It is narrated from Hazrat Abu Hurairah (may Allah be pleased with him) that the Holy Prophet (peace and blessings be upon him) said: The five prayers and one Friday (prayer) to the next Friday (prayer) are expiation for the sins committed in between, provided that major sins are avoided.
Hadith Referenceمسند احمد / مسند المكثرين من الصحابة / 9356
Hadith Gradingحکم دارالسلام:حدیث صحیح ، م : 233 ، الحسن لم یسمع من أبي ھریرۃ ، و علي بن زید مجھول