A105680 Numbers k such that 1009*k + 9973 is prime.

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

Offset

1,2

Comments

1009 and 9973 are the smallest and largest four-digit 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: A149171 A149172 A338296 * A261577 A224217 A066454

Adjacent sequences: A105677 A105678 A105679 * A105681 A105682 A105683

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 06 2005

Status

approved