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Smallest k>n such that n^2+n+1 divides k^2+k+1.
0

%I #6 Mar 30 2012 18:39:02

%S 4,4,9,16,25,36,49,64,16,100,30,144,169,196,225,100,289,324,361,400,

%T 441,484,102,576,67,121,729,784,230,410,961,485,1089,1156,61,552,163,

%U 1444,485,1600,1681,737,1849,893,372,571,840,1134,178,2500,809,2704

%N Smallest k>n such that n^2+n+1 divides k^2+k+1.

%o (PARI) for(n=1,100,s=n+1; while((s^2+s+1)%(n^2+n+1)>0,s++); print1(s,","))

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, May 31 2002