Muhammad Baqir Yazdi

Muhammad Baqir Yazdi
محمد باقر یزدی
Born16th century
Persia (modern-day Iran)
Died16th century
Known forDiscovery of the amicable number pair 9,363,584 and 9,437,056
Notable workOyoun Alhesab
Scientific career
FieldsMathematics

Muhammad Baqir Yazdi Persian: محمدباقر یزدی was an Iranian mathematician who lived in the 16th century. He gave the pair of amicable numbers 9,363,584 and 9,437,056 many years before Euler's contribution to amicable numbers.[1] His major book is Oyoun Alhesab (Arabic:عيون الحساب).

Works

  • Oyoun al-Hisab: Yazdi's principal mathematical text is Oyoun al-Hisab (Arabic: عيون الحساب), known as The Sources of Arithmetic. It represents a late Islamic scholarly attempt to systematize arithmetic, geometry, and algebra inherited from earlier traditions.[2][3]

Contributions to number theory

Yazdi identified the Amicable numbers (9,363,584; 9,437,056), which he derived using the classic formula of Thābit ibn Qurra for 𝑛 = 7. Though often attributed to Descartes or Fermat, this pair was first recorded by Yazdi.[4][5][6]

References

  1. ^ Costello, PAtrick (2002-05-01). "New amicable pairs of type $(2,2)$ and type $(3,2)$" (PDF). Mathematics of Computation. 72 (241). American Mathematical Society: 489–497. doi:10.1090/S0025-5718-02-01414-X. Retrieved 2007-04-19.
  2. ^ "Lawrence D'Antonio" (PDF). jointmathematicsmeetings.org.
  3. ^ 100 Birds Problem in the Works of Abū Kāmil, Kāshāni and Yazdi. January 2025.
  4. ^ "Numbers, Numbers". 14 September 2009.
  5. ^ "Amicable number". Archived from the original on 2014-07-21. Retrieved 2025-12-12.
  6. ^ "Numbers with Cool Names: Amicable, Sociable, Friendly". 10 May 2023.