

A097683


Numbers n such that R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.


7



0, 1, 2, 3, 5, 9, 11, 24, 84, 221, 1314, 2952, 20016, 51054
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OFFSET

1,3


COMMENTS

Also numbers n such that (10^n+17)/9 is prime.
Values indicate primes of the form "(n1) ones followed by a three"; zero is a degenerate case. Related to the base 10 repunit primes.
a(15) > 10^5.  Robert Price, Oct 12 2014


LINKS

Table of n, a(n) for n=1..14.
Makoto Kamada, Prime numbers of the form 11...113.
Index entries for primes involving repunits


FORMULA

a(n) = A056654(n1) + 1.


EXAMPLE

11113 = ((10^5)+17)/9 and 11113 is prime.


MAPLE

A097683:=n>`if`((10^n+17 mod 9) = 0 and isprime(floor((10^n+17)/9)), n, NULL): seq(A097683(n), n=0..10^3); # Wesley Ivan Hurt, Oct 12 2014


MATHEMATICA

Do[ If[ PrimeQ[(10^n  1)/9 + 2], Print[n]], {n, 0, 5951}] (* Robert G. Wilson v, Oct 15 2004 *)


CROSSREFS

Cf. A002275, A004023, A056654, A097684, A097685.
Sequence in context: A275466 A317786 A019276 * A334264 A141403 A124204
Adjacent sequences: A097680 A097681 A097682 * A097684 A097685 A097686


KEYWORD

more,nonn


AUTHOR

Carl R. White and Julien Peter Benney (jpbenney(AT)ftml.net), Aug 19 2004


EXTENSIONS

a(11)a(12) from Robert G. Wilson v, Oct 15 2004
Edited by N. J. A. Sloane, Apr 02 2009, at the suggestion of Farideh Firoozbakht
a(13) from Kamada link by Ray Chandler, Dec 23 2010
a(14) from Robert Price, Oct 12 2014


STATUS

approved



