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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). 2

%I #18 Mar 07 2021 01:20:29

%S 101,167,257,347,617,5813,7411,8311,8513,9413,9817,10111,10313,11213,

%T 11617,12113,12517,12829,13417,13619,14243,14519,14923,15217,15823,

%U 15859,16061,16319,17623,18119,18523,19423,19697,20323,20929,21517,22123,23537,23629,23831,24547

%N 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).

%H David A. Corneth, <a href="/A067860/b067860.txt">Table of n, a(n) for n = 1..10000</a>

%H David A. Corneth, <a href="/A067860/a067860.gp.txt">PARI program</a>

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

%o (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

%o select(is,primes(10^4)) \\ _Charles R Greathouse IV_, Sep 21 2015

%o (PARI) See PARI link \\ _David A. Corneth_, Mar 06 2021

%Y See A088291 for another version.

%K base,nonn

%O 1,1

%A _Joseph L. Pe_, Feb 15 2002

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

%E Data corrected and more terms from _David A. Corneth_, Mar 06 2021

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Last modified July 22 17:20 EDT 2024. Contains 374540 sequences. (Running on oeis4.)