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Primes of the form p^2 - p + 1 where p is prime.
9

%I #20 Sep 22 2015 15:09:27

%S 3,7,43,157,4423,6163,19183,22651,26407,37057,113233,121453,143263,

%T 208393,292141,375157,412807,527803,590593,843643,981091,1041421,

%U 1193557,1246573,1441201,1514131,1905781,2023507,2397853,2453923,2548813,2626021,2864557

%N Primes of the form p^2 - p + 1 where p is prime.

%C Note that p^2 - p + 1 = p * phi(p) + 1 when p is prime.

%H Vincenzo Librandi, <a href="/A074268/b074268.txt">Table of n, a(n) for n = 1..1000</a>

%t Select[Table[p = Prime[n]; p*EulerPhi[p] + 1, {n, 270}], PrimeQ] (* _Arkadiusz Wesolowski_, Dec 13 2011 *)

%t Select[Table[p^2-p+1,{p,Prime[Range[300]]}],PrimeQ] (* _Harvey P. Dale_, Sep 22 2015 *)

%Y Cf. A065508 (values of p).

%K nonn,easy

%O 1,1

%A _Enoch Haga_, Jan 16 2004