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%I #5 May 26 2021 02:44:48
%S 17,6779,293617,2992417,24101863,423722581,625997497,929306267,
%T 3377032037,3825265007,6458885659,7150892197,13075407803,13860035251,
%U 19434399319,32531231209,47475445333,50281049527,53207636077,62607479491,85780812151,106014038789,109384656937,121991823731,125813698531
%N Primes which are two greater than A191746 terms.
%C Among numbers a(1..564) are 38 twin primes of which 14 are twins to numbers in A344147 with the first of the latter pairs being A344147(16)=85780812149 and a(21)=85780812151. In contrast it appears that A097490, A097491, A097493 and A343778 contain only twin prime numbers from the set {5, 7, 17}.
%e a(1)=17=A191746(1)+2 is the first prime and a(2)=6779=A191746(7)+2 is the second of the form A191746(k)+2; both are twin primes while a(3)=293617 is not.
%t (* function a191746[ ] is defined in A344147 *)
%t a344148[n_] := Select[a191746[n] + 2, PrimeQ]
%t a344148[500]
%Y Cf. A037074, A074040, A077800, A079164, A097490, A097491, A097493, A191746, A344147.
%K nonn
%O 1,1
%A _Hartmut F. W. Hoft_, May 10 2021