Search: id:A093365
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%I A093365
%S A093365 2,5,8,26,34,65,146,170,194,218,242,1445,2225,2309,2393,2477,2561,2645,
%T A093365 2729,2813,2897,71633,479581,664445,685697,1141625,1184129,4153621,
%U A093365 4217377,4281133,4344889,4408645,33344305
%N A093365 Least number which is the end of an arithmetic progression of n numbers 
               that are the sums of two nonzero squares.
%C A093365 The next term is > 225000000.
%H A093365 Ben Green and Terence Tao, <a href="http://arXiv.org/abs/math/0404188">
               The primes contain arbitrarily long arithmetic progressions</a>
%e A093365 Example: a(6)=65: 5=2^2+1^2, 17=4^2+1^2, 29=5^2+2^2, 41=5^2+4^2, 53=7^2+2^2, 
               65=7^2+4^2.
%Y A093365 Arithmetic progressions in A000404. For gaps see A093366.
%Y A093365 Cf. A005115, arithmetic progressions of primes.
%Y A093365 Sequence in context: A100501 A142869 A086825 this_sequence A128600 A066846 
               A140275
%Y A093365 Adjacent sequences: A093362 A093363 A093364 this_sequence A093366 A093367 
               A093368
%K A093365 nonn
%O A093365 1,1
%A A093365 Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 27 2004
%E A093365 More terms from Hugo Pfoertner (hugo(AT)pfoertner.org), Apr 29 2004

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