VOOZH
about
URL: https://oeis.org/A102939
⇱ A102939 - OEIS
login
A102939
Numbers k such that 10^k + 6*R_k - 3 is prime, where R_k = 11...1 is the repunit (
A002275
) of length k.
2
1, 2, 3, 18, 177, 324, 388, 392, 404, 531, 1083, 12546, 22443, 54388, 72916, 185520
(
list
;
graph
;
refs
;
listen
;
history
;
text
;
internal format
)
OFFSET
1,2
COMMENTS
Also numbers k such that (5*10^k - 11)/3 is prime.
a(16) > 10^5. -
Robert Price
, Nov 15 2014
LINKS
Table of n, a(n) for n=1..16.
Makoto Kamada,
Prime numbers of the form 166...663
.
Index entries for primes involving repunits
FORMULA
a(n) =
A102023
(n) + 1.
MAPLE
A102939
:=n->`if`(isprime((5*10^n-11)/3), n, NULL): seq(
A102939
(n), n=1..1000); #
Wesley Ivan Hurt
, Nov 15 2014
MATHEMATICA
Do[ If[ PrimeQ[(5*10^n - 11)/3], Print[n]], {n, 0, 10000}]
CROSSREFS
Cf.
A002275
,
A102023
.
Sequence in context:
A226961
A374865
A107095
*
A073983
A230602
A269343
Adjacent sequences:
A102936
A102937
A102938
*
A102940
A102941
A102942
KEYWORD
more
,
nonn
AUTHOR
Robert G. Wilson v
, Dec 16 2004
EXTENSIONS
Addition of a(12)-a(13) from Kamada data by
Robert Price
, Dec 12 2010
a(14)-a(15) from Kamada data by
Robert Price
, Nov 15 2014
a(16) from Kamada data by
Tyler Busby
, Apr 16 2024
STATUS
approved