A103547 a(n) is the smallest n-digit zeroless prime such that the sum of the two numbers that result from splitting a(n) between any two of its digits is a distinct prime, or 0 if there is no such n-digit prime.

11, 281, 2267, 26881, 464447, 6462667, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

2,1

Comments

The last digit is always odd and every other digit is even (except for a(1) = 11). - Sean A. Irvine, Apr 11 2010

Links

Table of n, a(n) for n=2..18.

Example

a(4) = 2267. 2 + 267 = 269, which is prime. 22 + 67 = 89, which is prime. 226 + 7 = 233, which is prime.
a(2) is NOT 227 because 2 + 27 = 29 and 22 + 7 = 29 are the same prime. [From Sean A. Irvine, Apr 11 2010]

Crossrefs

Sequence in context: A049080 A210807 A129754 * A171195 A274780 A323311

Adjacent sequences: A103544 A103545 A103546 * A103548 A103549 A103550

Keyword

base,more,nonn

Author

Ray G. Opao, Mar 23 2005

Extensions

More terms from Sean A. Irvine, Apr 11 2010

a(13)-a(18) from Hiroaki Yamanouchi, Aug 31 2014

Status

approved