Yes, this has been mentioned in the Hadith Shareef. It is narrated in Sahih Muslim from Hazrat Abu Hurairah RadiyAllah Anhu that Sayyiduna Rasoolullah صلى الله عليه وسلم said,

‘The five Salaahs, from Jummah to Jummah and from Ramadan to Ramadan, wipes out all the sins that are between them, as long as one abstains from Kaba’ir (major sins).’ [Mishkaat pg.57]

Page 11 - Virtues of Salaah

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