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 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 (list; graph; refs; listen; history; text; internal format)
 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 * A140003 A015992 A065216 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

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Last modified February 27 15:42 EST 2024. Contains 370377 sequences. (Running on oeis4.)