3. Given that the side lengths of two triangles are six pairwise distinct prime numbers. Which of the following statements is correct? ( ).
(A) These two triangles may be similar
(B) One of these two triangles may be a right triangle
(C) These two triangles can have equal perimeters
(D) None of the above statements are correct
3. C.

Obviously, the two triangles cannot be similar, let alone right-angled triangles (since in a Pythagorean triangle, one of the two legs is a multiple of 3 or 4).

For option (C), if one triangle has side lengths of 43, 59, and 71, and the other triangle has side lengths of 41, 53, and 79, all of which are prime numbers, and the perimeter is
$$
43+59+71=173=41+53+79 \text {. }
$$