login

Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).

Numbers k such that 3*10^k - 11 is prime.
0

%I #35 May 03 2024 07:45:53

%S 1,4,7,11,14,16,22,29,36,40,65,139,149,204,842,1031,1331,1345,1505,

%T 1894,3386,3526,11092,23836,37836,138811,182614

%N Numbers k such that 3*10^k - 11 is prime.

%C Some of the larger entries may only correspond to probable primes.

%C Numbers corresponding to terms <= 842 are certified primes. - _Klaus Brockhaus_, Feb 16 2005

%C Next term > 12500. - _Ryan Propper_, Jul 21 2006

%C For k > 1, numbers k such that the digit 2 followed by k-2 occurrences of the digit 9 followed by the digits 89 is prime. - _Robert Price_, Nov 25 2017

%C a(28) > 2*10^5. - _Robert Price_, Jul 04 2018

%H Makoto Kamada, <a href="https://stdkmd.net/nrr">Factorization of near-repdigit-related numbers</a>.

%H Makoto Kamada, <a href="https://stdkmd.net/nrr/prime/prime_difficulty.txt">Search for 29w89</a>.

%t Select[Range[1,500],PrimeQ[3*10^# - 11]&] (* _Julien Kluge_, Sep 19 2016 *)

%o (PARI) is(n)=ispseudoprime(3*10^n - 11) \\ _Charles R Greathouse IV_, Jun 13 2017

%K more,nonn

%O 1,2

%A Tom Mueller (muel4503(AT)uni-trier.de), Feb 08 2005

%E a(15)-a(19) from _Klaus Brockhaus_, Feb 16 2005

%E a(20)-a(23) from _Ryan Propper_, Jul 21 2006

%E a(24)-a(25) from _Robert Price_, Nov 25 2017

%E a(26) from _Robert Price_, Jul 04 2018

%E a(27) from _Robert Price_, Jul 25 2018