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Primes with a 2 followed by (possibly zero) 1's.
1

%I #14 Jan 17 2019 13:44:05

%S 2,211,2111,2111111111111,2111111111111111111,

%T 211111111111111111111111,

%U 2111111111111111111111111111111111111111111111111111111111,211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111

%N Primes with a 2 followed by (possibly zero) 1's.

%C Primes of the form (19*10^n-1)/9.

%C The next term (a(9)) has 544 digits. _Harvey P. Dale_, Sep 28 2015

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/2/21111.htm#prime">Prime numbers of the form 211...11</a>.

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

%F a(n) = (19*10^A056700(n)-1)/9.

%t Select[Table[FromDigits[Join[{2},PadRight[{},n,1]]],{n,0,130}],PrimeQ] (* _Harvey P. Dale_, Sep 28 2015 *)

%o (PARI) for(n=0,200, if(isprime(2*10^n+(10^(n)-1)/9)==1,print1(2*10^n+(10^(n)-1)/9,",")))

%Y Cf. A056700.

%K nonn

%O 1,1

%A _Amarnath Murthy_, Mar 07 2002

%E More terms from _Benoit Cloitre_, Mar 09 2002

%E Edited by _Ray Chandler_, Feb 03 2012

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Last modified September 20 03:37 EDT 2024. Contains 376016 sequences. (Running on oeis4.)