Let pnp_npn denote the nnn-th prime. Which of the following values are prime?
p1+p2+p3p_1 + p_2 + p_3p1+p2+p3
p1⋅p2+1p_1 \cdot p_2 + 1p1⋅p2+1
p2⋅p3−1p_2 \cdot p_3 - 1p2⋅p3−1
p3⋅p4+p1p_3 \cdot p_4 + p_1p3⋅p4+p1