Caution: Translations of Quran and Ḥadīth may lead to possible misapplications and misinterpretations. This site is intended for students of sacred knowledge that are proficient in comprehending classical Arabic and have a strong foundation in Islamic sciences. Also note that religious injunctions rely on several aspects beyond what one may glean through reading individual aḥādīth.
Qurʾān Bukhārī Muslim Nasāʾī Abū Dāwūd Tirmidhī Ibn Mājah Mālik Aḥmad Dārimī Ḥākim Ibn Ḥibbān Ṭabarānī Nasāʾī's Kubrá Bayhaqī al-Luʾluʾ wa-al-Marjān Ibn Rajab's Fifty Riyāḍ al-Ṣāliḥīn Aḥmad's Zuhd Suyūṭī
suyuti:5900a –
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السيوطي:٥٩٠٠a –

"إِنَّ الْمُسْلِمَ لَيُصَلِّى، وخطاياه مَرْفُوعَةٌ عَلى رأْسِه، فُكلَّما سَجد تحاتَّتْ عَنْهُ، فَيَفْرُغُ حِينَ يَفْرُغُ مِنْ صَلاتِه، وقَدْ تَحاتَّتْ خطاياهُ".  

[طب] الطبرانى في الكبير [هب] البيهقى في شعب الإيمان عن سلمان

See similar narrations below:

Collected by Ṭabarānī
tabarani:6125 – al-Ḥusayn b. Isḥāq al-Tustarī And Zakariyyā b. Yaḥyá al-Sājī > Bishr b. Mūsá > Ashʿat b. Ashʿat al-Saʿdānī > ʿImrān al-Qaṭṭān > Sulaymān al-Taymī > Abū ʿUthmān al-Nahdī > Salmān al-Fārisī

[Machine] The Messenger of Allah, ﷺ , said, "Verily, the Muslim prays and his sins are lifted from his head every time he prostrates. They surround him when he prostrates, and when he finishes his prayer, his sins are lifted."  

الطبراني:٦١٢٥ – حَدَّثَنَا الْحُسَيْنُ بْنُ إِسْحَاقَ التُّسْتَرِيُّ وَزَكَرِيَّا بْنُ يَحْيَى السَّاجِيُّ قَالَا ثنا بِشْرُ بْنُ مُوسَى ثنا أَشْعَتُ بْنُ أَشْعَتَ السَّعْدانِيُّ ثنا عِمْرَانُ الْقَطَّانُ ثنا سُلَيْمَانُ التَّيْمِيُّ عَنْ أَبِي عُثْمَانَ النَّهْدِيِّ عَنْ سَلْمَانَ الْفَارِسِيِّ ؓ قَالَ

قَالَ رَسُولُ اللهِ ﷺ «إِنَّ الْمُسْلِمَ يُصَلِّي وَخَطَايَاهُ مَرْفُوعَةٌ عَلَى رَأْسِهِ كُلَّمَا سَجَدَ تَحَاطَّتْ فَيَفْرُغُ حِينَ يَفْرُغُ مِنْ صَلَاتِهِ وَقَدْ تَحَاتَتْ خَطَايَاهُ»