%I #23 Dec 11 2022 16:17:04
%S -19,-16,216,712,2070,3670,6588,11712,19308,31582,45178,63022,80052,
%T 103632,143248,186258,236092,284848,341020,402568,470740,574164,
%U 706338,861324,997642,1101240,1188520,1301790,1547098,1861212,2259948,2472432,2814606
%N a(n) = prime(n)*prime(n+1)*prime(n+2) - prime(n+3)^2.
%C a(n) > 0 for all n >= 3.
%H G. C. Greubel, <a href="/A135734/b135734.txt">Table of n, a(n) for n = 1..1000</a>
%H S. Bulman-Fleming and E. T. H. Wang, <a href="http://www.jstor.org/stable/2686778">Problem 356</a>, College Math. J., 20 (1989), 265.
%F a(n) = A046301(n) - A001248(n+3). - _R. J. Mathar_, Mar 06 2008 [Corrected by _Georg Fischer_, Dec 11 2022]
%p A135734:=n->ithprime(n)*ithprime(n+1)*ithprime(n+2)-ithprime(n+3)^2: seq(A135734(n), n=1..50); # _Wesley Ivan Hurt_, Oct 05 2017
%t Table[Prime[n] Prime[n + 1] Prime[n + 2] - Prime[n + 3]^2, {n, 50}] (* _Vincenzo Librandi_, Apr 17 2015 *)
%o (Magma) [NthPrime(n)*NthPrime(n+1)*NthPrime(n+2)-NthPrime(n+3)^2: n in [1..40]]; // _Vincenzo Librandi_, Apr 17 2015
%Y Cf. A001248, A046301.
%K sign,easy
%O 1,1
%A _N. J. A. Sloane_, Mar 05 2008