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Search: id:A121270
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| A121270 |
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Primes of the form n^n+1 or prime Sierpinski numbers of the first kind A014566[n]. |
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+0 2
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OFFSET
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1,1
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COMMENT
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Sierpinski proved that n must be of the form 2^2^k for n^n+1 to be a prime. All a(n) must be the Fermat numbers F(m) with m = k+2^k = A006127[k].
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LINKS
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Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Sierpinski Numberof the First Kind
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MATHEMATICA
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Do[f=n^n+1; If[PrimeQ[f], Print[{n, f}]], {n, 1, 1000}]
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CROSSREFS
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Cf. A014566, A048861, A006127, A000215.
Sequence in context: A135724 A137068 A137066 this_sequence A085603 A042341 A016088
Adjacent sequences: A121267 A121268 A121269 this_sequence A121271 A121272 A121273
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KEYWORD
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nonn,bref
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AUTHOR
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Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 23 2006
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