Since you were born on the first or second day of the month, your first month of entitlement will be the month you were born, August. To receive retirement benefits, you must be at least age 62 for the entire month. Since you were born on August 2, you legally attain your age on August 1; therefore you're eligible for benefits for August because you're considered 62 for the entire month. However, you will receive your first benefit check in September. Social Security benefits are paid in the month following the month for which they are due.

You can file for retirement benefits online.