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 A178371 The smallest prime p of the form j^3 + prime(n), such that the sum-of-digits of p equals prime(n). 0

%I

%S 2,3,5,7,227,229,13841,1747,729023,474581,46687,1259749,37933097,

%T 6434899,14886983,485587709,2985984059,2526569989,56888939803,

%U 60976889927,60976889929,879768685447,8296386686867,22597978779737

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

%e n=1: 0^3 + prime(1) = 0+2 = 2.

%e n=2: 0^3 + prime(2) = 0+3 = 3.

%e n=3: 0^3 + prime(3) = 0+5 = 5. Next candidate with j>0 would be 6^3 + 7 = 223.

%e n=4: 0^3 + prime(4) = 0+7 = 7.

%e n=5: 6^3 + 11 = 227 = prime(49).

%e n=6: 6^3 + 13 = 229 = prime(50).

%e n=7: 24^3 + 17 = 13841 = prime(1636).

%e n=8: 12^3 + 19 = 1747 = prime(272).

%e n=9: 90^3 + 23 = 729023 = prime(58716).

%e n=10: 78^3 + 29 = 474581 = prime(39587).

%e n=11: 36^3 + 31 = 46687 = prime(4825).

%e n=12: 108^3 + 37 = 1259749 = prime(97168).

%e n=13: 336^3 + 41 = 37933097 = prime(2315164).

%e n=14: 186^3 + 43 = 6434899 = prime(440614).

%e n=15: 246^3 + 47 = 14886983 = prime(963902).

%e n=16: 786^3 + 53 = 485587709 = prime(25635800).

%e n=17: 1440^3 + 59 = 2985984059 = prime(143807568).

%e n=18: 1362^3 + 61 = 2526569989 = prime(122671100).

%Y Cf. A000040, A000578, A176111, A176790, A178237

%K base,nonn

%O 1,1

%A Ulrich Krug (leuchtfeuer37(AT)gmx.de), May 26 2010

%E Redefined the variables in the definition - _R. J. Mathar_, Jun 07 2010

%E a(19)-a(24) from _Donovan Johnson_, Aug 09 2010

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