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

Author

Parthasarathy Nambi, May 06 2005

Keywords

• nonn
• easy

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A105679.

Programs

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