5040 (number) - Number Theory

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:

    The Oregon [matter] and the annexation of Texas are now all- important to the security and future peace and prosperity of our union, and I hope there are a sufficient number of pure American democrats to carry into effect the annexation of Texas and [extension of] our laws over Oregon. No temporizing policy or all is lost.
    Andrew Jackson (1767–1845)

    The theory seems to be that so long as a man is a failure he is one of God’s chillun, but that as soon as he has any luck he owes it to the Devil.
    —H.L. (Henry Lewis)