A088291 - OEIS

A088291

Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero.

167, 257, 347, 617, 5813, 7411, 8311, 8513, 9413, 9817, 10111, 10313, 11213, 11617, 12113, 12517, 12829, 13417, 13619, 14243, 14519, 14923, 15217, 15823, 15859, 16061, 16319, 17623, 18119, 18523, 19423, 19697, 20323, 20929, 21517, 22123

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OFFSET

1,1

COMMENTS

Note that some terms have 2 "solutions", e.g., 11213 => 1 + 12 = 11 + 2 = 13. - Zak Seidov, Apr 30 2013

LINKS

Zak Seidov, Table of n, a(n) for n = 1..1000

EXAMPLE

12517 is a member as it can be digit partitioned in to 12,5 and 17, 12+5 =17.

3407 is not a member as the partitions 3, 4, 07 is not permitted though 3 + 4 = 7.

PROG

(PARI) is(n)=my(d=digits(n)); for(i=1, #d-2, for(j=i+1, #d-1, if(digits(fromdigits(d[1..i])+fromdigits(d[i+1..j]))==d[j+1..#d] && d[i+1], return(isprime(n))))); 0

select(is, primes(10^4)) \\ Charles R Greathouse IV, Sep 21 2015

CROSSREFS

See A067860 for another version.~

Sequence in context: A247941 A338343 A142329 * A371631 A140003 A015992

Adjacent sequences: A088288 A088289 A088290 * A088292 A088293 A088294

KEYWORD

base,nonn

AUTHOR

Amarnath Murthy, Sep 30 2003

EXTENSIONS

More terms from David Wasserman, Aug 04 2005

Definition clarified by N. J. A. Sloane, Mar 06 2021 at the suggestion of Tanya Khovanova

STATUS

approved