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A183184 Numbers n such that 10^(2n+1)-8*10^n-1 is prime. 4

%I #17 Jan 17 2019 13:44:08

%S 1,5,13,43,169,181,1579,18077,22652,157363

%N Numbers n such that 10^(2n+1)-8*10^n-1 is prime.

%D C. Caldwell and H. Dubner, "Journal of Recreational Mathematics", Volume 28, No. 1, 1996-97, pp. 1-9.

%H Patrick De Geest, World!Of Numbers, <a href="http://www.worldofnumbers.com/wing.htm#pwp919">Palindromic Wing Primes (PWP's)</a>

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/9/99199.htm#prime">Prime numbers of the form 99...99199...99</a>

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

%F a(n) = (A077776(n)-1)/2.

%t Do[If[PrimeQ[10^(2n + 1) - 8*10^n - 1], Print[n]], {n, 3000}]

%o (PARI) is(n)=ispseudoprime(10^(2*n+1)-8*10^n-1) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A004023, A077775-A077798, A107123-A107127, A107648, A107649, A115073, A183174-A183187.

%K nonn,base

%O 1,2

%A _Ray Chandler_, Dec 28 2010

%E Added one more term from PWP table, by _Patrick De Geest_, Nov 05 2014

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Last modified April 25 07:07 EDT 2024. Contains 371964 sequences. (Running on oeis4.)