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@article{CDP97,
	author={R. Crandall and K. Dilcher and C. Pomerance},
	title={A Search for {Wieferich} and {Wilson} Primes},
	abstract={An odd prime $p$ is called a {\it Wieferich prime} if $$2^{p-1} \equiv 1
		\pmod{p^2};$$ alternatively, a {\it Wilson prime} if $$(p-1)!\equiv -1
		\pmod{p^2}.$$ To date the only known Wieferich primes are $p=1093$ and
		$3511$, while the only known Wilson primes are $p=5, 13$, and $563$. We
		report that there exist no new Wieferich primes $p\lt 4\times 10^12$, and
		no new Wilson primes $p\lt 5\times 10^8$. It is elementary that both defining
		congruences above hold merely $\pmod{p}$, and it is sometimes estimated
		on heuristic grounds that the ''probability'' that $p$ is Wieferich (independently:
		that $p$ is Wilson) is about $1/p$. We provide some statistical data relevant
		to occurrences of small values of the pertinent Fermat and Wilson quotients
		$\pmod{p}$.},
	journal= mc,
	volume= 66,
	year= 1997,
	pages={433--449},
	number= 217 ,
	mrnumber={97c:11004}
}