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A162350 The path of the primes: Pairs (x,y) such that the points P(x,y) represent the position of the nonnegative integers in the graph of the "mountain path" function for prime numbers.

%I A162350 #3 Mar 11 2014 01:34:15
%S A162350 0,0,1,0,2,0,2,1,2,2,3,2,4,2,4,3,4,4,4,5,5,5,5,4,6,4,6,5,6,6,6,7,7,7,
%T A162350 7,6,8,6,8,7,8,8,8,9,9,9,9,8,9,7,9,6,10,6,10,7,10,8,10,9,10,10,11,10,
%U A162350 11,9,11,8,12,8,12,9,12,10
%N A162350 The path of the primes: Pairs (x,y) such that the points P(x,y) represent the position of the nonnegative integers in the graph of the "mountain path" function for prime numbers.
%H A162350 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpfpn.jpg">Graph of the mountain path function for prime numbers</a>
%H A162350 Omar E. Pol, <a href="http://www.polprimos.com/imagenespub/polmpca1.jpg">Illustration: The path of the primes</a>
%e A162350 n ..... Point
%e A162350 0 ..... P(0,0)
%e A162350 1 ..... P(1,0)
%e A162350 2 ..... P(2,0)
%e A162350 3 ..... P(2,1)
%e A162350 4 ..... P(2,2)
%e A162350 5 ..... P(3,2)
%e A162350 6 ..... P(4,2)
%e A162350 7 ..... P(4,3)
%e A162350 8 ..... P(4,4)
%e A162350 9 ..... P(4,5)
%e A162350 10 .... P(5,5)
%e A162350 11 .... P(5,4)
%Y A162350 Cf. A000040, A006005, A008578, A162200, A162201, A162202, A162203, A162340, A162341, A162342, A162343, A162344, A162351, A162352.
%K A162350 easy,nonn
%O A162350 0,5
%A A162350 _Omar E. Pol_, Jul 03 2009