A067860 n is prime and the concatenation of numbers n_1, n_2, n_3, in that order, with n_1 + n_2 = n_3 (leading zeros are forbidden for nonzero n_i).

101, 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, 23537, 23629, 23831, 24547

Offset

1,1

Links

David A. Corneth, Table of n, a(n) for n = 1..10000

David A. Corneth, PARI program

Example

167 is the concatenation of 1, 6, 7 and 1+6 = 7.

Prog

(PARI) is(n)=if(n==101, return(1)); 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] || i==j+1), return(isprime(n))))); 0
select(is, primes(10^4)) \\ Charles R Greathouse IV, Sep 21 2015
(PARI) See PARI link \\ David A. Corneth, Mar 06 2021

Crossrefs

See A088291 for another version.

Sequence in context: A142660 A123037 A142012 * A140037 A107209 A076613

Adjacent sequences: A067857 A067858 A067859 * A067861 A067862 A067863

Keyword

base,nonn

Author

Joseph L. Pe, Feb 15 2002

Extensions

More terms from Larry Reeves (larryr(AT)acm.org), Jun 11 2002

Data corrected and more terms from David A. Corneth, Mar 06 2021

Status

approved