Hard white bump(s) on penis shaft.. many of them

So I have these hard white zit like dots/bumps on my penis shaft.. they don't hurt nor itch or pain ,not even when touched.. they are just white and some are skin colored. But they are almost round and small. My homeopathy doc says its "syphilis" but I have had no lesions or the punched out pattern lesion of syphilis, no discharge.. (only if I press it on purpose too hard a white hard seed like thing comes out)
And my girlfriend has had no symptoms of ayphilis.although none of us have gotten our blood tests done. So I am extremely worried.. please advise.

Hard white bump(s) on penis shaft.. many of them