alfiyah of suyuti (#657-658):
the most in number of hadith reports
is abu hurayrah followed by ibn umar
anas and the ocean (ibn abbas) similar to al-khudri
and jabir and also, the wife of the Prophet sallAllahu alayhi wa sallam (sayyidah ayishah)
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citing from ibn al-jawzi: (as mentioned by shaykh ahmad shakir in his sharh alfiyah):
1. abu hurayrah:
5374 (no. of hadith reported)
2. abdullah ibn umar:
2630
3. anas ibn malik:
2286
4. umm al-mu'minin sayyidah ayishah: 2210
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5. abdullah ibn abbas:
1660
6. jabir ibn abdullah:
1540
7. abu sayid al-khudri:
1170
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8. abdullah ibn mas'ud:
848
9. abdullah ibn amr ibn al-aaS:
700
10. amir al-mu'minin mawla ali:
536
11. amir al-mu'minin umar ibn al-khaTTab:
537
raDiyAllahu `anhum ajma'yin.
(notice that the order is as mentioned by ibn al-jawzi, though hazrat umar reports one hadith more than mawla ali).
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see ibn al-jawzi in his talqih fuhum ahl al-athar, where he lists: (p.263)
aS'Hab al-uluf (those who reported hadith in thousands)
aS'Hab al-alf (those who reported one thousand plus)
aS'Hab al-mi'yin (those who reported in hundreds)
aS'Hab al-mi'ah (those who reported one hundred plus)
and then he lists those who are 20+ (less than hundred); then 19,18...until those saHabah who reported one single hadith.
Allah ta'ala knows best.