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A055559 Primes of the form 2999...999. 0

%I #20 Jan 22 2023 17:09:52

%S 2,29,2999,2999999,29999999,29999999999999999999,

%T 2999999999999999999999999999,

%U 29999999999999999999999999999999999999999999,29999999999999999999999999999999999999999999999999999999

%N Primes of the form 2999...999.

%C a(9)=29999999999999999999999999999999999999999999999999999999. - _Vincenzo Librandi_, Aug 07 2010

%C The next term (a(10)) has 208 digits, and a(11) has 1312 digits. - _Harvey P. Dale_, Jan 22 2023

%e 3*10^k - 1 is prime for {1,3,6,7,19,27,43,55,207}; k gives the number of 9's in these numbers.

%t Select[Table[FromDigits[PadRight[{2}, n, 9]], {n, 60}], PrimeQ] (* _Harvey P. Dale_, Jan 22 2023 *)

%Y Cf. A051200.

%K base,nonn

%O 1,1

%A _Labos Elemer_, Jul 10 2000

%E Erroneous Formula entry removed by _Jon E. Schoenfield_, Jan 14 2018

%E Extended by _Harvey P. Dale_, Jan 22 2023

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Last modified April 19 23:15 EDT 2024. Contains 371798 sequences. (Running on oeis4.)