N Average of g(n)

نویسنده

  • ANDREW M ODLYZKO
چکیده

Let d n pn the n th prime for n and let dk n jdk n dk n j for k n A well known conjecture usually ascribed to Gilbreath but actually due to Proth in the th century says that dk for all k This paper reports on a computation that veri ed this conjecture for k It also discusses the evidence and the heuristics about this conjecture It is very likely that similar conjectures are also valid for many other integer sequences

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تاریخ انتشار 2005