Search: id:A105318
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%I A105318
%S A105318 3,271,169219,356498179,2500282512131,20594058719087111,
%T A105318 2185103796349763249
%N A105318 Starting prime for the smallest prime Pythagorean sequence for n triangles.
%C A105318 Smallest prime p(0) such that the n-chain governed by recurrence p(i+1)=(p(i)^2 
               + 1)/2 are all primes. Equivalently, least prime p(0) that generates 
               a sequence of n 2-prime triangles, where p(k) is the hypotenuse of 
               the k-th triangle and the leg of the (k+1)-th triangle.
%H A105318 H. Dubner, <a href="http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind9907&L=nmbrthry&P=51">
               Posting to Number Theory List</a>
%H A105318 T. Forbes, <a href="http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind9907&L=nmbrthry&P=297">
               Posting to Number Theory List</a>
%H A105318 H. Dubner & T. Forbes, <a href="http://primes.utm.edu/references/docs/
               pyth0704.pdf">Prime Pythagorean Triangles</a>
%H A105318 T. Forbes, <a href="http://listserv.nodak.edu/cgi-bin/wa.exe?A2=ind9910&L=nmbrthry&P=2450">
               Posting to Number Theory List</a>
%H A105318 H. Dubner & T. Forbes, Journal of Integer Sequences, Vol. 4(2001) #01.2.3, 
               <a href="http://www.cs.uwaterloo.ca/journals/JIS/VOL4/DUBNER/pyth.html">
               Prime Pythagorean triangles</a>
%H A105318 C. K. Caldwell, The Prime Glossary, <a href="http://primes.utm.edu/glossary/
               page.php/PrmPythagTriples.html">Pythagorean triples</a>
%Y A105318 Cf. A048270; A048295.
%Y A105318 Sequence in context: A003381 A058451 A003761 this_sequence A115477 A051365 
               A003706
%Y A105318 Adjacent sequences: A105315 A105316 A105317 this_sequence A105319 A105320 
               A105321
%K A105318 hard,more,nonn
%O A105318 2,1
%A A105318 Lekraj Beedassy (blekraj(AT)yahoo.com), Apr 26 2005

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