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Prime numbers that do not appear in the Euclid-Mullin sequence A000946.
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%I #30 Feb 03 2023 01:39:50

%S 5,11,13,17,19,23,29,31,37,41,47,53,59,61,67,71,73

%N Prime numbers that do not appear in the Euclid-Mullin sequence A000946.

%C The sequence is known to continue indefinitely, but it is not known whether it is recursively enumerable. Cox and van der Poorten conjectured that it is and gave a method of computing new terms using the known terms of A000946.

%H A. R. Booker, <a href="http://www.emis.de/journals/INTEGERS/papers/a4self/a4self.Abstract.html">On Mullin's second sequence of primes</a>, Integers, 12A (2012), article A4.

%H C. D. Cox and A. J. van der Poorten, <a href="http://dx.doi.org/10.1017/S1446788700006236">On a sequence of prime numbers</a>, Journal of the Australian Mathematical Society 8 (1968), pp. 571-574.

%H A. A. Mullin, <a href="http://dx.doi.org/10.1090/S0002-9904-1963-11017-4">Research Problem 8: Recursive function theory</a>, Bull. Amer. Math. Soc., 69 (1963), 737.

%H P. Pollack and E. Trevino, <a href="http://pollack.uga.edu/mullin.pdf">The primes that Euclid forgot</a>, 2013.

%Y Cf. A000946 (Euclid-Mullin sequence).

%K nonn,more

%O 1,1

%A _Andrew R. Booker_, Mar 13 2013