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A106695 Numbers k such that 101*k - 997 is prime. 1
10, 16, 18, 24, 28, 34, 48, 54, 58, 66, 70, 76, 84, 90, 96, 100, 124, 136, 138, 150, 154, 156, 168, 178, 180, 186, 198, 208, 228, 234, 238, 256, 264, 276, 280, 294, 298, 300, 310, 318, 324, 336, 340, 354, 360, 366, 370, 376, 378, 390, 406, 418, 430, 450, 468 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

101 and 997 are the smallest and largest three-digit primes.

LINKS

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

EXAMPLE

If k=10, then 101*k - 997 = 13 (prime).

If k=66, then 101*k - 997 = 5669 (prime).

MATHEMATICA

Select[Range[5, 500], PrimeQ[101#-997]&] (* Harvey P. Dale, Sep 01 2021 *)

PROG

(Magma) [n: n in [10..100000] | IsPrime(101*n - 997)]; // Vincenzo Librandi, Nov 13 2010

(PARI) is(n)=isprime(101*n-997) \\ Charles R Greathouse IV, Jun 13 2017

CROSSREFS

Cf. A105679, A105583.

Sequence in context: A187797 A352297 A192221 * A053747 A228491 A295667

Adjacent sequences: A106692 A106693 A106694 * A106696 A106697 A106698

KEYWORD

nonn,easy

AUTHOR

Parthasarathy Nambi, May 13 2005

STATUS

approved

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Last modified December 4 04:59 EST 2022. Contains 358544 sequences. (Running on oeis4.)