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

Author

Parthasarathy Nambi, Jan 21 2005

Keywords

• nonn

Comments

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

Examples

			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).
		

Crossrefs

Cf. A100776, A101084, A101123, A101444.

Programs

Magma

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

Mathematica

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

Extensions

Extended by Ray Chandler, Jan 25 2005