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A103015 Numbers n such that 5*10^n + 4*R_n + 3 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #16 Jan 17 2019 13:44:07

%S 2,6,8,18,53,68,242,276,320,564,620,1782,2340,2454,5765,15530,15605,

%T 22938

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

%C Also numbers n such that (49*10^n+23)/9 is prime.

%C a(19) > 10^5. - _Robert Price_, Jul 29 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/5/54447.htm#prime">Prime numbers of the form 544...447</a>.

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

%F a(n) = A101580(n) + 1.

%t Do[ If[ PrimeQ[(49*10^n + 23)/9], Print[n]], {n, 0, 10000}]

%Y Cf. A002275, A101580.

%K more,nonn

%O 1,1

%A _Robert G. Wilson v_, Jan 18 2005

%E a(16)-a(18) from Kamada data by _Robert Price_, Dec 14 2010

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Last modified April 24 10:11 EDT 2024. Contains 371935 sequences. (Running on oeis4.)