

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.


6



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



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, #d2, for(j=i+1, #d1, if(digits(fromdigits(d[1..i])+fromdigits(d[i+1..j]))==d[j+1..#d] && d[i+1], return(isprime(n))))); 0


CROSSREFS



KEYWORD

base,nonn


AUTHOR



EXTENSIONS



STATUS

approved



