A101086 Numbers k for which 997*k + 1009 is prime.

0, 6, 10, 12, 22, 36, 64, 76, 82, 94, 126, 130, 136, 144, 150, 162, 174, 186, 202, 204, 246, 250, 252, 274, 276, 292, 294, 300, 306, 312, 330, 342, 360, 364, 390, 430, 466, 472, 480, 484, 490, 502, 526, 540, 546, 582, 586, 592, 594, 606, 610, 616, 622, 642

Offset

1,2

Comments

997 is the largest three-digit prime and 1009 is the smallest four-digit prime.

Links

Table of n, a(n) for n=1..54.

Example

If k=6, then 997*6 + 1009 = 6991 (prime).
If k=10, then 997*10 + 1009 = 10979 (prime).
If k=12, then 997*12 + 1009 = 12973 (prime).

Mathematica

Select[Range[0, 700], PrimeQ[997#+1009]&] (* Harvey P. Dale, Jun 29 2011 *)

Prog

(Magma) [ n: n in [0..700] | IsPrime(997*n + 1009) ]; // Vincenzo Librandi, Feb 04 2011

Crossrefs

Cf. A100776, A101084, A101123, A101444.

Sequence in context: A315138 A315139 A046363 * A342648 A297620 A074924

Adjacent sequences: A101083 A101084 A101085 * A101087 A101088 A101089

Keyword

nonn

Author

Parthasarathy Nambi, Jan 21 2005

Extensions

Extended by Ray Chandler, Jan 25 2005

Status

approved