%I A127436
%S A127436 2,5,17,37,101,257,1297,1601,4357,15877,16901,22501,24337,32401,44101,
%T A127436 57601,62501,65537,72901,78401,93637,156817,160001,176401,184901,217157,
%U A127436 240101,309137,324901,331777,417317,476101,490001,562501,577601,682277
%N A127436 Primes associated with A127435.
%C A127436 A sequence with P=a(k) distinct numbers contains a subsequence of p=A127435(k) 
               monotonically increasing or decreasing terms, according to a corollary 
               of the Erdos-Szekeres theorem.
%F A127436 a(n) = (A127435(n)-1)^2 + 1.
%t A127436 Select[(Prime@Range[300] - 1)^2 + 1, PrimeQ] (*Chandler*)
%Y A127436 Cf. A127435. Subsequence of A045349.
%Y A127436 Sequence in context: A078523 A078324 A002496 this_sequence A064168 A118727 
               A042361
%Y A127436 Adjacent sequences: A127433 A127434 A127435 this_sequence A127437 A127438 
               A127439
%K A127436 nonn
%O A127436 1,1
%A A127436 Lekraj Beedassy (blekraj(AT)yahoo.com), Jan 14 2007
%E A127436 Corrected and extended by Ray Chandler (rayjchandler(AT)sbcglobal.net), 
               Jan 23 2007