Logo

Greetings from The On-Line Encyclopedia of Integer Sequences!

Hints

Search: id:A121270
Displaying 1-1 of 1 results found. page 1
     Format: long | short | internal | text      Sort: relevance | references | number      Highlight: on | off
A121270 Primes of the form n^n+1 or prime Sierpinski numbers of the first kind A014566[n]. +0
2
2, 5, 257 (list; graph; listen)
OFFSET

1,1

COMMENT

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].

LINKS

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics. Sierpinski Numberof the First Kind

MATHEMATICA

Do[f=n^n+1; If[PrimeQ[f], Print[{n, f}]], {n, 1, 1000}]

CROSSREFS

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

KEYWORD

nonn,bref

AUTHOR

Alexander Adamchuk (alex(AT)kolmogorov.com), Aug 23 2006

page 1

Search completed in 0.002 seconds

Lookup | Welcome | Find friends | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Transforms | Puzzles | Hot | Classics
More pages | Superseeker | Maintained by N. J. A. Sloane (njas@research.att.com)

Last modified November 29 12:46 EST 2009. Contains 167659 sequences.


AT&T Labs Research