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A102990 Numbers n such that 4*10^n + 3*R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 2

%I #24 Jan 17 2019 13:44:07

%S 2,3,6,11,15,26,28,51,150,182,228,407,638,3581,4125,4983,5666,15890,

%T 27743,43362,55367,60744,73701

%N Numbers n such that 4*10^n + 3*R_n + 6 is prime, where R_n = 11...1 is the repunit (A002275) of length n.

%C Also numbers n such that (13*10^n+17)/3 is prime.

%C a(24) > 10^5. - _Robert Price_, Jun 25 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/4/43339.htm#prime">Prime numbers of the form 433...339</a>.

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

%F a(n) = A101725(n) + 1.

%t Do[ If[ PrimeQ[(13*10^n + 17)/3], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101725.

%K more,nonn

%O 1,1

%A _Robert G. Wilson v_, Jan 17 2005

%E Addition of a(18)-a(19) from Kamada data by _Robert Price_, Dec 10 2010

%E a(20) from Erik Branger, May 01 2013, submitted by _Ray Chandler_, Aug 16 2013

%E a(21)-a(23) from _Robert Price_, Jun 25 2015

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Last modified April 19 19:02 EDT 2024. Contains 371798 sequences. (Running on oeis4.)