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A056656 Numbers k such that 20*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k. 2

%I #32 Jul 04 2021 19:04:02

%S 0,1,2,7,10,35,94,100,127,259,350,466,644,1010,1177,1216,2441,3760,

%T 3805,15616,26458,63116,88544,93496

%N Numbers k such that 20*R_k + 3 is prime, where R_k = 11...1 is the repunit (A002275) of length k.

%C Also numbers k such that (2*10^(k+1)+7)/9 is prime.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/2/22223.htm#prime">Prime numbers of the form 22...223</a>.

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

%F a(n) = A096506(n) - 1.

%t Do[ If[ PrimeQ[ 20*(10^n - 1)/9 + 3 ], Print[n]], {n, 7000}]

%Y Cf. A093162 (corresponding primes), A096056.

%K nonn

%O 1,3

%A _Robert G. Wilson v_, Aug 09 2000

%E 2441 from _Rick L. Shepherd_, Mar 27 2004

%E 15616 and 26458 from Erik Branger, Jan 31 2010

%E 63116, 88544 and 93496 from Erik Branger, Mar 14 2011; confirmed as next terms by _Ray Chandler_, Feb 17 2012

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Last modified April 23 06:04 EDT 2024. Contains 371906 sequences. (Running on oeis4.)