A108341 Numbers n such that 997*n - 1009 is prime.

6, 8, 18, 30, 36, 38, 44, 66, 78, 90, 98, 104, 116, 134, 140, 144, 156, 164, 168, 170, 200, 228, 230, 246, 248, 260, 276, 296, 318, 344, 354, 374, 378, 380, 386, 408, 420, 426, 450, 464, 468, 480, 500, 510, 546, 576, 578, 584, 606, 608, 618, 620, 630, 654, 678

Offset

1,1

Comments

997 and 1009 are primes.

All terms are even. - Harvey P. Dale, Mar 09 2019

Links

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

Example

If n=6, then 997*n - 1009 = 4973 (prime).
If n=90, then 997*n - 1009 = 88721 (prime).

Maple

a:=proc(n) if isprime(997*n-1009)=true then n else fi end: seq(a(n), n=1..750); # Emeric Deutsch, Jul 04 2005

Mathematica

Select[Range[2, 700, 2], PrimeQ[997#-1009]&] (* Harvey P. Dale, Mar 09 2019 *)

Prog

(PARI) is(n)=isprime(997*n-1009) \\ Charles R Greathouse IV, Jun 13 2017

Crossrefs

Cf. A101086.

Sequence in context: A165720 A315945 A086913 * A350526 A173975 A349770

Adjacent sequences: A108338 A108339 A108340 * A108342 A108343 A108344

Keyword

nonn,easy

Author

Parthasarathy Nambi, Jun 30 2005

Extensions

More terms from Emeric Deutsch, Jul 04 2005

Status

approved