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A332573 Numbers k such that k and k + 1 are both norm-deficient in Gaussian integers (A332572). 2

%I #7 Feb 17 2020 09:36:01

%S 7,16,127,128,151,248,256,343,472,536,568,631,632,751,752,823,856,943,

%T 1048,1111,1136,1207,1303,1327,1328,1336,1432,1527,1528,1591,1687,

%U 1688,1711,1712,1783,1816,1912,2031,2032,2047,2048,2103,2167,2263,2416,2487,2488

%N Numbers k such that k and k + 1 are both norm-deficient in Gaussian integers (A332572).

%H Amiram Eldar, <a href="/A332573/b332573.txt">Table of n, a(n) for n = 1..10000</a>

%e 7 is a term since both 7 and 7 + 1 = 8 are norm-deficient in Gaussian integers (A332572).

%t normDefQ[z_] := Abs[DivisorSigma[1, z, GaussianIntegers -> True]]^2 < 2*Abs[z]^2; Select[Range[2500], normDefQ[#] && normDefQ[# + 1] &]

%Y Cf. A005100, A103228, A103229, A103230, A317047, A332572.

%K nonn

%O 1,1

%A _Amiram Eldar_, Feb 16 2020

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Last modified May 3 04:11 EDT 2024. Contains 372205 sequences. (Running on oeis4.)