A101567 Numbers n such that 1009*n + 10007 is prime.

0, 6, 14, 20, 26, 30, 44, 48, 50, 74, 96, 110, 116, 134, 138, 144, 146, 168, 170, 180, 198, 204, 216, 228, 254, 258, 260, 278, 284, 294, 320, 344, 350, 356, 368, 386, 398, 404, 410, 414, 420, 480, 504, 518, 524, 536, 564, 566, 578

Offset

1,2

Comments

Note 1009 is the smallest four-digit prime and 10007 is the smallest five-digit prime.

Links

Harvey P. Dale, Table of n, a(n) for n = 1..1000

Example

If n=6, then 1009*6 + 10007 = 16061 (prime).
If n=110, then 1009*110 + 10007 = 120997 (prime).
If n=180, then 1009*180 + 10007 = 191627 (prime).

Mathematica

Select[Range[0, 600], PrimeQ[1009# + 10007] &] (* Stefan Steinerberger, Feb 28 2006 *)

Prog

(PARI) is(n)=isprime(1009*n+10007) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Sequence in context: A048747 A175678 A173870 * A123267 A236928 A064708

Adjacent sequences: A101564 A101565 A101566 * A101568 A101569 A101570

Keyword

nonn,easy

Author

Parthasarathy Nambi, Jan 25 2005

Extensions

More terms from Stefan Steinerberger, Feb 28 2006

Status

approved