|
Search: id:A105710
|
|
|
| A105710 |
|
Numbers n such that (9973*n + 1009) is prime. |
|
+0
12
|
|
| 0, 28, 36, 70, 76, 78, 106, 124, 136, 168, 184, 198, 208, 216, 226, 234, 238, 246, 258, 294, 300, 304, 318, 348, 364, 366, 370, 394, 418, 436, 454, 468, 474, 496, 556, 570, 588, 598, 604, 616, 660, 688, 696, 714, 736, 738, 744, 748
(list; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
1009 and 9973 are the smallest and the largest of four digit primes, respectively.
The theorem of Dirichlet shows that this sequence is infinite. - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
|
|
EXAMPLE
|
If n=0, then 9973*n + 1009 = 1009 (prime).
If n=168, then 9973*n + 1009 = 1676473 (prime).
|
|
MATHEMATICA
|
For[n = 1, n < 1000, n++, If[PrimeQ[(9973*n + 1009)], Print[n]]] - Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
|
|
CROSSREFS
|
Sequence in context: A167308 A061900 A048023 this_sequence A080983 A096430 A034964
Adjacent sequences: A105707 A105708 A105709 this_sequence A105711 A105712 A105713
|
|
KEYWORD
|
nonn
|
|
AUTHOR
|
Parthasarathy Nambi (PachaNambi(AT)yahoo.com), May 06 2005
|
|
EXTENSIONS
|
More terms from Stefan Steinerberger (stefan.steinerberger(AT)gmail.com), Feb 12 2006
|
|
|
Search completed in 0.002 seconds
|
