A106692 Numbers k such that 97*k - 11 is prime.

6, 12, 46, 54, 64, 70, 90, 100, 102, 106, 112, 114, 126, 142, 156, 166, 172, 180, 184, 196, 202, 204, 210, 214, 222, 226, 240, 250, 256, 306, 310, 312, 322, 340, 354, 366, 370, 372, 406, 412, 424, 432, 436, 442, 454, 456, 466, 480, 492, 510, 532, 534, 540

Offset

1,1

Comments

11 and 97 are the smallest and largest of two-digit primes.

Links

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

Example

If k=6, then 97*k - 11 = 571 (prime).
If k=106, then 97*k - 11 = 10271 (prime).

Mathematica

Select[Range[600], PrimeQ[97#-11]&] (* Harvey P. Dale, May 18 2021 *)

Prog

(Magma) [n: n in [1..100000] | IsPrime(97*n - 11)]; // Vincenzo Librandi, Nov 13 2010
(PARI) is(n)=isprime(97*n-11) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A105773, A105775.

Sequence in context: A121160 A105863 A052904 * A032470 A342302 A018809

Adjacent sequences: A106689 A106690 A106691 * A106693 A106694 A106695

Keyword

nonn,easy

Author

Parthasarathy Nambi, May 13 2005

Status

approved