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A103050 Numbers n such that 7*10^n + R_n + 2 is prime, where R_n = 11...1 is the repunit (A002275) of length n. 1

%I #25 Jan 17 2019 13:44:07

%S 1,7,133,938,17666,20864,56756

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

%C Also numbers n such that (64*10^n+17)/9 is prime.

%C a(8) > 10^5. - _Robert Price_, Sep 18 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/7/71113.htm#prime">Prime numbers of the form 711...113</a>.

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

%F a(n) = A101131(n) + 1.

%t Do[ If[ PrimeQ[(64*10^n + 17)/9], Print[n]], {n, 0, 10000}]

%o (PARI) is(n)=isprime((64*10^n + 17)/9) \\ _Anders Hellström_, Sep 18 2015

%Y Cf. A002275, A101131.

%K more,nonn

%O 1,2

%A _Robert G. Wilson v_, Jan 19 2005

%E a(5)-a(6) from Kamada data by _Robert Price_, Dec 14 2010

%E a(7) from _Robert Price_, Sep 18 2015

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Last modified April 28 03:10 EDT 2024. Contains 372020 sequences. (Running on oeis4.)