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A154276 Primes of the form 81*n^2 - 72*n + 17. 4

%I #14 Sep 08 2022 08:45:40

%S 17,197,30977,52901,80657,215297,287297,414737,462401,512657,739601,

%T 902501,972197,1008017,1196837,1401857,1623077,2496401,2611457,

%U 3422501,3763601,4343057,4494401,4726277,4884101,5456897,5541317,6330257

%N Primes of the form 81*n^2 - 72*n + 17.

%C Primes in A154277.

%H Vincenzo Librandi, <a href="/A154276/b154276.txt">Table of n, a(n) for n = 1..1000</a>

%p a := proc (n) if isprime(81*n^2-72*n+17) = true then 81*n^2-72*n+17 else end if end proc: seq(a(n), n = 0 .. 300); # _Emeric Deutsch_, Jan 20 2009

%t lst={};Do[If[PrimeQ[p=81*n^2-72*n+17],AppendTo[lst,p]],{n,0,7!}];lst (* _Vladimir Joseph Stephan Orlovsky_, Jan 11 2009 *)

%t Select[Table[81*n^2-72*n+17,{n,0,2000}],PrimeQ] (* _Vincenzo Librandi_, Jul 16 2012

%o (Magma) [a: n in [0..350] | IsPrime(a) where a is 81*n^2-72*n+17]; // _Vincenzo Librandi_, Jul 16 2012

%Y Cf. A154277.

%K nonn,easy

%O 1,1

%A _Vincenzo Librandi_, Jan 06 2009

%E Extended by _Emeric Deutsch_, Jan 20 2009

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)