%I
%S 13,17,43,47,67,83,97,103,107,113,127,137,157,163,167,173,193,197,433,
%T 443,457,463,467,487,607,613,617,643,647,653,673,677,683,823,827,853,
%U 857,863,877,883,887,907,937,947,953,967,977,983,997,1013,1019,1031
%N Republican primes. Primes such that the right half of the prime is prime and the left half is not.
%C If the length of n is odd then the central number is not used in the calculation. So neither the left half nor the right half will contain the central digit. If the length of n is even, then all numbers are used.
%F Half n is the floor of the length of n divided by 2.
%e The right half of 13 is 3 which is prime. The left half is 1 which is not prime.
%e The right half of 113 is 3 which is prime. The left half is 1 which is not prime.
%o (PARI) \Political primes, republican case. rep(n) = { local(x,ln,y,lp,rp); forprime(x=2,n, y=Str(x); if(x > 9, ln=floor(length(y)/2), ln=1); lp = eval(left(y,ln)); rp = eval(right(y,ln)); if(!isprime(lp)&& isprime(rp),print1(x",") ) ) }
%Y Cf. A125523, A125525.
%K base,easy,nonn,changed
%O 2,1
%A _Cino Hilliard_, Jan 22 2007
