A024453 a(n) = [ (3rd elementary symmetric function of P(n))/(first elementary symmetric function of P(n)) ], where P(n) = {first n+2 primes}.

3, 14, 48, 124, 279, 543, 981, 1710, 2758, 4329, 6519, 9365, 13088, 18023, 24448, 32237, 42031, 53897, 67765, 84548, 104253, 127677, 155845, 188299, 224778, 266201, 312202, 363845, 426136, 495751, 574268, 660165, 758682, 865898, 984968, 1116797