login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo

Please make a donation to keep the OEIS running. We are now in our 56th year. In the past year we added 10000 new sequences and reached almost 9000 citations (which often say "discovered thanks to the OEIS").
Other ways to donate

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A101086 Numbers k for which 997*k + 1009 is prime. 7
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 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

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

Solutions of the equation (997*k+1009)'=1, where k' is the arithmetic derivative of k. - Paolo P. Lava, Nov 27 2012

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 * A297620 A074924 A064166

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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified November 27 15:11 EST 2020. Contains 338683 sequences. (Running on oeis4.)