A102703 Numbers k such that 100*k+99 is prime.

1, 4, 5, 13, 14, 16, 19, 20, 23, 26, 29, 32, 34, 40, 47, 49, 50, 53, 61, 62, 65, 68, 74, 76, 85, 86, 89, 91, 100, 103, 104, 107, 112, 113, 116, 127, 128, 130, 133, 134, 137, 139, 146, 151, 152, 166, 170, 172, 175, 181, 188, 196, 203, 205, 208

Offset

1,2

Comments

Former name of this sequence: Numbers n such that n99 is prime.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 1..10000

Chris Caldwell, The First 1,000 Primes.

Formula

a(n) ~ 40n log n. - Charles R Greathouse IV, Mar 18 2011

Example

199 is prime, so 1 is in the sequence.
299 = 13*23 (composite), so 2 is not in the sequence.
4099 is prime, so 40 is in the sequence.

Mathematica

Do[If[PrimeQ[100*n + 99], Print[n]], {n, 1, 200}] (* Stefan Steinerberger, Feb 22 2006 *)
Select[Range[210], PrimeQ[100#+99]&]  (* Harvey P. Dale, Mar 18 2011 *)

Prog

(PARI) select(primes(10^5), n->n%100==99)\100 \\ Charles R Greathouse IV, Mar 18 2011
(Magma) [n: n in [0..300] | IsPrime(100*n + 99)]; // Vincenzo Librandi, Feb 14 2015

Crossrefs

Sequence in context: A326828 A348398 A132140 * A283483 A288755 A227897

Adjacent sequences: A102700 A102701 A102702 * A102704 A102705 A102706

Keyword

nonn,base,easy

Author

Parthasarathy Nambi, Feb 04 2005

Extensions

More terms from Stefan Steinerberger, Feb 22 2006

Corrected and extended by Harvey P. Dale, Mar 18 2011

Former name replaced with Feb 22 2006 comment from Stefan Steinerberger by Jon E. Schoenfield, Feb 14 2015

Edited by Jon E. Schoenfield, Feb 13 2015, Feb 14 2015

Status

approved