Sahih Bukhari Volume 001, Book 002, Hadith Number 036.
Sahih Bukhari Book 02. Belief
Narated By Abu Huraira : Allah's Apostle said: "Whoever
establishes prayers during the nights of Ramadan faithfully out
of sincere faith and hoping to attain Allah's rewards (not for
showing off), all his past sins will be forgiven."

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