A332574 Numbers k such that k, k + 1 and k + 2 are all norm-deficient in Gaussian integers (A332572).
127, 631, 751, 1327, 1527, 1687, 1711, 2031, 2047, 2487, 2647, 3207, 3271, 3351, 3511, 3831, 4567, 4791, 4911, 5127, 6007, 6087, 6711, 7431, 8247, 8367, 8391, 8407, 8551, 8751, 8871, 9031, 9447, 9991, 10407, 10551, 10887, 10927, 11631, 12471, 12567, 12631, 13807
Offset: 1
Keywords
Examples
127 is a term since 127, 128 and 129 are all norm-deficient in Gaussian integers (A332572).
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
normDefQ[z_] := Abs[DivisorSigma[1, z, GaussianIntegers -> True]]^2 < 2*Abs[z]^2; Select[Range[10^4], AllTrue[# + Range[0, 2], normDefQ] &]