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.

127, 449, 811, 2089, 2521, 4651, 4969, 6427, 13697, 17351, 23831, 38393, 52321, 53569, 69119, 69767, 112571, 113021, 116089, 143257, 156941, 168409, 171757, 196561, 197569, 228751, 250489, 250969, 294641, 328121, 337627, 350281, 355321

Offset

1,1

Links

Table of n, a(n) for n=1..33.

Formula

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.

Example

p=a(1)= 127 because:
P=127=10^2+3^3=100+27;
q=73=10^2-3^3=100-27;
r=1009=10^3+3^2=1000+9;
s=991=10^3-3^2=1000-9

Crossrefs

Cf. A000040.

Sequence in context: A298237 A299363 A250892 * A057814 A038646 A340537

Adjacent sequences: A129534 A129535 A129536 * A129538 A129539 A129540

Keyword

easy,nonn

Author

Tomas Xordan, May 29 2007

Status

approved