What are “4029 exempt” persons, and why are they exempt?
Form 4029 is used by members of recognized religious groups to apply for exemption from social security and Medicare taxes. ... You are not eligible for this exemption if you received social security benefits or payments, or if anyone else received these benefits or payments based on your wages or self-employment income.
Form 4361, Application for Exemption From Self-Employment Tax for Use by Ministers, Members of Religious Orders and Christian Science Practitioners.