A274335 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.

2, 3, 5, 7, 11, 13, 19, 23, 29, 31, 43, 61, 67, 73, 83, 101, 103, 109, 113, 127, 139, 151, 157, 163, 181, 193, 211, 223, 233, 307, 313, 331, 353, 367, 373, 389, 419, 433, 439, 443, 523, 577, 613, 619, 631, 643, 659, 691, 709, 727, 733, 757, 773, 811, 853, 907

Offset

1,1

Links

Table of n, a(n) for n=1..56.

José Camacho Medina, Números Primos especiales (in Spanish).

Example

2 is a term because  2 = 2;
23 is a term because (2+3)+(2^3) = 5+8 = 13;
109 is a term because (1+0+9)+(1^0+0^9) = 10+1 = 11.

Crossrefs

Cf. A000040, A046704.

Sequence in context: A176162 A152900 A079151 * A049643 A005728 A050437

Adjacent sequences: A274332 A274333 A274334 * A274336 A274337 A274338

Keyword

nonn,base

Author

José de Jesús Camacho Medina, Jun 22 2016

Status

approved