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A231203 Numbers of the form (24*x + 1)*2^(y+6) with positive integers x and y. 1

%I #15 May 07 2015 14:38:49

%S 3200,6272,6400,9344,12416,12544,12800,15488,18560,18688,21632,24704,

%T 24832,25088,25600,27776,30848,30976,33920,36992,37120,37376,40064,

%U 43136,43264,46208,49280,49408,49664,50176,51200,52352,55424,55552,58496,61568,61696

%N Numbers of the form (24*x + 1)*2^(y+6) with positive integers x and y.

%C Let F(m) = 2^(2^m) + 1 be a Fermat number. If F(m) = (a*2^n + 1)*(b*2^n + 1) for some n >= m + 2 and a and b are odd, then a + b is in the sequence.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/FermatNumber.html">Fermat Number</a>

%Y Cf. A000215.

%K nonn

%O 1,1

%A _Arkadiusz Wesolowski_, Nov 05 2013

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