A091271 -id:A091271 - cp's OEIS frontend

A090696 Numbers k such that k^2 - 11 is a prime.

4, 8, 10, 18, 20, 28, 32, 38, 42, 48, 52, 62, 70, 78, 80, 90, 118, 120, 130, 148, 158, 160, 172, 182, 200, 210, 218, 228, 230, 232, 238, 248, 252, 258, 260, 262, 270, 272, 290, 298, 300, 302, 318, 340, 342, 350, 358, 360, 370, 372, 378, 388, 398, 410, 412, 420

Offset: 1

Giovanni Teofilatto, Dec 20 2003

nonn

M. Cerasoli, F. Eugeni and M. Protasi, Elementi di Matematica Discreta, Bologna 1988.
Emanuele Munarini and Norma Zagaglia Salvi, Matematica Discreta,UTET, CittaStudiEdizioni, Milano 1997.

Daniel Starodubtsev, Table of n, a(n) for n = 1..5000

A091272 gives primes, A091273 gives prime index.

Select[Range[4,1200],PrimeQ[#^2-11]&] (* Vladimir Joseph Stephan Orlovsky, Feb 27 2011*)

a(n) = 2*A091271(n).

Extended by Ray Chandler, Dec 27 2003

A091272 Primes of the form n^2 - 11.

Original entry on oeis.org

5, 53, 89, 313, 389, 773, 1013, 1433, 1753, 2293, 2693, 3833, 4889, 6073, 6389, 8089, 13913, 14389, 16889, 21893, 24953, 25589, 29573, 33113, 39989, 44089, 47513, 51973, 52889, 53813, 56633, 61493, 63493, 66553, 67589, 68633, 72889, 73973

Offset: 1

Ray Chandler, Dec 27 2003

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Primes arising in A090696 and A091271, A091273 gives prime index.

[a: n in [4..600] | IsPrime(a) where a is n^2-11]; // Vincenzo Librandi, Dec 01 2011

lst={};Do[s=n^2;If[PrimeQ[p=s-11], AppendTo[lst, p]], {n, 7!}];lst (* Vladimir Joseph Stephan Orlovsky, Sep 27 2008 *)
Select[Range[4,1000]^2-11,PrimeQ] (* Vincenzo Librandi, Dec 01 2011 *)

A091273 Indices of primes of the form k^2 - 11.

Original entry on oeis.org

3, 16, 24, 65, 77, 137, 170, 227, 273, 341, 392, 532, 654, 792, 833, 1017, 1645, 1686, 1948, 2456, 2757, 2818, 3210, 3550, 4203, 4589, 4898, 5317, 5397, 5482, 5743, 6186, 6364, 6636, 6735, 6822, 7205, 7300, 8198, 8598, 8713, 8820, 9683, 10920, 11040, 11521, 11997

Offset: 1

Ray Chandler, Dec 27 2003

nonn

A091272 indexed by A000040.

Cf. A090696, A091271, A091272.

Select[Range[12000],IntegerQ[Sqrt[Prime[#]+11]]&]  (* Harvey P. Dale, Jan 16 2011 *)

a(n)=j such that A000040(j)=A091272(n).

Offset changed to 1 by Jinyuan Wang, Aug 02 2021

cp's OEIS Frontend

A090696 Numbers k such that k^2 - 11 is a prime.

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A091272 Primes of the form n^2 - 11.

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A091273 Indices of primes of the form k^2 - 11.

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