|
| |
|
|
A003617
|
|
Smallest n-digit prime.
(Formerly M2008)
|
|
44
|
|
|
|
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)
|
|
|
|
OFFSET
|
1,1
|
|
|
REFERENCES
|
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).
|
|
|
LINKS
|
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
|
|
|
MATHEMATICA
|
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 *)
|
|
|
PROG
|
(PARI) a(n)=nextprime(10^(n-1)) \\ Charles R Greathouse IV, Jul 15 2011
|
|
|
CROSSREFS
|
Cf. A003618, A033873.
Sequence in context: A115062 A062397 A158578 * A114018 A089770 A249447
Adjacent sequences: A003614 A003615 A003616 * A003618 A003619 A003620
|
|
|
KEYWORD
|
nonn,nice,base
|
|
|
AUTHOR
|
N. J. A. Sloane, Mira Bernstein
|
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger, Apr 08 2006
|
|
|
STATUS
|
approved
|
| |
|
|
