A101444 Numbers k such that (9973*k + 10007) is a prime.

0, 14, 32, 42, 48, 98, 104, 108, 120, 122, 132, 180, 204, 210, 224, 228, 230, 264, 278, 300, 302, 308, 318, 342, 344, 348, 350, 374, 384, 402, 410, 414, 428, 438, 444, 462, 470, 500, 522, 540, 564, 602, 614, 638, 644, 672, 678, 692, 698, 714, 720, 740, 782

Offset

1,2

Comments

Note that 9973 is the largest four-digit prime and 10007 is the smallest five-digit prime.

Links

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

Example

If k=14 then 9973*14 + 10007 = 149629 (prime).
If k=32 then 9973*32 + 10007 = 329143 (prime).
If k=42 then 9973*42 + 10007 = 428873 (prime).

Mathematica

Select[ Range[ 0, 791], PrimeQ[9973# + 10007]&] (* Robert G. Wilson v, Jan 20 2005 *)

Crossrefs

Cf. A101123, A101084, A101086, A101442.

Sequence in context: A196135 A276301 A101183 * A222414 A084194 A031109

Adjacent sequences: A101441 A101442 A101443 * A101445 A101446 A101447

Keyword

nonn

Author

Parthasarathy Nambi, Jan 18 2005

Extensions

Extended by Lior Manor, Ray Chandler and Robert G. Wilson v, Jan 20 2005

Status

approved