= Hardy–Littlewood twin-prime asymptotic conjecture
{c}
{title2=$\#\{p\leq N:p+2\text{ prime}\}\sim2C_2N/(\log N)^2$}
The local-density prediction for twin primes is the displayed asymptotic, with the <twin-prime constant> $C_2$. It is stronger than infinitude alone. The <Selberg sieve> proves the correct order of magnitude as an upper bound, but the <parity problem in sieve theory> prevents its elementary majorant from proving this conjectured asymptotic.
// Target: analytic-number-theory.bigb
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