login
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
OFFSET
1,2
COMMENTS
Former name of this sequence: Numbers n such that n99 is prime.
LINKS
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
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