Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
A216227
Prime numbers that do not appear in the Euclid-Mullin sequence A000946.
1
5, 11, 13, 17, 19, 23, 29, 31, 37, 41, 47, 53, 59, 61, 67, 71, 73
OFFSET
1,1
COMMENTS
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.
LINKS
A. R. Booker, On Mullin's second sequence of primes, Integers, 12A (2012), article A4.
C. D. Cox and A. J. van der Poorten, On a sequence of prime numbers, Journal of the Australian Mathematical Society 8 (1968), pp. 571-574.
A. A. Mullin, Research Problem 8: Recursive function theory, Bull. Amer. Math. Soc., 69 (1963), 737.
P. Pollack and E. Trevino, The primes that Euclid forgot, 2013.
CROSSREFS
Cf. A000946 (Euclid-Mullin sequence).
Sequence in context: A206547 A295584 A185208 * A020611 A156312 A172988
KEYWORD
nonn,more
AUTHOR
Andrew R. Booker, Mar 13 2013
STATUS
approved