A056696 Numbers k such that 90*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

2, 4, 6, 32, 44, 104, 196, 198, 280, 300, 316, 1106, 1656, 3394, 35924, 37596, 64304, 80138, 221630

Offset

1,1

Comments

Also numbers k such that 10^(k+1) - 9 is a prime.

Links

Table of n, a(n) for n=1..19.

Makoto Kamada, Prime numbers of the form 99...991.

Index entries for primes involving repunits

Formula

a(n) = A095714(n) - 1.

Mathematica

Do[ If[ PrimeQ[90*(10^n - 1)/9 + 1], Print[n]], {n, 0, 7000}]

Crossrefs

Cf. A002275, A093177, A095714.

Sequence in context: A339759 A121069 A100838 * A045662 A195324 A175877

Adjacent sequences: A056693 A056694 A056695 * A056697 A056698 A056699

Keyword

nonn

Author

Robert G. Wilson v, Aug 10 2000

Extensions

a(15) - a(16) from Jason Earls, Jan 07 2008

a(17) - a(19) from Alexander Gramolin, May 13 2011

Edited by Ray Chandler, Feb 26 2012

Status

approved