Hadithcore
Mishkat al-Masabih, 564

Abu Huraira reported God’s Messenger as saying, “The five [daily] prayers, Friday to Friday and Ramadan to Ramadan make atonement for what has happened since the previous one when major sins have been avoided.” Muslim transmitted it.

وَعَنْ أَبِي هُرَيْرَةَ رَضِيَ اللَّهُ عَنْهُ قَالَ: قَالَ رَسُولُ اللَّهِ صَلَّى اللَّهُ عَلَيْهِ وَسَلَّمَ: «الصَّلَوَاتُ الْخَمْسُ وَالْجُمُعَةُ إِلَى الْجُمُعَةِ وَرَمَضَانُ إِلَى رَمَضَانَ مُكَفِّرَاتٌ لَمَّا بَيْنَهُنَّ إِذَا اجْتُنِبَتِ الْكَبَائِر» . رَوَاهُ مُسلم

References1 variant
In-Book Reference
Book 4, Hadith 1