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 A130467 Primes p of the form p=a^2+b^3, such that q =A130468(n)= a^3+b^2 is prime and greater than p; p < q ; b < a. 1
 17, 43, 89, 113, 127, 223, 233, 269, 337, 443, 449, 487, 811, 919, 1129, 1213, 1361, 1471, 2089, 2089, 2521, 2647, 2731, 2953, 2969, 3041, 3259, 3391, 3433, 4093, 4441, 4651, 4721, 4721, 4969, 5237, 5309, 5527, 5689, 6121, 6329, 6361, 6427, 7057, 7121 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 LINKS FORMULA p=a^2+b^3;q=a^3+b^2 EXAMPLE a(1)=17 because 17=3^2+2^3=9+8 and A130468(1)= 31=3^3+2^2=27+4; 17<31 ; 2 < 3; a(5)=127 because 127=10 ^2 + 3 ^3= 100+27 and A130468(5)= 1009 = 10 ^3 + 3 ^2 = 1000+9; 127< 1009; 3 < 10 MATHEMATICA pgpQ[{b_, a_}]:=Module[{p1=a^2+b^3, p2=b^2+a^3}, AllTrue[{p1, p2}, PrimeQ] && p1

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Last modified September 30 18:12 EDT 2020. Contains 337440 sequences. (Running on oeis4.)