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Numbers k > 0 such that 10^k + 2^k + 1 is prime.
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%I #20 Oct 10 2024 12:16:23

%S 1,3,9,17,19,27,351,813,869,1387,34383

%N Numbers k > 0 such that 10^k + 2^k + 1 is prime.

%C Terms greater than 351 yield probable primes. Next term > 10000. - _Vaclav Kotesovec_, Apr 30 2014

%t Select[Range[1,1000],PrimeQ[10^#+2^#+1]&] (* _Vaclav Kotesovec_, Apr 30 2014 *)

%o (Magma) [n: n in [1..800] | IsPrime(10^n+2^n+1) ];

%K nonn,more

%O 1,2

%A _Vincenzo Librandi_, Mar 11 2010

%E a(8)-a(10) from _Vaclav Kotesovec_, Apr 30 2014

%E a(11) from _Michael S. Branicky_, Oct 10 2024