A006988 - OEIS

A006988

a(n) = (10^n)-th prime.
(Formerly M2151)

2, 29, 541, 7919, 104729, 1299709, 15485863, 179424673, 2038074743, 22801763489, 252097800623, 2760727302517, 29996224275833, 323780508946331, 3475385758524527, 37124508045065437, 394906913903735329, 4185296581467695669, 44211790234832169331

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,1

COMMENTS

Check the b-file for terms beyond those listed above.

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

EXAMPLE

a(0) = 10^0-th prime = first prime = 2.

MAPLE

A006988:=n->ithprime(10^n): seq(A006988(n), n=0..7); # Wesley Ivan Hurt, Nov 21 2014

MATHEMATICA

Table[Prime[10^n], {n, 0, 12}]

PROG

(PARI) a(n)=prime(10^n) \\ Charles R Greathouse IV, Jul 21 2011