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A093777 a(n) is the smallest prime which, if used to start a Euclid-Mullin sequence (like A000945), the resulting sequence contains the n consecutive primes 2, 3, ..., prime(n). 7
2, 2, 19, 199, 2089, 99109, 1960969, 10129129, 87726649, 4549584049, 328034245549, 20584643748679, 666188861477149, 31395465477725359, 894857713367947339, 434392154438254391389, 17934770256689308411399 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Thanks in part to Dirichlet's theorem, a(n) exists for each n. - Don Reble, Oct 07 2006

LINKS

Table of n, a(n) for n=1..17.

EXAMPLE

a(1) = a(2) = 2 because they generate {2,3,7,43,13,...};

a(3) = 19 because it generates {19,2,3,5,571,271,...}, see A051312;

a(4) = 199 because it generates {199,2,3,5,7,881,...};

a(5) = 2089 because it generates {2089,2,3,5,7,11,269,...};

a(6) = 99019 because it generates {99089,2,3,5,7,11,13,2976243271,...};

a(7) = 1960969 because it generates {1960969,2,3,5,7,11,13,17,281,47,419,5539788476533581271,37,19,73,...}

CROSSREFS

Cf. A093778-A093780, A000945, A051309-A051334, A051614, A051614-A051616, A056756.

Sequence in context: A184317 A141084 A172194 * A326177 A103129 A322898

Adjacent sequences:  A093774 A093775 A093776 * A093778 A093779 A093780

KEYWORD

nonn

AUTHOR

Labos Elemer, May 03 2004

EXTENSIONS

More terms from Don Reble, Oct 07 2006

STATUS

approved

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Last modified September 18 20:22 EDT 2019. Contains 327181 sequences. (Running on oeis4.)