A Gay Man Has a Painless, Reddish Rash Covering the Palms

A gay man has a painless, reddish rash covering the palms of his hands. He reports having an open sore on his penis several months earlier, but he did not seek treatment because the sore went away. Based on these symptoms, the man most likely has

A) AIDS, because it is common in gay men.
B) scabies, because of the sore on his penis.
C) primary syphilis, because of the sore on his penis.
D) secondary syphilis, because of the sore followed by the rash.
E) HPV, because HPV is the most common STI in the United States.