The strong twin prime conjecture posits that the number π_2(x) of twin primes (p, p + 2) less than or equal to x is asymptotically equal to π_2(x)~2Π_2 integral_2^x2^t/(log^2(t))dt, where Π_2 is the so-called twin primes constant.

first Hardy-Littlewood conjecture

status | open

π_2(x)~2Π_2 integral_2^x2^t/(log^2(t))dt

mathematical conjectures | unsolved mathematics problems