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%I #16 Apr 18 2019 15:28:28
%S 977,1049,1289,1877,2477,2609,3329,4877,5669,6089,6977,8429,9209,9749,
%T 10589,12377,12689,13649,15329,15877,16657,17477,18617,18913,19213,
%U 20773,21377,21757,22093,22433,22777,23833,23909,25229,25673,26053,26437,27509,30497
%N Primes p = x^2 + y^2 such that x - y is a cube greater than one.
%H Chai Wah Wu, <a href="/A282405/b282405.txt">Table of n, a(n) for n = 1..10000</a> (terms for n = 1..500 from Colin Barker)
%e The prime number 977 is in the sequence because 977 = 31^2 + 4^2 and 31 - 4 = 27 = 3^3.
%t cg1Q[{a_,b_}]:=Module[{d=b-a},PrimeQ[a^2+b^2]&&d>1&&IntegerQ[Surd[d,3]]]; Total[#^2]&/@Select[Subsets[Range[200],{2}],cg1Q]//Union (* _Harvey P. Dale_, Apr 18 2019 *)
%Y Cf. A002313, A282353, A282381, A282406.
%K nonn
%O 1,1
%A _Colin Barker_, Feb 14 2017