A119264
Primes of the form k^6 + k^2 + 1.
Original entry on oeis.org
3, 739, 2986129, 11390851, 191103553, 387421219, 1291469059, 2176783633, 8303767651, 24794914213, 34296450499, 646990192099, 782757798913, 2194972636933, 3462826006819, 14412774469393, 27752076894853
Offset: 1
a(1) = 1^6 + 1^2 + 1 = 3 is prime.
a(2) = 3^6 + 3^2 + 1 = 739 is prime.
a(3) = 12^6 + 12^2 + 1 = 2986129 is prime.
a(4) = 15^6 + 15^2 + 1 = 11390851 is prime.
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[a: n in [0..250]|IsPrime(a) where a is n^6+n^2+1] // Vincenzo Librandi, Dec 22 2010
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Select[Table[n^6+n^2+1,{n,200}],PrimeQ] (* Harvey P. Dale, Oct 17 2019 *)
A119448
Primes of the form k^k + k^2 + 1.
Original entry on oeis.org
2, 3, 37, 285311670733, 1102507499354148695951786433413508348166942596435548101, 3877924263464448622666648186154330754898344901344205917642325627886496385065073
Offset: 1
a(3) = 11^11 + 11^2 + 1 = 285311670733 is prime.
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[a: n in [0..250]|IsPrime(a) where a is n^n+n^2+1] // Vincenzo Librandi, Dec 22 2010
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Join[{2},Select[Table[n^n+n^2+1,{n,50}],PrimeQ]] (* Harvey P. Dale, Feb 07 2018 *)
A119987
Primes of the form k^k + k^3 + 1.
Original entry on oeis.org
2, 3, 13, 3251, 16777729, 387421219, 11112006825560761, 443426488243037769948249630619149912487, 1075911801979993982060429252856123779115487368830416064665177
Offset: 1
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[ a: n in [0..250] | IsPrime(a) where a is n^n+n^3+1 ]; // Vincenzo Librandi, Dec 22 2010
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f[n_] := (n^n + n^3 + 1); Select[f@ Range@ 40, PrimeQ]
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for(n=1, 255, if(ispseudoprime(t=n^n+n^3+1), print1(t", "))); v \\ Charles R Greathouse IV, Feb 17 2011
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