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A000946 Euclid-Mullin sequence: a(1) = 2, a(n+1) is largest prime factor of Product_{k=1..n} a(k) + 1.
(Formerly M0864 N0330)
+0
40
2, 3, 7, 43, 139, 50207, 340999, 2365347734339, 4680225641471129, 1368845206580129, 889340324577880670089824574922371, 20766142440959799312827873190033784610984957267051218394040721, 34865461335237382945490214537050170087348731450926431492048548216142664669986376\ 03378972254923344607825545244648001799 (list; graph; listen)
OFFSET

1,1

COMMENT

Cox and van der Poorten claim to show that 5, 11, 13, 17, ... are not members of this sequence. - Charles R Greathouse IV, Jul 02 2007

REFERENCES

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. [Note that the argument used here is incorrect, as pointed out by Naur.]

R. K. Guy and R. Nowakowski, Discovering primes with Euclid, Delta (Waukesha), Vol. 5, pp. 49-63, 1975.

T. Naur, Mullin's sequence of primes is not monotonic, Proc. Amer. Math. Soc., 90 (1984), 43-44.

N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).

N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

S. S. Wagstaff, Jr., Computing Euclid's primes, Bull. Institute Combin. Applications, 8 (1993), 23-32.

CROSSREFS

Cf. A000945, A005265, A005266.

Sequence in context: A106864 A085682 A083369 this_sequence A091771 A072714 A051786

Adjacent sequences: A000943 A000944 A000945 this_sequence A000947 A000948 A000949

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com).

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.


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