Number Theory
If is the divisor function and is the Euler-Mascheroni constant, then 5040 is the largest known number for which this inequality holds:
- .
This is somewhat unusual, since in the limit we have:
Guy Robin showed in 1984 that the inequality fails for all larger numbers if and only if the Riemann hypothesis is true.
Read more about this topic: 5040 (number)
Famous quotes containing the words number and/or theory:
“I believe if we introduced the Lord’s Prayer here, senators would propose a large number of amendments to it.”
—Henry Wilson (1812–1875)
“... liberal intellectuals ... tend to have a classical theory of politics, in which the state has a monopoly of power; hoping that those in positions of authority may prove to be enlightened men, wielding power justly, they are natural, if cautious, allies of the “establishment.””
—Susan Sontag (b. 1933)