login
Numbers k such that 10007*k + 99991 is prime.
2

%I #22 Sep 08 2022 08:45:18

%S 0,6,14,54,66,80,86,90,126,128,146,198,200,206,216,234,236,266,278,

%T 296,308,326,336,350,368,380,390,420,438,446,458,476,494,530,534,536,

%U 564,584,590,594,614,630,660,668,674,678,684,716,758,860,870,894,936,944

%N Numbers k such that 10007*k + 99991 is prime.

%C 10007 and 99991 are the smallest and largest five-digit primes.

%H Daniel Starodubtsev, <a href="/A107301/b107301.txt">Table of n, a(n) for n = 1..10000</a>

%e If k=0, then 10007*k + 99991 = 99991 (prime).

%e If k=128, then 10007*k + 99991 = 1380887 (prime).

%t Select[Range[0,1000],PrimeQ[10007#+99991]&] (* _Harvey P. Dale_, May 01 2018 *)

%o (Magma) [n: n in [0..100000] | IsPrime(10007*n + 99991)]; // _Vincenzo Librandi_, Nov 13 2010

%o (PARI) is(n)=isprime(10007*n+99991) \\ _Charles R Greathouse IV_, Jun 13 2017

%Y Cf. A107302.

%K nonn,easy

%O 1,2

%A _Parthasarathy Nambi_, May 20 2005