 
               (indices of prime Pell numbers).
%Y A099088 Cf. A005850.
%Y A099088 Sequence in context: A039088 A111794 A030290 this_sequence A029447 A161751 
               A105362
%Y A099088 Adjacent sequences: A099085 A099086 A099087 this_sequence A099089 A099090 
               A099091
%K A099088 hard,nonn
%O A099088 1,1
%A A099088 T. D. Noe (noe(AT)sspectra.com), Sep 24 2004
%E A099088 a(24) = 129127 from Eric Weisstein (eric(AT)weisstein.com), May 22, 2006
%E A099088 a(25) = 145969 from Eric Weisstein (eric(AT)weisstein.com), Aug 29, 2006
%E A099088 a(26) = 165799 from Eric Weisstein (eric(AT)weisstein.com), Nov 11, 2006
%E A099088 a(27) = 168677 from Eric Weisstein (eric(AT)weisstein.com), Nov 26, 2006
%E A099088 a(28) = 170413 from Eric Weisstein (eric(AT)weisstein.com), Dec 10, 2006
%E A099088 a(29) = 172243 from Eric Weisstein (eric(AT)weisstein.com), Jan 25, 2007

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