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A183176 Numbers n such that (10^(2n+1)+12*10^n-1)/3 is prime. 2

%I #25 Oct 30 2023 18:04:57

%S 1,3,7,11,13,17,29,31,33,77,933,1555,11758,117707

%N Numbers n such that (10^(2n+1)+12*10^n-1)/3 is prime.

%C a(14) > 100000. - _Robert Price_, Dec 29 2016

%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#pwp373">Palindromic Wing Primes (PWP's)</a>

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/3/33733.htm#prime">Prime numbers of the form 33...33733...33</a>

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

%F a(n) = (A077790(n)-1)/2.

%t Do[If[PrimeQ[(10^(2n + 1) + 12*10^n - 1)/3], Print[n]], {n, 3000}]

%o (PARI) is(n)=ispseudoprime((10^(2*n+1)+12*10^n-1)/3) \\ _Charles R Greathouse IV_, Jun 13 2017

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

%K nonn,more,base

%O 1,2

%A _Ray Chandler_, Dec 28 2010

%E a(14) from _Robert Price_, Oct 30 2023

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Last modified April 25 12:33 EDT 2024. Contains 371969 sequences. (Running on oeis4.)