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Results tagged with inequalities
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user 3206
for questions involving inequalities, upper and lower bounds.
4
votes
Accepted
Conjecture:if $i<j$,then $\pi(p[i]+i)-i<=\pi(p[j]+j)-j+1$
I believe your inequality $p(i+1) \leq p(i) + i$ is true, but that there is no short and elementary proof. It follows from inspection and some known results on the length of gaps between primes, cf. …
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