login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A293398 Numbers k such that (728*10^k - 71)/9 is prime. 0
0, 2, 5, 6, 11, 14, 41, 47, 51, 84, 164, 228, 293, 1178, 1212, 1292, 2099, 2694, 4446, 7382, 13638, 39428, 40971 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

For k > 0, numbers such that the digits 80 followed by k-1 occurrences of the digit 8 followed by the digit 1 is prime (see Example section).

a(24) > 2*10^5.

LINKS

Table of n, a(n) for n=1..23.

Makoto Kamada, Factorization of near-repdigit-related numbers.

Makoto Kamada, Search for 808w1.

EXAMPLE

2 is in this sequence because (728*10^2 - 71)/9 = 8081 is prime.

Initial terms and primes associated:

a(1) = 0, 73;

a(2) = 2, 8081;

a(3) = 5, 8088881;

a(4) = 6, 80888881;

a(5) = 11, 8088888888881; etc.

MATHEMATICA

Select[Range[0, 100000], PrimeQ[(728*10^# - 71)/9] &]

PROG

(PARI) isok(k) = isprime((728*10^k - 71)/9); \\ Altug Alkan, Oct 08 2017

CROSSREFS

Cf. A056654, A268448, A269303, A270339, A270613, A270831, A270890, A270929, A271269.

Sequence in context: A135013 A239447 A336527 * A180323 A103035 A088273

Adjacent sequences:  A293395 A293396 A293397 * A293399 A293400 A293401

KEYWORD

nonn,more,hard

AUTHOR

Robert Price, Oct 08 2017

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 21 17:36 EDT 2021. Contains 343156 sequences. (Running on oeis4.)