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
Offset: 1
Examples
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.
Links
- Zak Seidov, Table of n, a(n) for n = 1..1000
Crossrefs
See A067860 for another version.~
Programs
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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
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
Comments