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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
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
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.)