Secondary

Latent

Primary

Stages

Tertiary

People with primary syphilis will develop one or more sores. The sores are usually small painless ulcers. They occur on the genitals or in or around the mouth somewhere between 10-90 days (average three weeks) after exposure. Even without treatment they heal without a scar within six weeks

The secondary stage may last one to three months and begins within six weeks to six months after exposure. People with secondary syphilis experience a rosy "copper penny" rash typically on the palms of the hands and soles of the feet. However, rashes with a different appearance may occur on other parts of the body, sometimes resembling rashes caused by other diseases. They may also experience moist warts in the groin, white patches on the inside of the mouth, swollen lymph glands, fever, and weight loss.

When the infection lays dormant and displays no symptoms

If the infection isn't treated, it may then progress to a stage characterized by severe problems with the heart, brain, and nerves that can result in paralysis, blindness, dementia, deafness, impotence, and even death if it's not treated.

Source: http://www.webmd.com/sexual-conditions/guide/syphilis