Second Hardy-Littlewood conjecture

This article page is a stub, please help by expanding it.

In 1923, G. H. Hardy and J. E. Littlewood proposed their second conjecture

Conjecture (Second Hardy-Littlewood conjecture, 1923). (G. H. Hardy, J. E. Littlewood)

For all 

x, y   ≥   2

,

$\pi (x+y)\leq \pi (x)+\pi (y),\,$

where 

π (x)

is the prime counting function.

See also

• First Hardy-Littlewood conjecture (k-tuple conjecture)

External links

• Weisstein, Eric W., Hardy-Littlewood Conjectures, from MathWorld—A Wolfram Web Resource.