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!)
A102984 Numbers n such that 4*10^n + 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #17 Jan 17 2019 13:44:07

%S 0,1,2,4,7,22,23,80,4427,31319,80150,91144

%N Numbers n such that 4*10^n + 2*R_n - 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (38*10^n-11)/9 is prime.

%C a(13) > 10^5. - _Robert Price_, May 08 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/4/42221.htm#prime">Prime numbers of the form 422...221</a>.

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

%F a(n) = A101719(n) + 1.

%t Do[ If[ PrimeQ[(38*10^n - 11)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101719.

%K more,nonn

%O 1,3

%A _Robert G. Wilson v_, Dec 22 2004

%E a(10) from Erik Branger May 01 2013 by _Ray Chandler_, Aug 16 2013

%E a(1) = 0 from _Robert Price_, May 08 2015

%E a(11)-a(12) from _Robert Price_, May 08 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 May 4 13:22 EDT 2024. Contains 372243 sequences. (Running on oeis4.)