%I #9 Jan 19 2019 04:15:43
%S 1,2,3,4,5,6,7,8,9,10,11,12,13,16,18,21,26,27,32,37,45,51,61,66,82,
%T 108,127,178,186,192,234,252,276,306,332,336,351,402,468,582,606,612,
%U 622,642,666,702,712,738,762,798,816,822,864,882,906,930,996,1018,1032
%N Positive integers n such that there is no triple of primes (p, q, r) satisfying p+q^2+r^3=n.
%e For p=2, p+p^2+p^3 = 14 = A181149(1), so 14 is the first value not to be in the sequence.
%o (PARI) nbt(n) = {nb = 0; forprime(p=2, n, forprime(q=2, n, if (p+q^2 > n, break); forprime(r=2, n, if (p+q^2+r^3 > n, break); if (p+q^2+r^3 == n, nb++);););); nb;}
%o isok(n) = nbt(n)==0;
%Y Cf. A181149, A261887.
%K nonn
%O 1,2
%A _Michel Marcus_, Sep 05 2015