

A105680


Numbers k such that 1009*k + 9973 is prime.


4



0, 4, 10, 34, 40, 70, 106, 124, 136, 144, 150, 162, 166, 174, 186, 190, 202, 244, 280, 300, 312, 360, 370, 372, 376, 384, 390, 412, 454, 456, 466, 472, 474, 504, 522, 540, 544, 546, 550, 574, 586, 592, 606, 612, 624, 636, 654, 670, 682, 684, 690, 694, 696
(list;
graph;
refs;
listen;
history;
text;
internal format)



OFFSET

1,2


COMMENTS

1009 and 9973 are the smallest and largest fourdigit primes, respectively.


LINKS

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


EXAMPLE

If k=0, then 1009*k + 9973 = 9973 (prime).
If k=144, then 1009*k + 9973 = 155269 (prime).


PROG

(MAGMA) [n: n in [0..700]  IsPrime(1009*n+9973)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(1009*n+9973) \\ Charles R Greathouse IV, Jun 06 2017


CROSSREFS

Cf. A105679.
Sequence in context: A317800 A149171 A149172 * A261577 A224217 A066454
Adjacent sequences: A105677 A105678 A105679 * A105681 A105682 A105683


KEYWORD

nonn,easy


AUTHOR

Parthasarathy Nambi, May 06 2005


STATUS

approved



