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A129537 Prime numbers p of the form p=x^2+y^3 such that there exist three other prime numbers q,r,s such q=abs(x^2-y^3) ; r=x^3+y^2 ; s=abs(x^3-y^2); x > y. 0

%I #2 Sep 24 2013 09:24:40

%S 127,449,811,2089,2521,4651,4969,6427,13697,17351,23831,38393,52321,

%T 53569,69119,69767,112571,113021,116089,143257,156941,168409,171757,

%U 196561,197569,228751,250489,250969,294641,328121,337627,350281,355321

%N Prime numbers p of the form p=x^2+y^3 such that there exist three other prime numbers q,r,s such q=abs(x^2-y^3) ; r=x^3+y^2 ; s=abs(x^3-y^2); x > y.

%F a(n)=p=x^2+y^3; q=x^2-y3;r=x^3+y^2;s=x^3-y^2 ; x > y ; a(n),q,r,s are prime numbers.

%e p=a(1)= 127 because:

%e P=127=10^2+3^3=100+27;

%e q=73=10^2-3^3=100-27;

%e r=1009=10^3+3^2=1000+9;

%e s=991=10^3-3^2=1000-9

%Y Cf. A000040.

%K easy,nonn

%O 1,1

%A _Tomas Xordan_, May 29 2007

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