The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
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!)
A102977 Numbers n such that 3*10^n + 7*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #21 Jan 17 2019 13:44:07

%S 0,2,3,5,6,20,776,1185,3164,4212,10733,21726,38235

%N Numbers n such that 3*10^n + 7*R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (34*10^n+11)/9 is prime.

%C a(14) > 10^5. - _Robert Price_, May 08 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/3/37779.htm#prime">Prime numbers of the form 377...779</a>.

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

%F a(n) = A101843(n-1) + 1.

%t Do[ If[ PrimeQ[(34*10^n + 11)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101843.

%K more,nonn

%O 1,2

%A _Robert G. Wilson v_, Dec 17 2004

%E Addition of a(11)-a(12) from Kamada data by _Robert Price_, Dec 13 2010

%E a(13) from Erik Branger May 01 2013 by _Ray Chandler_, Aug 16 2013

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 28 22:13 EDT 2024. Contains 372921 sequences. (Running on oeis4.)