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A106700 Numbers k such that 9973*k - 1009 is prime. 1
32, 72, 74, 90, 92, 96, 102, 104, 114, 116, 120, 144, 156, 200, 210, 216, 230, 236, 242, 260, 270, 272, 294, 296, 312, 314, 324, 326, 336, 344, 354, 386, 432, 450, 456, 464, 476, 494, 516, 522, 530, 546, 566, 600, 620, 630, 632, 660, 686, 714, 716, 726, 734 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

1009 and 9973 are the smallest and largest of four-digit primes.

LINKS

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

EXAMPLE

If k=32, then 9973*k - 1009 = 318127 (prime).

If k=116, then 9973*k - 1009 = 1155859 (prime).

MATHEMATICA

Select[Range[1000], PrimeQ[9973#-1009]&] (* Harvey P. Dale, Jan 29 2013 *)

PROG

MAGMA) [n: n in [1..100000] | IsPrime(9973*n - 1009)]; // Vincenzo Librandi, Nov 13 2010

(PARI) is(n)=isprime(9973*n-1009) \\ Charles R Greathouse IV, Jun 12 2017

CROSSREFS

Cf. A105680, A105710.

Sequence in context: A135110 A228665 A101539 * A250755 A216427 A104026

Adjacent sequences:  A106697 A106698 A106699 * A106701 A106702 A106703

KEYWORD

nonn,easy

AUTHOR

Parthasarathy Nambi, May 13 2005

STATUS

approved

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Last modified September 19 09:35 EDT 2021. Contains 347556 sequences. (Running on oeis4.)