🔬 Discovery

Virahanka numbers (Fibonacci sequence)

Números de Virahanka (sucesión de Fibonacci)

Date
c. 700 · confidence low
Place
Northern India, India
Credited to
Virahanka (later Gopala and Hemachandra)
People
👤 Virahanka
Field
Knowledge & symbols

⚠️ Disputed: the sources disagree.

What was discovered

By counting how many poetic metres of a given duration can be formed with short (1) and long (2) syllables, Virahanka found that each number is the sum of the two before it: 1, 2, 3, 5, 8, 13… It predates the Liber Abaci by five centuries.

Indian priority over Fibonacci (1202) is clear, but there is no evidence of transmission; Virahanka's date is imprecise (6th-8th centuries).

What it led to

  • Indian metrical combinatorics
  • rules of Gopala (c. 1135) and Hemachandra (c. 1150)
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Sources✓ verified 2026-09-23