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@article{Odlyzko93,
	author={A. M. Odlyzko},
	title={Iterated Absolute Values of Differences of Consecutive Primes},
	abstract={Let $d_{0}(n) = p_n$, the $n$-th prime, for $n \ge 1$, and let $d_{k+1}(n)
		= | d_{k}(n) - d_{k}(n+1) |$ for $k \ge 0$, $n \ge 1$. A well known conjecture,
		usually ascribed to Gilbreath but actually due to Proth in the 19-th century,
		says that $d_{k}(1) =1$ for all $k \ge 1$. This paper reports on a computation
		that verified this conjecture for $k \le \pi(10^{13}) \approx 3 \times
		10^{11}$. 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.},
	journal= mc,
	volume= 61,
	year= 1993,
	pages={373-380},
	mrnumber={93k:11119 }
}