A006988 a(n) = (10^n)-th prime.
2, 29, 541, 7919, 104729, 1299709, 15485863, 179424673, 2038074743, 22801763489, 252097800623, 2760727302517, 29996224275833, 323780508946331, 3475385758524527, 37124508045065437, 394906913903735329, 4185296581467695669, 44211790234832169331
Offset: 0
Examples
a(0) = 10^0-th prime = first prime = 2.
References
- R. L. Graham, D. E. Knuth and O. Patashnik, Concrete Mathematics. Addison-Wesley, Reading, MA, 1990, p. 111.
- N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
Links
- Marc Deleglise et al., Table of n, a(n) for n = 0..24 (a(23) corrected and a(24) added using Kim Walisch's primecount program, by David Baugh, Nov 11 2015)
- C. K. Caldwell, Marc Deleglise's work on new values of pi(x)
- UTM, The Nth Prime Page.
- Eric Weisstein's World of Mathematics, Prime Number
- R. G. Wilson, V, Letter to N. J. A. Sloane, Jan. 1989
Crossrefs
Programs
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Maple
A006988:=n->ithprime(10^n): seq(A006988(n), n=0..7); # Wesley Ivan Hurt, Nov 21 2014
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Mathematica
Table[Prime[10^n], {n, 0, 12}] -
PARI
a(n)=prime(10^n) \\ Charles R Greathouse IV, Jul 21 2011
Extensions
More terms from Paul Zimmermann
a(19) from Marc Deleglise, Jun 29 2008
a(20) found by Andrey V. Kulsha using a program by Xavier Gourdon, Oct 05 2011
a(21) from Henri Lifchitz, Sep 09 2014
a(22) from Henri Lifchitz, Nov 21 2014
Comments