%I
%S 41,2,421,3,13,5,2,3,23,5623,135623,42135623,4142135623,7,37,56237,3,
%T 73,373,3562373,213562373,7309,37309,5,5048801,414213562373095048801,
%U 7,887,488016887,142135623730950488016887,2,2,688724209,414213562373095048801688724209
%N Primes from the decimal expansion of sqrt(2), sorted first by the final digit index and then by length.
%e The first digit, 1, is not prime.
%e The second digit, 4, cannot terminate any prime.
%e The third digit, 1, is not prime, but 41 is, so a(1) = 41. 141 is not prime, so it is not in the sequence.
%o (PARI) v=[1, 4, 1, 4, 2, 1, 3, 5, 6, 2, 3, 7, 3, 0, 9, 5, 0, 4, 8, 8, 0, 1, 6, 8, 8, 7, 2, 4, 2, 0, 9, 6, 9]
%o for(n=1,#v,x=0;p=1;forstep(k=n,1,1,x+=p*v[k];p*=10;if(v[k]&&isprime(x),print1(x", "))))
%Y Cf. A002193.
%K nonn,base
%O 1,1
%A _Franklin T. AdamsWatters_, Oct 21 2011
