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A056725
Numbers k such that 9*10^k - 1 is prime.
16
1, 3, 7, 19, 29, 37, 93, 935, 8415, 9631, 11143, 41475, 41917, 48051, 107663, 212903, 223871, 260253, 364521, 383643, 1009567, 1762063
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OFFSET
1,2
COMMENTS
Also numbers k such that 8*10^k + 9*R_k is prime, where R_k = 11...1 is the repunit (
A002275
) of length k.
1009567 is also a member of this sequence, but its position is presently undetermined: 9 * 10^1009567 - 1 is prime. -
Predrag Kurtovic
, Sep 19 2016
LINKS
Table of n, a(n) for n=1..22.
Makoto Kamada,
Prime numbers of the form 899...999
.
Index entries for primes involving repunits
MATHEMATICA
Do[ If[ PrimeQ[ 8*10^n + (10^n-1)], Print[n]], {n, 1, 6750, 2}]
PROG
(PARI) is(n)=isprime(9*10^n-1) \\
Charles R Greathouse IV
, Feb 17 2017
CROSSREFS
Cf.
A003307
,
A002235
,
A046865
,
A079906
,
A046866
,
A001771
,
A005541
,
A046867
,
A079907
.
Sequence in context:
A186452
A016046
A239219
*
A091738
A340752
A360228
Adjacent sequences:
A056722
A056723
A056724
*
A056726
A056727
A056728
KEYWORD
hard
,
nonn
,
more
AUTHOR
Robert G. Wilson v
, Aug 11 2000
EXTENSIONS
More terms from Herman Jamke (hermanjamke(AT)fastmail.fm), Jan 01 2008
a(16)-a(20) from Kamada data by
Robert Price
, Oct 19 2014
a(21) from Kamada data by
Robert Price
, Mar 10 2019
a(22) from Kamada data by
Mohammed Yaseen
, Jul 18 2021
STATUS
approved