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!)
A102973 Numbers n such that 3*10^n + 5*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #20 Jan 17 2019 13:44:07

%S 0,2,3,5,8,14,77,195,218,957,1052,1163,1485,1731,1970,3237,17354,85964

%N Numbers n such that 3*10^n + 5*R_n + 4 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (32*10^n+31)/9 is prime.

%C a(19) > 10^5. - _Robert Price_, May 31 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/3/35559.htm#prime">Prime numbers of the form 355...559</a>.

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

%F a(n) = A101838(n-1) + 1.

%t Do[ If[ PrimeQ[(32*10^n+31)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101838.

%K more,nonn

%O 1,2

%A _Robert G. Wilson v_, Dec 17 2004

%E Addition of a(17) from Kamada data by _Robert Price_, Dec 12 2010

%E a(18) from _Robert Price_, May 31 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 18 06:24 EDT 2024. Contains 371769 sequences. (Running on oeis4.)