A067860 Primes which are 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

Author

Joseph L. Pe, Feb 15 2002

Keywords

• base
• nonn

Examples

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

Links

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

Crossrefs

See A088291 for another version.

Programs

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

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