

A102703


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


2



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
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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: A003969 A326828 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



