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A257041 Numbers k such that 9*R_(k+2) - 10^k is prime, where R_k = 11...1 is the repunit (A002275) of length k. 0
3, 4, 5, 9, 19, 25, 34, 70, 82, 718, 2035, 2494, 3369, 3953, 4219, 8524, 30943, 49375, 52082, 139670, 303255 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Also, numbers k such that 99*10^k - 1 is prime.

Terms from Kamada.

LINKS

Table of n, a(n) for n=1..21.

Makoto Kamada, Near-repdigit numbers of the form ABAA...AA.

Makoto Kamada, Prime numbers of the form 9899...99.

Index entries for primes involving repunits.

EXAMPLE

For k=3, 9*R_5 - 10^3 = 99999 - 1000 = 98999 which is prime.

MATHEMATICA

Select[Range[0, 280000], PrimeQ[99*10^#-1 ] &]

PROG

(MAGMA) [n: n in [0..300] | IsPrime(99*10^n-1)]; // Vincenzo Librandi, Apr 15 2015

CROSSREFS

Cf. A002275.

Sequence in context: A195971 A080552 A215176 * A056797 A029727 A086186

Adjacent sequences:  A257038 A257039 A257040 * A257042 A257043 A257044

KEYWORD

more,hard,nonn

AUTHOR

Robert Price, Apr 14 2015

EXTENSIONS

a(21) from Predrag Kurtovic, May 24 2015

STATUS

approved

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Last modified July 24 15:05 EDT 2021. Contains 346273 sequences. (Running on oeis4.)