A113580 Define prime(0) = 1; then a(n) = sum prime(d), where d ranges over the decimal digits of n.

1, 2, 3, 5, 7, 11, 13, 17, 19, 23, 3, 4, 5, 7, 9, 13, 15, 19, 21, 25, 4, 5, 6, 8, 10, 14, 16, 20, 22, 26, 6, 7, 8, 10, 12, 16, 18, 22, 24, 28, 8, 9, 10, 12, 14, 18, 20, 24, 26, 30, 12, 13, 14, 16, 18, 22, 24, 28, 30, 34, 14, 15, 16, 18, 20, 24, 26, 30, 32, 36, 18, 19, 20, 22, 24, 28

Offset: 0

Author

Amarnath Murthy, Nov 06 2005

Keywords

• nonn
• base

Examples

			a(123) = prime(1) + prime(2) + prime(3) = 2 + 3 + 5 = 10.
a(10001) = 2 + 1 + 1 + 1 + 2 = 7.
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A113581; first occurrence in A113736.

Programs

Mathematica

f[n_] := Plus @@ (IntegerDigits[n] /. {0 -> 1, 1 -> 2, 2 -> 3, 3 -> 5, 4 -> 7, 5 -> 11, 6 -> 13, 7 -> 17, 8 -> 19, 9 -> 23}); Table[ f[n], {n, 0, 75}] (* Robert G. Wilson v *)

Extensions

More terms from Robert G. Wilson v, Nov 08 2005