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A183183
Numbers k such that (7*10^(2*k+1)+18*10^k-7)/9 is prime.
2
1, 2, 8, 19, 20, 212, 280, 887, 1021, 5515, 8116, 11852
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OFFSET
1,2
COMMENTS
a(13) > 10^5. -
Robert Price
, Jan 19 2016
REFERENCES
C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.
LINKS
Table of n, a(n) for n=1..12.
Patrick De Geest, World!Of Numbers,
Palindromic Wing Primes (PWP's)
Makoto Kamada,
Prime numbers of the form 77...77977...77
Index entries for primes involving repunits
.
FORMULA
a(n) = (
A077796
(n)-1)/2.
MATHEMATICA
Do[If[PrimeQ[(7*10^(2n + 1) + 18*10^n - 7)/9], Print[n]], {n, 3000}]
PROG
(PARI) is(n)=ispseudoprime((7*10^(2*n+1)+18*10^n-7)/9) \\
Charles R Greathouse IV
, Jun 13 2017
CROSSREFS
Cf.
A004023
,
A077775
-
A077798
,
A107123
-
A107127
,
A107648
,
A107649
,
A115073
,
A183174
-
A183187
.
Sequence in context:
A058217
A306616
A372223
*
A072675
A033711
A093012
Adjacent sequences:
A183180
A183181
A183182
*
A183184
A183185
A183186
KEYWORD
nonn
,
more
,
base
AUTHOR
Ray Chandler
, Dec 28 2010
STATUS
approved