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This document discusses the existence of bounded length intervals containing two primes and an almost-prime under certain assumptions about the distribution of primes. It builds on previous work by Goldston, Pintz, and Yıldırım, showing that if primes have a level of distribution greater than 1/2, there are infinitely many integers n for which the interval [n, n + D(θ, k)] contains two primes and k almost-primes. The results are framed within the context of various hypotheses regarding prime distributions a

Author

walterhu315

Language

EN