'Special' Numbers

  • \(0\)
  • 11


  • 2\sqrt2
  • ϕ or (5+12)\phi \ or\ (\frac{\sqrt5+1}{2})
  • i or 1i\ or\ \sqrt{-1}

  • τ or 2π\tau\ or\ 2\pi

  • \infty (Thanks to Jeff Giff)
  • W(1)W(1) (the solution to xex=1xe^x=1 (Thanks to James Watson)

  • 299792458299792458 (the speed of light in a vacuum in ms\frac{m}{s})
  • 6.67408×1011\approx 6.67408 \times 10^{-11} (the universal gravitational constant in m3kgs2\frac{m^3}{kg \cdot s^2})
  • 1.616255×1035\approx 1.616255 \times 10^{-35} (the Planck length in mm) (Thanks to James Watson)
  • 5.39121×1044\approx 5.39121\times 10^{-44} (the Planck time in ss) (Thanks to James Watson)

If there are other numbers that you think should be added to this list, please comment.

#NumberTheory

Note by Lâm Lê
8 months, 2 weeks ago

No vote yet
1 vote

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Comments

There are many numbers like c, g and more that you can add @Lin Le. C is the speed of light, and g is the universal gravitational constant.

A Former Brilliant Member - 8 months, 1 week ago

\infty

Jeff Giff - 8 months, 2 weeks ago

Ω\Omega which is the solution to xex=1xe^x=1 (can also be expressed as W(1)W(1) where W()W(\cdot) is the Lambert's W Function/product log)

James Watson - 8 months, 1 week ago

also the Planck length/time

James Watson - 8 months, 1 week ago

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How would you put Planck units as numbers?

Lâm Lê - 8 months, 1 week ago

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normal units of measurement. for example: 1 Planck Length 1.616255×1035 meters, 1 Planck Time 5.39×1044 seconds1 \text{ Planck Length } \approx 1.616255×10^{-35} \text{ meters, }1 \text{ Planck Time } \approx 5.39 \times 10^{-44}\text{ seconds}

James Watson - 8 months, 1 week ago
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