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A101557 Numbers k such that 101*k + 1009 is prime. 1

%I #15 May 24 2018 08:03:55

%S 0,12,14,24,32,48,60,68,78,90,92,102,110,122,132,134,138,140,152,164,

%T 168,174,182,188,204,218,222,224,230,258,264,270,288,294,302,308,320,

%U 344,360,362,368,374,402,404,432,434,438,444,470,474,498

%N Numbers k such that 101*k + 1009 is prime.

%C 101 is the smallest three-digit prime and 1009 is the smallest four-digit prime.

%H G. C. Greubel, <a href="/A101557/b101557.txt">Table of n, a(n) for n = 1..10000</a>

%e If n=0, then 101*0 + 1009 = 1009 (prime).

%e If n=90, then 101*90 + 1009 = 10099 (prime).

%e If n=164, then 101*164 + 1009 = 17573 (prime).

%t Select[Range[0, 500], PrimeQ[101# + 1009] &] (* _Stefan Steinerberger_, Feb 28 2006 *)

%o (PARI) is(n)=isprime(101*n+1009) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,easy

%O 1,2

%A _Parthasarathy Nambi_, Jan 25 2005

%E More terms from _Stefan Steinerberger_, Feb 28 2006

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Last modified May 10 05:09 EDT 2024. Contains 372356 sequences. (Running on oeis4.)