

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
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OFFSET

1,2


COMMENTS

997 is the largest threedigit prime and 1009 is the smallest fourdigit 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



