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Martin Sleziak
Martin Sleziak
08:20
@user170039 Just in case somebody notices your question here in chat, I thought it might be worth mentioning that now there is a question on main about this: Is the following weak version of second Hardy-Littlewood conjecture already known?
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Q: Is the following weak version of second Hardy-Littlewood conjecture already known?

user 170039Very recently I was going through my previous MSE posts and I stumbled upon some of them regarding the Second Hardy-Littlewood Conjecture which states that, For all $x,y\ge 2$ we have, $$\pi(x)+\pi(y)\ge \pi(x+y)$$where $\pi$ is the Prime Counting Function. Observing that the Second Hrady-...

nt.number-theory reference-request analytic-number-theory prime-numbers conjectures

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