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A110967 Numbers k such that 23*k^2 + 49 is prime. 0

%I #15 Sep 08 2022 08:45:20

%S 6,12,24,30,66,78,120,144,150,156,180,198,228,240,246,258,264,270,276,

%T 288,312,318,360,366,384,390,444,456,498,516,522,540,558,594,600,612,

%U 618,654,666,690,738,816,828,858,864,870,888,900,936,948,984,1002,1020

%N Numbers k such that 23*k^2 + 49 is prime.

%H Emre Alkan, Alexandru Zaharescu, <a href="https://doi.org/10.1142/S1793042105000029">Nonvanishing of the Ramanujan tau function in short intervals</a>, International Journal of Number Theory, Vol. 1, No. 1 (2005) 45-51.

%e 23*156^2 + 49 = 559777 (prime).

%o (Magma) [ n: n in [0..1500] | IsPrime( 23*n^2 + 49) ] // _Vincenzo Librandi_, Jan 31 2011

%o (PARI) is(n)=isprime(23*n^2+49) \\ _Charles R Greathouse IV_, Jun 13 2017

%K nonn,easy

%O 1,1

%A _Parthasarathy Nambi_, Sep 26 2005

%E Edited by _Don Reble_, Nov 08 2005

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Last modified April 23 07:42 EDT 2024. Contains 371905 sequences. (Running on oeis4.)