[seqfan] Re: A001576

Jacques Tramu jacques.tramu at echolalie.com
Tue Feb 10 19:26:50 CET 2009


Are there other  n (besides 1,3,9)   such as 
1 +2^n+4^n is prime ?

> From: <vincenzo.librandi at tin.it>
> Conjecture
> If a(n) =1^n+2^n+4^n= prime number,
>   then
>   n is the 
> form
>   3^h.
> 
> Example:
>   For h=1, n=3, and 1^3+2^3+4^3=73 (prime)
>   
> h=2, n=9,
> and
>   1^9+2^9+4^9=262657 (prime)





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