A130474 Prime numbers p of the form p=x^2+y^3 such that q =A130475(n)= abs(x^2-y^3) is prime and smaller than p.
5, 31, 43, 89, 127, 241, 269, 283, 379, 449, 449, 487, 521, 593, 811, 919, 953, 1009, 1051, 1601, 2017, 2089, 2089, 2143, 2341, 2521, 2521, 2609, 2731, 2953, 3041, 3163, 3391, 3631, 3943, 4051, 4129, 4159, 4481, 4481, 4651, 4931, 4969, 5113, 5209, 5309
Offset: 1
Examples
a(4)= 89 because 89= 9^2+2^3= 81 + 8 and A130475(4)= 73 =abs(9^2-2^3)= abs(81-8) ; A130475(4) < a(4) ; A130475(4) and a(4) are prime numbers, members of A000040. a(5)= 127 because 127= 10^2+ 3^3= 100 + 27 and A130475(5)= 73 = abs(10^2-3^3)= abs(100-27) ; A130475(5) < a(5) ; A130475(5) and a(5) are prime numbers, members of A000040. a(9)= 379 because 379= 6^2 + 7^3= 36 + 343 and A130475(9)= 307 = abs(6^2-7^3)= abs(36-343) ; A130475(9) < a(9) ; A130475(9) and a(9) are prime numbers, members of A000040.