A088293 Smallest prime in which the digit string can be partitioned into n+1 parts (only nonzero parts allowed) such that the sum of the first n parts = the (n+1)th one.

11, 167, 1427, 12227, 111227, 11117213, 11111117, 1111111411, 11111111917, 111111118319, 1111111111717, 11111111132923, 111111111114823, 1111111111113823, 11111111111111923, 111111111111112319, 1111111111111116223, 11111111111111121119, 111111111111111111523

Offset

1,1

Links

Table of n, a(n) for n=1..19.

Example

a(1) = 11, 1 = 1.
a(2) = 167, 1+6 = 7
a(3) = 1427, 1+4+2 = 7.
a(4) = 12227, 1+2+2+2 = 7.
a(5) = 111227, 1+1+1+2+2 = 7.
a(6) = 11117213, 1+1+1+1+7+2 = 13.
a(7) = 11111117, 1+1+1+1+1+1+1 = 7.
a(8) = 1111111411, 1+1+1+1+1+1+1+4 = 11.

Crossrefs

Cf. A088291, A088292.

Sequence in context: A261504 A142513 A075141 * A145559 A159968 A059091

Adjacent sequences: A088290 A088291 A088292 * A088294 A088295 A088296

Keyword

base,nonn

Author

Amarnath Murthy, Sep 30 2003

Extensions

a(6)-a(8) from Randy L. Ekl, Jan 08 2017

Offset corrected by Omar E. Pol, Jan 09 2017

a(9)-a(19) from Giovanni Resta, Apr 24 2017

Status

approved