A344148 Primes which are two greater than A191746 terms.

17, 6779, 293617, 2992417, 24101863, 423722581, 625997497, 929306267, 3377032037, 3825265007, 6458885659, 7150892197, 13075407803, 13860035251, 19434399319, 32531231209, 47475445333, 50281049527, 53207636077, 62607479491, 85780812151, 106014038789, 109384656937, 121991823731, 125813698531

Offset

1,1

Comments

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}.

Links

Table of n, a(n) for n=1..25.

Example

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.

Mathematica

(* function a191746[ ] is defined in A344147 *)
a344148[n_] := Select[a191746[n] + 2, PrimeQ]
a344148[500]

Crossrefs

Cf. A037074, A074040, A077800, A079164, A097490, A097491, A097493, A191746, A344147.

Sequence in context: A362434 A062659 A195813 * A243481 A287038 A198406

Adjacent sequences: A344145 A344146 A344147 * A344149 A344150 A344151

Keyword

nonn

Author

Hartmut F. W. Hoft, May 10 2021

Status

approved