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A066649 Primes of the form a^2 + b^3 with a, b > 0. 12

%I #11 Jan 11 2015 06:56:12

%S 2,5,17,31,37,43,73,89,101,113,127,197,223,233,241,257,269,283,337,

%T 347,353,359,379,401,443,449,487,521,577,593,599,677,701,733,743,811,

%U 827,829,919,953,1009,1019,1049,1051,1097,1129,1153,1213,1289,1297,1361

%N Primes of the form a^2 + b^3 with a, b > 0.

%H T. D. Noe, <a href="/A066649/b066649.txt">Table of n, a(n) for n = 1..10000</a>

%e A000040(26) = 101 = 10^2 + 1^3, therefore 101 is a term.

%e A000040(51) = a(13) = 233 = 225 + 8 = 15^2 + 2^3.

%t lst={};Do[Do[p=n^2+m^3;If[PrimeQ[p],AppendTo[lst,p]],{n,5!}],{m,5!}];Take[Union[lst],123] (* _Vladimir Joseph Stephan Orlovsky_, May 24 2009 *)

%Y Cf. A055394, A066650.

%Y Cf. A000040, A078393, A078390.

%K nonn

%O 1,1

%A _Reinhard Zumkeller_, Dec 17 2001

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)