Sieving for large twin primes and Cunningham
chains of length 2 of the second kind

Abstract. In this paper we study the details of a triple sieving method for Cunningham chains of length 2 of the second kind and twin primes. The theoretical background is described, and also concrete computational results are published. The magnitude of the investigated numbers is \(2^{253824}\) (more than 76 000 decimal digits).