

A257034


Numbers k such that 7*R_(k+2) + 2*10^k is prime, where R_k = 11...1 is the repunit (A002275) of length n.


0



0, 1, 3, 9, 16, 30, 45, 123, 171, 295, 324, 2785, 2791, 3910, 4015, 4050, 6319, 6415, 14670
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,3


COMMENTS

Also, numbers k such that (718*10^n7)/9 is prime.
Terms from Kamada.
a(20) > 10^5.


LINKS

Table of n, a(n) for n=1..19.
Makoto Kamada, Nearrepdigit numbers of the form ABAA...AA.
Makoto Kamada, Prime numbers of the form 7977...77.
Index entries for primes involving repunits.


EXAMPLE

For k=3, 7*R_5 + 2*10^3 = 77777 + 2000 = 79777 which is prime.


MATHEMATICA

Select[Range[0, 30000], PrimeQ[(718*10^#7)/9 ] &]


PROG

(MAGMA) [n: n in [0..400]  IsPrime((718*10^n1) div 9)]; // Vincenzo Librandi, Apr 15 2015


CROSSREFS

Cf. A002275.
Sequence in context: A244475 A212870 A306447 * A232167 A058538 A197531
Adjacent sequences: A257031 A257032 A257033 * A257035 A257036 A257037


KEYWORD

more,hard,nonn


AUTHOR

Robert Price, Apr 14 2015


STATUS

approved



