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.
bukhari:3697Muḥammad b. Ḥātim b. Bazīgh > Shādhān > ʿAbd al-ʿAzīz b. Abū Salamah al-Mājishūn > ʿUbaydullāh > Nāfiʿ > Ibn ʿUmar

During the lifetime of the Prophet ﷺ we considered Abu Bakr as peerless and then ʿUmar and then ʿUthman (coming next to him in superiority) and then we used not to differentiate between the companions of the Prophet.  

البخاري:٣٦٩٧حَدَّثَنِي مُحَمَّدُ بْنُ حَاتِمِ بْنِ بَزِيغٍ حَدَّثَنَا شَاذَانُ حَدَّثَنَا عَبْدُ الْعَزِيزِ بْنُ أَبِي سَلَمَةَ الْمَاجِشُونُ عَنْ عُبَيْدِ اللَّهِ عَنْ نَافِعٍ عَنِ ابْنِ عُمَرَ ؓ قَالَ

كُنَّا فِي زَمَنِ النَّبِيِّ ﷺ لاَ نَعْدِلُ بِأَبِي بَكْرٍ أَحَدًا ثُمَّ عُمَرَ ثُمَّ عُثْمَانَ ثُمَّ نَتْرُكُ أَصْحَابَ النَّبِيِّ ﷺ لاَ نُفَاضِلُ بَيْنَهُمْ  

تَابَعَهُ عَبْدُ اللَّهِ عَنْ عَبْدِ الْعَزِيزِ

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Collected by Abū Dāwūd, Suyūṭī
abudawud:4627ʿUthmān b. Abū Shaybah > Aswad b. ʿĀmir > ʿAbd al-ʿAzīz b. Abū Salamah > ʿUbaydullāh > Nāfiʿ > Ibn ʿUmar

We used to say in the times of the Prophet ﷺ: We do not compare anyone with Abu Bakr. ’Umar came next and then ‘Uthman. We then would leave (rest of) the companions of the Prophet ﷺ without treating any as superior to other.  

أبو داود:٤٦٢٧حَدَّثَنَا عُثْمَانُ بْنُ أَبِي شَيْبَةَ حَدَّثَنَا أَسْوَدُ بْنُ عَامِرٍ حَدَّثَنَا عَبْدُ الْعَزِيزِ بْنُ أَبِي سَلَمَةَ عَنْ عُبَيْدِ اللَّهِ عَنْ نَافِعٍ عَنِ ابْنِ عُمَرَ قَالَ

كُنَّا نَقُولُ فِي زَمَنِ النَّبِيِّ ﷺ لاَ نَعْدِلُ بِأَبِي بَكْرٍ أَحَدًا ثُمَّ عُمَرَ ثُمَّ عُثْمَانَ ثُمَّ نَتْرُكُ أَصْحَابَ النَّبِيِّ ﷺ لاَ تَفَاضُلَ بَيْنَهُمْ  

suyuti:422-349bIbn ʿUmar
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السيوطي:٤٢٢-٣٤٩b

"عَنِ ابْنِ عُمَرَ قَالَ: كُنَّا فِى زَمَانِ رَسُولِ الله ﷺ لاَ نَعْدِلُ بَعْدَ النَّبِىِّ ﷺ أَحَدًا بِأَبِى بَكْرٍ، ثُمَّ عُمَرَ، ثُمَّ عُثْمَانَ، ثُمَّ نَتْرُكُ أَصْحَابَ رَسُولِ الله ﷺ لاَ نُفَاضِلُ بَيْنَهُمْ".  

[كر] ابن عساكر في تاريخه