A000001 1+n^3+n^5 is prime

Artur grafix at csl.pl
Wed Dec 13 21:36:32 CET 2006


Related sequence to Zak's
%S A000001 1,1,2,1,2,1,10,2,2,1,2,1,48,182,2,1,60,1,10,42,2,1
%N A000001 Smallest number n such that 1+Sum(n^(2k-1)) is prime  
k=1,2,3,4,...
%C A000001 If number 1 occured in this sequence infinite times ?
%e A000001 a(7)=10 becuase n=10 is smallest prime number of the kind  
1+n+n^3+n^5+n^7+n^9+n^11+n^13=10101010101011
Polynomials 1+Sum(x^(2k-1)) aren't reducible
ARTUR

Dnia 13-12-2006 o 21:06:46 Gabriel Cunningham  
<gabriel.cunningham at gmail.com> napisał(a):

> Zak,
>
> The question is: what led you to this sequence? Were you working on
> something else and this sequence came up? (For instance, are all the
> solutions of some equation primes of this form?) If so, that sort of
> information should be submitted as a comment when you submit the  
> sequence.
> Otherwise, the sequence is of minimal interest - why should we care about
> primes of this form more than primes of any other form?
>
> And while I agree that the OEIS is full of seemingly arbitrary sequences,
> that's never an excuse to submit one more arbitrary one!
>
> Gabe
>
>
> On 12/13/06, zak seidov <zakseidov at yahoo.com> wrote:
>>
>> Dear Neil, seqfans,
>>
>> I have absolutely nothing against
>> this sequence being rejected,
>>
>> but OEIS is full of such and
>> much more arbitrary ones,
>> including those appearing
>> while OEIS being on vacation!
>>
>> WADR, Zak
>>
>> I copy this to seqfans,
>> It'd should be useful/interesting to others.
>> I've been constantly crying here about OEIS standards,
>> and think that
>> it'd be very useful/helpful/instructive etc
>> to have a list of rejected sequences.
>>
>>
>> On 12/6/06, N. J. A. Sloane <njas at research.att.com>
>> wrote:
>> > %S A000001
>> 1,2,3,5,6,9,17,20,23,27,30,39,41,47,51,57,68,72,74,78,80,96,105,111,1
>> >
>> 13,122,126,131,132,134,137,143,144,149,153,161,174,176,182,189
>> > %N A000001 1+n^3+n^5 is prime.
>> >
>> > Zak, this seems too arbitrary
>> >
>> > also, did you see my note about the OEIS being on
>> vacation?
>> > that includes you!
>> >
>>
>>
>>
>>
>> ____________________________________________________________________________________
>>
>> Any questions? Get answers on any topic at  
>> www.Answers.yahoo.com<http://www.answers.yahoo.com/>.  Try
>> it now.
>>








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