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 A085602 Numbers of the form (2n+1)^(2n+1) + 1. 1
 2, 28, 3126, 823544, 387420490, 285311670612, 302875106592254, 437893890380859376, 827240261886336764178, 1978419655660313589123980 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS These numbers cannot be a perfect square. Moreover, x^x + 1 <> k^x for if it were, we would have a a counter-example to Fermat's Last Theorem. LINKS Harvey P. Dale, Table of n, a(n) for n = 1..193 FORMULA Also even Sierpinski numbers of the first kind. MATHEMATICA #^#+1&/@Range[1, 21, 2] (* Harvey P. Dale, Dec 08 2012 *) PROG (PARI) forstep(x=1, 20, 2, print1(x^x+1" ")) CROSSREFS Cf. A014566. Sequence in context: A230700 A168554 A152792 * A058502 A080266 A308757 Adjacent sequences:  A085599 A085600 A085601 * A085603 A085604 A085605 KEYWORD easy,nonn AUTHOR Cino Hilliard, Jul 07 2003 STATUS approved

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Last modified October 21 16:04 EDT 2019. Contains 328301 sequences. (Running on oeis4.)