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A003617
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Smallest n-digit prime.
(Formerly M2008)
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45
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2, 11, 101, 1009, 10007, 100003, 1000003, 10000019, 100000007, 1000000007, 10000000019, 100000000003, 1000000000039, 10000000000037, 100000000000031, 1000000000000037, 10000000000000061, 100000000000000003, 1000000000000000003
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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1,1
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REFERENCES
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O'Hara, J. Rec. Math., 22 (1990), Table on page 278.
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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T. D. Noe, Table of n, a(n) for n=1..200 [Jon E. Schoenfield has confirmed that these are primes using MAGMA, Jan 31 2009]
Eric Weisstein's World of Mathematics, Next Prime
R. G. Wilson, v., Extract from letter to N. J. A. Sloane, May 20 1994, with annotated scanned copy of page 278 of O'Hara article.
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MATHEMATICA
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Table[a := 10^n + 1; While[ ! PrimeQ[a], a++ ]; a, {n, 0, 30}] (* Stefan Steinerberger, Apr 08 2006 *)
NextPrime/@(10^Range[0, 20]) (* Harvey P. Dale, May 01 2011 *)
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PROG
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(PARI) a(n)=nextprime(10^(n-1)) \\ Charles R Greathouse IV, Jul 15 2011
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CROSSREFS
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Cf. A003618, A033873.
Sequence in context: A115062 A062397 A158578 * A114018 A089770 A249447
Adjacent sequences: A003614 A003615 A003616 * A003618 A003619 A003620
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KEYWORD
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nonn,nice,base
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AUTHOR
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N. J. A. Sloane, Mira Bernstein
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EXTENSIONS
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More terms from Stefan Steinerberger, Apr 08 2006
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STATUS
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approved
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