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A272406
Primes p == 1 (mod 3) for which A261029(34*p) = 2.
6
7, 13, 19, 31, 37, 43, 61, 67, 73, 79, 97, 103, 109, 127, 139, 151, 157, 163, 181, 193, 199, 211, 223, 229, 241, 271, 277, 283, 307, 313, 331, 337, 367, 373, 397, 409, 421, 439, 457, 487, 571, 709, 787, 877
OFFSET
1,1
COMMENTS
By theorem in A272384, case q=17, the sequence is finite with a(n)<1156.
LINKS
MATHEMATICA
r[n_] := Reduce[0 <= x <= y <= z && z >= x+1 && n == x^3 + y^3 + z^3 - 3 x y z, {x, y, z}, Integers];
a29[n_] := Which[rn = r[n]; rn === False, 0, rn[[0]] === And, 1, rn[[0]] === Or, Length[rn], True, Print["error ", rn]];
Select[Select[Range[7, 997, 3], PrimeQ], a29[34 #] == 2&] (* Jean-François Alcover, Dec 01 2018 *)
CROSSREFS
KEYWORD
nonn,fini,full
AUTHOR
Vladimir Shevelev, Apr 29 2016
EXTENSIONS
All terms (after first author's ones) were calculated by Peter J. C. Moses, Apr 29 2016
STATUS
approved