%I #13 Apr 19 2018 03:06:47
%S 2,3,13,19,73,103,113,131,223,293,313,461,761,863,1013,1069,1171,1223,
%T 2293,2711,2887,2903,4583,5623,6949,7151,7873,8563,8803,12413,13613,
%U 16703,17393,22013,24733,28723
%N Primes p not of the form k^2+s where k > 1 and 1 <= s < (k+1)^2, such that q = k^4+s is prime.
%C No more terms <= 10^8. Is this sequence finite?
%o (PARI) upto(n) = {my(res = List([2, 3]), b); forprime(p = 5, n, b = 0; for(k = ceil(sqrt(p / 2 + 1/4)  0.5), sqrtint(p1), if(isprime(k^4 + p  k^2), b = 1; next(1))); if(!b, listput(res, p))); res}
%Y Primes not in A124598.
%K nonn,more
%O 1,1
%A _David A. Corneth_, Apr 08 2018
