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A099082 Numbers k such that 1.2. ... .k-1.k + 2 is prime (dot between numbers means concatenation). 3

%I #16 Mar 14 2023 16:25:19

%S 1,5,9,11,65,159

%N Numbers k such that 1.2. ... .k-1.k + 2 is prime (dot between numbers means concatenation).

%C Numbers k such that A007908(k)+2 is prime.

%C Next term is greater than 2000.

%C a(7) > 4034. - _J.W.L. (Jan) Eerland_, Nov 19 2022

%C a(7) > 15176. - _J.W.L. (Jan) Eerland_, Feb 24 2023

%e 9 is in the sequence because 123456789 + 2 is prime.

%t n=0;Monitor[Parallelize[While[True,If[PrimeQ[2+ToExpression[StringJoin[ToString/@Table[k,{k,1,n}]]]],Print[n]];n++];n],n] (* _J.W.L. (Jan) Eerland_, Nov 19 2022 *)

%Y Cf. A007908, A099081, A099083.

%K base,more,nonn

%O 1,2

%A _Farideh Firoozbakht_, Oct 23 2004

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Last modified April 16 08:27 EDT 2024. Contains 371698 sequences. (Running on oeis4.)