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In number theory, Skewes's number is any of several large numbers used by the South African mathematician Stanley Skewes as upper bounds for the smallest natural number for which > (), where π is the prime-counting function and li is the logarithmic integral function.
The Skewes number (or first Skewes number) is the number Sk_1 above which pi(n)<li(n) must fail (assuming that the Riemann hypothesis is true), where pi(n) is the prime counting function and li(n) is the logarithmic integral.
Skewe's number: In 1933, Stanley Skewes used the number 10 10 10 34 (= 10^10^10^34) in a proof involving prime numbers. G. H. Hardy said it was "the largest number which has ever served any definite purpose in mathematics". Graham's number: In 1971, Ronald Graham used a much larger number in a proof involving combinatorics. The number is so ...
10 mar 2015 · Graham's number is much larger than many other large numbers such as a googol, googolplex, Skewes' number and Moser's number. Similiar question can be found at math https://math.stackexchange.com/questions/2497/what-is-the-biggest-number-ever-used-in-a-mathematical-proof.
To calculate how much bigger 10 10^10^34 is than Skewes' number, we'll represent it using a somewhat closer approximation, namely 10 10^33.94704. Remember the Skewes' universes we went over...
20 lip 2015 · Graham's number is much larger than many other large numbers such as a googol, googolplex, Skewes' number and Moser's number. Indeed, like the last two of those numbers, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies one Planck volume.
To be sure, M77232917 isn't in the same league as the Googolplex or Skewes' number. But if you wrote the newfound number out in its entirety at a rate of five digits per inch, the whole thing would exceed 73 miles (118 kilometers) in length.
