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 happen to feel that the degree of a persons intelligence is directly reflected by the number of conflicting attitudes she can bring to bear on the same topic.”
—Lisa Alther (b. 1944)
“Could Shakespeare give a theory of Shakespeare?”
—Ralph Waldo Emerson (18031882)