login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A056722 Numbers k such that 8*10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k. 1

%I #22 Jul 08 2021 05:05:54

%S 2,3,26,110,141,474,902,1746,2997,3627,3788,51162,71670,78576,104942,

%T 122592,248145

%N Numbers k such that 8*10^k + R_k is prime, where R_k = 11...1 is the repunit (A002275) of length k.

%C Also numbers k such that (73*10^k - 1)/9 is prime.

%C The next term is > 10000. - _Hugo Pfoertner_, Oct 21 2004

%C a(18) > 250000. - _Robert Price_, Jan 21 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/8/81111.htm#prime">Prime numbers of the form 811...11</a>.

%H <a href="/index/Pri#Pri_rep">Index entries for primes involving repunits</a>

%t Do[ If[ PrimeQ[ 8*10^n + (10^n-1)/9], Print[n]], {n, 0, 5000}]

%Y Cf. A002275, A093633.

%K hard,nonn

%O 1,1

%A _Robert G. Wilson v_, Aug 11 2000

%E a(12)-a(17) from Kamada data by _Robert Price_, Jan 21 2015

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 25 13:02 EDT 2024. Contains 371969 sequences. (Running on oeis4.)