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Prime numbers with digits abc...z such that (a+b+c+...+z) + (a^b+b^c+c^d+...+y^z) is also a prime number.
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%I #26 Jun 23 2016 13:23:50

%S 2,3,5,7,11,13,19,23,29,31,43,61,67,73,83,101,103,109,113,127,139,151,

%T 157,163,181,193,211,223,233,307,313,331,353,367,373,389,419,433,439,

%U 443,523,577,613,619,631,643,659,691,709,727,733,757,773,811,853,907

%N Prime numbers with digits abc...z such that (a+b+c+...+z) + (a^b+b^c+c^d+...+y^z) is also a prime number.

%H José Camacho Medina, <a href="http://matematicofresnillense.blogspot.mx/2016/06/numeros-primos-especiales_22.html">Números Primos especiales (in Spanish)</a>.

%e 2 is a term because 2 = 2;

%e 23 is a term because (2+3)+(2^3) = 5+8 = 13;

%e 109 is a term because (1+0+9)+(1^0+0^9) = 10+1 = 11.

%Y Cf. A000040, A046704.

%K nonn,base

%O 1,1

%A _José de Jesús Camacho Medina_, Jun 22 2016