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A103012
Numbers k such that 5*10^k + 3*R_k + 6 is prime, where R_k = 11...1 is the repunit (
A002275
) of length k.
1
0, 1, 47, 69, 99, 575, 715, 2179, 10541
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OFFSET
1,3
COMMENTS
Also numbers k such that (16*10^k+17)/3 is prime.
a(10) > 10^5. -
Robert Price
, Sep 08 2015
LINKS
Table of n, a(n) for n=1..9.
Makoto Kamada,
Prime numbers of the form 533...339
.
Index entries for primes involving repunits
.
FORMULA
a(n) =
A101577
(n-1) + 1 for n>1.
EXAMPLE
For n=0, (16*10^n+17)/3=11 which is prime, so 0 is in the sequence.
MATHEMATICA
Do[ If[ PrimeQ[(16*10^n + 17)/3], Print[n]], {n, 0, 10000}]
CROSSREFS
Cf.
A002275
,
A101577
.
Sequence in context:
A245745
A023331
A187923
*
A166958
A112056
A033231
Adjacent sequences:
A103009
A103010
A103011
*
A103013
A103014
A103015
KEYWORD
nonn
AUTHOR
Robert G. Wilson v
, Jan 18 2005
EXTENSIONS
a(9) from Kamada data by
Robert Price
, Dec 14 2010
Inserted a(1)=0 by
Robert Price
, Sep 08 2015
STATUS
approved