cp's OEIS Frontend

A178371 The smallest prime p of the form j^3 + prime(n), such that the sum-of-digits of p equals prime(n).

%I A178371 #4 Mar 30 2012 17:40:24
%S A178371 2,3,5,7,227,229,13841,1747,729023,474581,46687,1259749,37933097,
%T A178371 6434899,14886983,485587709,2985984059,2526569989,56888939803,
%U A178371 60976889927,60976889929,879768685447,8296386686867,22597978779737
%N A178371 The smallest prime p of the form j^3 + prime(n), such that the sum-of-digits of p equals prime(n).
%e A178371 n=1: 0^3 + prime(1) = 0+2 = 2.
%e A178371 n=2: 0^3 + prime(2) = 0+3 = 3.
%e A178371 n=3: 0^3 + prime(3) = 0+5 = 5. Next candidate with j>0 would be 6^3 + 7 = 223.
%e A178371 n=4: 0^3 + prime(4) = 0+7 = 7.
%e A178371 n=5: 6^3 + 11 = 227 = prime(49).
%e A178371 n=6: 6^3 + 13 = 229 = prime(50).
%e A178371 n=7: 24^3 + 17 = 13841 = prime(1636).
%e A178371 n=8: 12^3 + 19 = 1747 = prime(272).
%e A178371 n=9: 90^3 + 23 = 729023 = prime(58716).
%e A178371 n=10: 78^3 + 29 = 474581 = prime(39587).
%e A178371 n=11: 36^3 + 31 = 46687 = prime(4825).
%e A178371 n=12: 108^3 + 37 = 1259749 = prime(97168).
%e A178371 n=13: 336^3 + 41 = 37933097 = prime(2315164).
%e A178371 n=14: 186^3 + 43 = 6434899 = prime(440614).
%e A178371 n=15: 246^3 + 47 = 14886983 = prime(963902).
%e A178371 n=16: 786^3 + 53 = 485587709 = prime(25635800).
%e A178371 n=17: 1440^3 + 59 = 2985984059 = prime(143807568).
%e A178371 n=18: 1362^3 + 61 = 2526569989 = prime(122671100).
%Y A178371 Cf. A000040, A000578, A176111, A176790, A178237
%K A178371 base,nonn
%O A178371 1,1
%A A178371 Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 26 2010
%E A178371 Redefined the variables in the definition - _R. J. Mathar_, Jun 07 2010
%E A178371 a(19)-a(24) from _Donovan Johnson_, Aug 09 2010