Mathematical constants

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C.f. Steven R: Finch’s book Mathematical Constants.

Well-known constants

• Pythagoras’ constant

  2√  2

  (a quadratic number)
• Golden mean

  ϕ = 1 + 2√  5 2

  (a quadratic number)
• Archimedes’ constant

  π

  (a transcendental number)
• Euler’s number

  e

  (a transcendental number)
• Euler–Mascheroni constant

  γ

  (not even known whether an irrational number or not!)
• Gelfond’s constant

  e  π

  (a transcendental number)
• Ramanujan’s constant

  e  π   2√  163

• i  i = e  −  π  / 2

• π  e

  (conjectured to be a transcendental number)
• Apéry’s constant

  ζ (3)

  (an irrational number, not known whether a transcendental number or not)
• Brun’s constant