Under Elliott-Halberstam conjecture, infinitely many twin almost-primes exist with explicit asymptotic via improved localized sieve.
Chen’s double sieve, goldbach’s conjecture and the twin prime problem
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Twins almost prime under a Elliott-Halberstam's conjecture
Under Elliott-Halberstam conjecture, infinitely many twin almost-primes exist with explicit asymptotic via improved localized sieve.