|
|
A256800
|
|
Numbers k such that 3*R_k + 50 is prime, where R_k = 11...1 is the repunit (A002275) of length k.
|
|
0
|
|
|
1, 2, 3, 6, 7, 13, 22, 28, 32, 126, 172, 186, 267, 650, 693, 1083, 3783, 12294, 18134, 53859, 66650, 72097, 98890, 125706, 200001
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,2
|
|
COMMENTS
|
Also, numbers k such that (10^k + 149)/3 is prime.
Terms from Kamada data. Note that Kamada does not recognize k=1 as 53 is a degenerate case of form AAA..ABA.
a(26) > 2.5*10^5.
|
|
LINKS
|
|
|
EXAMPLE
|
For k=3, 3*R_3 + 50 = 333 + 50 = 383 which is prime.
|
|
MATHEMATICA
|
Select[Range[0, 250000], PrimeQ[(10^# + 149)/3] &]
|
|
PROG
|
(Magma) [n: n in [0..300] | IsPrime((10^n+149) div 3)]; // Vincenzo Librandi, Apr 11 2015
|
|
CROSSREFS
|
|
|
KEYWORD
|
more,hard,nonn
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|